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The International Journal Of Engineering And Science (IJES)
|| Volume || 4 || Issue || 12 || Pages || PP -29-41|| 2015 ||
ISSN (e): 2319 – 1813 ISSN (p): 2319 – 1805
www.theijes.com The IJES Page 29
Design and Analysis of Solar Powered RC Aircraft
1
RAKESH C., 2
SUNIL KUMAR N.
[1]
Assistant Professor, Department of Mechanical Engineering New Horizon College of Engineering,
[2]
PG Scholar, Department of Mechanical Engineering, New Horizon College of Engineering
--------------------------------------------------------ABSTRACT-----------------------------------------------------------
The main objective of this project is to design and analyze aerodynamic as well as structural loads of the remote
controlled aircraft which uses solar energy emerged by the sun as a fuel. Designing of a solar powered aircraft
is a challenging task. Because using solar panels to generate enough energy to fly an aircraft is very difficult.
The generation of energy depends on the operating geographical area, weather and number of panels used on
the aircraft. The wing span of the aircraft should be increased to mount the solar panels to produce more
energy. This results in increasing weight and drag, which also increases number of ribs and length of spars.
According to these conditions stiffness of the wing has to be increased to prevent from failure. Aluminium and
Poly-urithene foams are used for ribs and spar structure. RC aircraft is designed by using Xflr software. 3D
modeling is performed using Catia v5. This design is imported to Nastran Patran for analysis where linear
analysis is carried out on wing structure. The distribution or variation of aerodynamic loads, maximum
principle stress, shear stress and maximum deflection are tabulated after the analysis. Reserve factor values for
the ribs, spars and skin of the wing are estimated. Stability and factor of safety are determined using the
analysis as per the airworthiness standards.
Keywords - Angle of attack, principal stress, shear stress, aerodynamic loads, reserve factor, factor of safety.
--------------------------------------------------------------------------------------------------------------------------------------
Date of Submission: 06 November 2015 Date of Accepted: 15 December 2015
--------------------------------------------------------------------------------------------------------------------------------------
I. Introduction
The success of a solar powered aircraft which can fly continuously was a great challenge a couple of years back,
yet this phenomenal test has been able to be conceivable today. To be perfectly honest, discriminating advances
have been recognized starting late in the spaces of versatile solar cells, high imperativeness thickness batteries,
UAVs are generally used as a piece of military applications for affirmation, regular recognition, ocean
observation and mine departure works out. Non-military applications are characteristic surveillance, rice paddy
remote recognizing and sprinkling and also system upkeep. There has risen a late criticalness for the aerospace
business to discover more practical answers for existing innovations. Blazing plane fuel is one of the numerous
supporters to carbon dioxide emanations (among others). A majority of our exploration was devoted to assessing
the capability of sun based power as an option force source. Through this examination - and in addition some
introductory outline – it was chosen to enlarge a RC model aircraft to outfit solar powered in conjunction with its
standard battery framework. The idea is very straightforward, furnished with the solar panels skinning its wing; it
recovers vitality from sun keeping in mind the end goal to gives energy to the drive framework and controlling
hardware, and then accuses battery of the excess of vitality. Amid in night, the main vitality accessible originates
from battery, which releases gradually until the following morning when another cycle begins. Expansion to
solar panels includes a dynamo which runs battery power. The impetus cycle begin by first supplying force from
solar cells or photovoltaic cells to batteries. Batteries store the charges and supplies to the engine in turn engine
runs and it will interface the propeller with a dynamo by certain instrument which thus produces force is put
away in batteries.
II. Methodology
Aircraft designing is a process that extends of creating and /or sketching new flight on the paper. These process
are classified in to three types and they are
a. Conceptual.
b. Preliminary.
c. Detailed.
The methodology provides conceptual design from which general requirements and size is estimated. These are
carried by using preliminary determination of aerodynamics and weight to make a better final unit. The plan's
Design and Analysis of Solar Powered RC …
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practicality to finish a given mission is set up however the subtle elements of the setup are not characterized.
That will likewise consider just steady flight. Where it is planned to accomplish reconnaissance at small
elevation or serve as height correspondence stage, sun powered flying machine fit for consistent flight needs to
fly at steady elevation. Actually, the first get futile to ground observation at upper elevation and another will not
cover an adequate territory at small altitude. For this situation, the vitality and mass parities are the beginning
stage of the configuration. Truth be told, the vitality gathered amid the day by the sun powered boards must be
adequate to control the engine, the on-load up gadgets furthermore gives power to battery which gives sufficient
energy to fly in sunset to the following sunrise when another period begins. In like manner, the lift power needs
to adjust precisely the plane weight so that the elevation is kept up.
Tools used
a. XFLR
b. CATIA V5 R19
c. MSC Nastran / Patran
III. Basic Designing Reqirements
The designing of main wing and tails are the basic requirements of an aircraft.
Weight, Lift and Thrust estimation
When a wing/airfoil is moving in a fluid, the fluid will passes through the upper and lower surfaces. As a result
fluid/air moves faster on upper surface than the lower surface. By the pressure differences between upper surface
and lower surface Lift will be generated.
For steady flight,
Weight (W) = Lift (L)
Drag (D) = Thrust (T)
Thrust
Generally need to estimate/fix the speed of an aircraft before estimating its weight. Thrust force is the force
required for the plane to move forward. For real flight it should be greater than the Drag force. For this aircraft
there is a fixed the speed, which is 16m/s.
Mass & lift
For a flight, it is possible that we can locate the mass of the flight and try to outline the plane with a specific end
goal to increase enough lift or concentrate the lift that most likely assemble and try to coordinate the comparing
weight. Considered the last, since it is simpler to make a plane lighter than to expand its lift. Making a plane
lighter should be possible through uprooting a few bits of hardware or supplanting them by lighter ones (saving
money on the battery for instance). Then again, attempting to build lift takes an awesome exertion, in light of the
fact that it requires overhauling and assembling the whole wings.
Lift can be calculated by this equation
L = ½ Cl × v2
×  × A
where, L = Lift (Newton)
cl = Coefficient of Lift
= Density of air (kg / m3
)
A = Surface area of wing (m2
)
v = Velocity (m/s)
Angle of attack (α)
The angle between the relative winds with the wing. If the angle of attack rises, as the result lift will also
increases but only up to a certain limit point until the airflow would be smooth over the wing separation and the
generation of lift cannot be generate. At this time, the sudden dismiss of lift will result in the stalling of the
flight, At which the weight of the aircraft no longer supported.
Reynolds number
Other than figuring out whether our wings produce enough lift, we should likewise know whether our wings
really create lift by any means. To be specific, tenderly and laminar wind current over a wing will just begin at a
sure speed. Moreover, when flying too quickly, the wind current will likewise turn out to be excessively
unpredictable and turbulent. The velocity range, at which the wind stream will be smooth and laminar, can be
evaluated utilizing a worth called the Reynolds number.
Reynolds number is a worth given to the stream conditions around items. For any article the ideal Reynolds
number contrasts, yet as a dependable guideline we can accept the Reynolds number should be between 5.0 ×
104 and 2.0 × 105 for airplane wings. The Reynolds number can be computed through the accompanying
equation.
Design and Analysis of Solar Powered RC …
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Re = v × L × μ-1× ρ
where, Re = Reynolds number
ρ = Fluid density (kg/m3
)
v = Fluid or gas velocity (m/s)
L = Length of fluid or gas travelled (m)
μ = Dynamic viscosity (Pa× s)
Consider the Reynolds number 2.2×105
And for steady flight, L=W
So estimated that over all weight of our flight should be within 2.5 Kg
There for, W= 2.5 kg
L=W= 2.5
From literature survey, by thumb rule for RC aircraft wing loading, weight/wing area (W/S) is 6 kg/m2
Density of air is 1.225 kg/ m3
V = 16 m/s
i.e, 2.5/S = 6
S = 0.41 m2
Cl = (2×L)/( × A × v2
Cl = (2×2.5×9.81)/(1.225×0.41×162
)
Cl = 0.4
Coefficient of lift for angle of attack (α) 30
to 40
, Cl 3 to 4
0
= 0.4
By the calculated values of the Cl, S and lift we designed the main wing of this aircraft.
A. Airfoil and wing design for small, low-speed air vehicles
A basic introduction to airfoil and wing aerodynamics is discussed below. It includes web-based programs for
airfoil design and wing analysis.
Wing design for small UAV's includes some new considerations, however, and this note is meant to highlight
some of these.
1) Wing Section Design
Typical wing design for large aircraft is often driven by transonic performance and cruise drag, but for small
UAV's may be constrained by the rate of climb or endurance and are often drive by propeller systems that supply
approximately fixed output of power rather than fixed thrust. By this changes the appropriate aerodynamic merit
function for wings and airfoils. In particular, for maximum range with a given energy, we may wish to maximize
L/D, but for a fixed power propulsion system, design for maximum climb rate or endurance requires maximizing
Cl 3/2 / Cd. Of course, this does not mean that the airfoil Cl 3/2 / Cd should be maximized, since the drag of the
fuselage and tails increases the optimal cl, while wing induced drag tends to lower the value. One needs to
include these effects in selecting the best airfoil and design point(s). In any case, it is usual that the overall
airplane performance requirements drive the section to operate at its highest practical lift coefficient. A second
important consideration in small sized aircraft airfoil design deals with the relatively low Reynolds numbers. In
addition to the usual difficulties with flow separation and higher skin friction coefficients, the lower Reynolds
numbers makes it harder to achieve the high lift coefficients demanded by long endurance operation. This is
compounded by the fact that low Reynolds numbers with higher skin friction increase the optimal design Cl.
Some of the issues important in the design of these low Reynolds number sections are exaggerated when the
design leads to insect-scale aerodynamics. The following paper on airfoil design at ultra-low Reynolds numbers
contains some ideas relevant to model-airplane sized designs in addition to the "Micro" and "Nano" air vehicles
discussed there. Kunz, P., Kroo, I., “Analysis, Design, and Testing of Airfoils for Use at Ultra-Low Reynolds
Numbers”, In Fixed, Flapping and Rotary Wing Aerodynamics for Micro Aerial Vehicle Applications, T.
Meuller, ed., AIAA.
2) Wing Design
Again, many of the considerations related to lift and Cl distributions for large aircraft wing design are relevant
here. The basic trade between aerodynamics and structures affects the choice of wing aspect ratio however; the
wing structural weight varies rather differently from large aircraft structures, leading to different platforms. In
addition, the fact that higher aspect ratio leads to lower Reynolds number and higher skin friction drag
coefficient lead to lower optimal aspect ratios. The optimal aspect ratio can be quite small at very low Reynolds
numbers, even when structural effects are excluded. Finally, the fact that many of these designs operate near
Design and Analysis of Solar Powered RC …
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maximum Cl, means that it is especially important to assure acceptable stalling characteristics. This often leads
to larger tip chords than would be selected otherwise. The deleterious effect of lower Re on section maximum Cl
also pushes these designs to larger tip chords (higher taper ratios) than would be optimal for large aircraft.
Airfoil selection
Geometry of an Airfoil can be characterized by the coordinates of the upper and lower surface. It is then
explained by a few parameters like, maximum thickness of airfoil, maximum camber of airfoil, position of max
thickness in an airfoil, position of max camber in an airfoil, and the radius of nose. So anyone can generate an
airfoil section by the given parameters as above. It‟s done by Eastman Jacobs in the early of 1930's to make a
series of airfoils called the NACA Sections.
Nomenclature of an Airfoil:
Fig nomenclature of Airfoil
a) c, is the chord length which is the length from the LE to the TE of a wing cross section which is parallel
to the vertical axis of symmetry of the airfoil.
b) Mean camber line. which line is half between the upper surface and lower surfaces
- leading edge (LE) is the front point on the mean camber line, trailing edge (TE) is the back point on
mean camber line of the airfoil.
c) Camber is the maximum distance between the mean camber line and the chord line, when measured
perpendicular to the chord line of the airfoil.
- 0 camber or un cambered refers the airfoil is symmetric above and below the chord line.
d) Thickness is the distance between upper and lower surface when measured perpendicular to the mean
camber line of the airfoil.
Types of airfoil
The NACA 4 digit and 5 digit airfoils were created by superimposing a simple mean line shape with a thickness
distribution that was obtained by fitting a couple of popular airfoils of the time
+- y = (t/0.2)×(0.2969 × x0.5
– 0.126 × x – 0.3537 × x2
+ 0.2843 × x3
– 0.1015 × x4
)
The camber line of 4-digit sections was defined as a parabola from the leading edge to the position of maximum
camber, then another parabola back to the trailing edge.
Fig NACA 4-digit series
Design and Analysis of Solar Powered RC …
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Main Wing details
For low speed aircraft generally flat bottom airfoils are used. Because flat bottom airfoil provides low drag with
high lift and if the power fails then it helps to glide the aircraft for some times in air. This helps the low speed
aircraft to safe land.
Comparison of airfoils for main wing
Compared these airfoils with each other. Comparison was based on angle of attack, Cl/Cd, Cl/α, Cd/α and
Cm/α. So by the smooth curve got from the graph so finalized GOE 611 airfoil
1) CLARCK-Y AIRFOIL
2) GOE 446 AIRFOIL
3) GOE 528 AIRFOIL
4) GOE 412 AIRFOIL
5) USA 27 mod. AIRFOIL
Selected GOE 611 airfoil because of the reason it is most commonly used in gliders and which is easy to
fabricate by hand.
Fig airfoil of main wing
Fig a: graph comparison
Design and Analysis of Solar Powered RC …
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Fig b: graph comparison
The point in airfoil where the lift can be supposed to be concentrated upon is called the center of pressure.
 Commonly it is located at c/4 of the airfoil (where c is the chord length).
 The point at which the weight of the aircraft acts is termed as center of gravity (CG).
 The CG must coincide with the center of pressure for weight balance in the aircraft.
 To locate CG to c/4, at the nose can add some weight (like paper clips, small coins).
Tail plane details
Tail plane is an aerodynamic surface used to stabilize and control the longitudinal (pitching) and/or directional
(yawing) moment of an aircraft.
For the tail plane, we have two stabilizers. One is horizontal stabilizer where elevator is mounted (for pitching
moment) and the other is vertical stabilizer where the rudder (for yawing moment) is mounted.
Some of the thumb rules considered for tail plane are
 wing span of horizontal tail will be 1/4th
of the span the main wing
 wing span of the vertical tail will be 1/2th
of the horizontal tail
 area of the horizontal tail will be equal to 15 to 20% of the main wing area
 horizontal stabilizer should be mount at the distance of (2 to 3) times of length of the main wing chord
Airfoil selection for tail (both horizontal and vertical stabilizer)
Compared these airfoils with each other. Comparison was based on angle of attack, Cl/Cd, Cl/α, Cd/α and
Cm/α. So by the smooth curve got from the graph so finalized NACA 0010 airfoil.
1)NACA 0010-34
2)NACA 0010-35
3)NACA 0010-64
4)NACA 0012
5)NACA0015
4 digit NACA airfoil i.e., NACA 0010, where camber is 0 and to chord length proportion is 10% thickness.
NACA airfoils are outer figure/sketch for wing of airplane. National Advisory Committee for Aeronautics
(NACA).
Fig 4.5.1: airfoil of tail
Design and Analysis of Solar Powered RC …
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Fig a: graph comparison
Fig b: graph comparison
Tail volume coefficient
Tail volume coefficient = area of the wing/ area of the tail, have the value 0.7 (generally)
i.e., v= (Lt × St) / (Sw × Cw)
where, Lt is the distance from AC of wing to CG of the tail
St is the area of tail
Sw is the area of wing
Cw is the wing chord length
XFLR Model of Aircraft Analysis.
Fig XFLR model of Aircraft Analysis
Design and Analysis of Solar Powered RC …
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The above figure shows the designing and specification of our solar powered rc aircraft.
SPECIFICATIONS WING HORIZONTAL TAIL VERTICAL TAIL
Wing span 1900 mm 420 mm 400 mm
Root chord 240 mm 210 mm 180 mm
Tip chord 160 mm 110 mm 100 mm
Area 0.38 m2
0.06 m2
0.03 m2
Mean aero chord 202 mm 136.54 143.81
Aspect ratio 9.50 3.11 2.86
Root to tip sweep 2.410
7.460
5.710
Table Specifications of wing and tail
Design specification for the Solar powered RC Aircraft
Parameter used Value
Wing Span 1900 mm
Root Chord length 240 mm
Airfoil type GOE611
Mass of the structure 0.5 kg
Wing Load 13.15kg/m3
Table Design specifications
Catia Model of XFLR Design
Fig Catia model of XFLR design
Above figure shows the front, top, side and isometric view of the solar powered aircraft
Fig 5.3.6.1: Isometric model
Design and Analysis of Solar Powered RC …
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IV. STRESS ANALYSIS
Importing the 3d Model of the wing
The 3d model of the wing which was designed in Catia is imported to Nastran and Patran for the Stress Analysis.
Fig Imported model isometric view
Discretization of the Structure
The next step in the finite element method is to divide the structure region into subdivisions or elements. Hence,
the structure is to be modeled with suitable finite elements. The number, type, size, and arrangement of the
elements are to be decided. Next is verification of mesh elements. First verified for element boundary, duplicate
elements, normal‟s and geometry fit meshing Quad element is checked for error. Errors in quad element are
 Aspect ratio
 Warp
 Taper
 Skew
If there is any error rectify the errors by processing modifying mesh.
Finite Element Modeling
Sl.no Element Type Number of elements
1 Bar 242
2 Quad 3039
3 Tria 96
Table Type of Elements Used
Fig Finite Element Model
Material Properties
Selection of aircraft materials depends on many considerations, in general can be categorized as cost and
structural performance. Cost includes initial material cost, manufacturing cost and maintenance cost. The key
material properties that are important to maintenance cost and structural performance are
 Density (weight)
 Stiffness (young‟s modulus)
 Strength (ultimate and yield strengths)
 Durability (fatigue)
 Damage tolerance (fracture toughness and crack growth)
 Corrosion
Design and Analysis of Solar Powered RC …
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Element Properties
SL.NO Element Type Component Properties
1 1D
Front spar
Hollow Square (w=8,h=8,t=1)
L-Section(w=8,h=8,t=1)
Nose spar
W=12;H=12:
Material: Aluminium
2 2D
Ribs t = 13
3 2D Skin t = 3
Table Finite Element Model Properties
Where, w- Width; h-Height; t-thickness (all in mm)
Applying LOADS and BOUNDARY CONDITIONS
Fig Boundary Conditions
V. ANALYSIS
After the application of Loads and Boundary conditions, with all the inputs of material selection and definition
of properties, the FE model of the component is ready to undergo the analysis procedures. The type of analysis
chosen here is a Linear static analysis with solution sequence code SOL101, the BDF (Bulk data file) is created,
it contains information about elements grid or node spc and material properties load and boundary conditions,
and BDF is the input file for the Solver (Msc.Nastran). The bdf of composite fuselage is shown below.
From the linear static stress analysis, from the Nastran &Patran software, the Von mises stress, Maximum
principal stress, Minimum Principal Stress, Maximum Shear Stress and the displacement results are obtained and
those results are quick plotted in Patran and simulated for better understanding of the behavior of the structure
for the loads applied.
VI. RESULTS
Reserve Factor
The result validation is done based on material ultimate strength with R.F (Reserve Factor) table.
R.F= ultimate strength/obtained stress
Note:
 If R.F value is less than 1 means component fails.
 If R.F value is greater than 1 to 1.5 means component is safe.
 If R.F value is greater than 1.5 means component is too safe.
Calculations
Maximum take of wieght = 3.5 kg× 9.81 = 34.335 N
Limit load = take of wieght × lift
Load factor at max “G” condition (lift load) = 1.5 G
34.335× 1.5 = 51.5025 N
Design load = limit load × factor of safety
Factor of safety = 1.5
51.5025× 1.5 = 77.2537
Design and Analysis of Solar Powered RC …
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Load of semi span = design load/ 2
77.2537/ 2 = 38.627
Pressure load on wing = load on semi wing span / wing area
38.627 /1500 = 0.0257 N/mm2
Reserve factor table
Sl No. Component Types of stress Result
obtained
Units
Ultimate tensile
strength of
material
Reserve factor
1 Skin
Von mises 19.5 N/mm2
20.7 1.061538
Max Principal 18.7 N/mm2
20.7 1.106952
Max Shear Stress 9.98 N/mm2
12.42 1.244489
2 Ribs
Von mises 19.5 N/mm2
20.7 1.061538
Max Principal 18.7 N/mm2
20.7 1.106952
Max Shear Stress 9.98 N/mm2
12.42 1.244489
3 Nose Spar
Von mises 1.38 N/mm2
480 347.8261
Max Principal 1.56 N/mm2
480 3076923
Max Shear Stress 0.784 N/mm2
480 614.5967
4 Front Spar
Von mises 10.8 N/mm2
480 44.44444
Max Principal 10.2 N/mm2
480 47.05882
Max Shear Stress 5.74 N/mm2
480 83.62369
Table Reserve factor table
FEA result table
Sl.
no.
Component Type of stress Result
Obtained
Material
1 Skin Von mises (N/mm2
) 19.5
PU-FoamMaximum Principle stress (N/mm2
) 18.7
Maximum shear stress (N/mm2
) 9.98
Displacement(mm) 56.7
2 Ribs Von mises (N/mm2
) 19.5
PU-FoamMaximum Principle stress (N/mm2
) 18.7
Maximum shear stress (N/mm2
) 9.98
Displacement(mm) 11.2
3 Nose spar Von mises (N/mm2
) 1.38
AluminiumMaximum Principle stress (N/mm2
) 1.56
Maximum shear stress (N/mm2
) 0.781
Displacement(mm) 0.00947
4 Front spar Von mises (N/mm2
) 10.8
AluminiumMaximum Principle stress (N/mm2
) 10.2
Maximum shear stress (N/mm2
) 5.74
Displacement(mm) 0.041
Table FEA result table
FEA results for skin (pu-foam material)
Design and Analysis of Solar Powered RC …
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Fig FEA results for skin
FEA results for ribs (pu-foam material)
Fig FEA results for ribs
VII.CONCLUSION
 Design of the aircraft which includes aerodynamic forces (lift is 2.5 and thrust 16m/s) are calculated and
Cl/Cd, Cl/AOA, Cd/AOA and Cm/AOA graphs are also plotted using Xflr software by considering the
GOE 611 airfoil for main wing and NACA 0010 airfoil for tail.
 Designed model from the Xflr software has designed in 3D model using Catia v5 software by considering
the ribs and spar structure of wing which includes front and nose spar with 10 numbers of ribs.
 Analysis of the main wing has been carried out using Nastran and Patran software where von mises
stress, maximum principal stress, maximum shear stress and deflection of the spars, skin and ribs of the
main wing are calculated by considering skin and ribs are PU foam materials and the spars are
Aluminium materials.
 The von mises stress and the Reserve factor of the skin are 19.5 N/mm2
and 1.061538, ribs are 19.5
N/mm2
and 1.061538, nose spar are 1.38 N/mm2
and 347.8261 and for front spar are 10.8 N/mm2
and
44.4444.
 The maximum principal stress and Reserve factor of skin are 18.7 N/mm2
and 1.106952, ribs are 18.7
N/mm2
and 1.106952, nose spar are 1.56 N/mm2
and 307.6923 and front spar are 10.2 N/mm2
and
47.05882.
Design and Analysis of Solar Powered RC …
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 The maximum shear stress and Reserve factor of skin are 9.98 N/mm2
and 1.24448, ribs are 9.98 N/mm2
and 1.24448, nose spar are 0.781 N/mm2
and 614.5967 and front spar are 5.74 is N/mm2
and 83.6236.
 The maximum displacement of skin, ribs, nose spar and front spar 56.7 mm, 11.2 mm, 0.00947 mm and
0.041 mm respectively.
The analysis results show that the material is withstanding the applied loads and has deformed under the limits.
Hence structure is found to be stiff and safe under the given operating conditions the results are well within the
airworthiness standards.
REFERENCES
[1][1] D. P. Raymer, "Flying machine Design : A Conceptual Approach"published by American Institute of Aeronautics and
Astronautics,Inc. 370 L'Enfant Promenade, S.W., Washington, D.C. 20024.
[2] Aircraft Design and Performance, by Anderson.
[3] “Computational Approaches for Aerospace Design The Pursuit of Excellence” ,by A. J. Keane, Prasanth B.N
[4] D. Howe, “Aircraft Loading and Structural Layout”.
[5] “Airframe Structural Design Practical design Information And data On Aircraft Structures,” by Michael Chun-Yung Niu for
Lockheed Aeronautical Systems Company, Burbank, California. .
[6] “Projects for Aircraft Design” by L.R. Jenkinson James, F Marchman III
[7] “Design of Civil Jet” by L. R. Jenkinson, P Simpkin, D Rhodes
[8] Flightglobal Archive . "UK„s first solar aircraft takes off"
[9] AIAA/SAE/ASME 20th Joint Propulsion Conference. "AIAA paper 84-1429"
[10] Solar Challenger. "Solar Challenger"
[11] “Calculating method of wing characteristics from lifting line theory”, by J C. Sivells and Robert H. N in April 1947, NACA
Technical Note 1269.
[12] " Prediction vs. Results ", by A Deperrois Presentation document, July 2008
http://xflr5.sourceforge.net/docs/Results_vs_Prediction.pdf
[13] Mueller, T.J., Low Reynolds Number Vehicles, AGARDograph No. 288.
[14] "Transonic Low-Reynolds Number Airfoils," by Drela, M.
[15] "The Quest of High Lift," by Wortmann, F.X.
[16] " Design of High-Lift at Low Re Number Airfoil", by Selig, M.S. and Gugli J.J.
[17] "Flight Testing of Navy Low Reynolds Number” by Foch, J.R. and Toot, P.L.
[18] Solar Flight History, by RJ Boucher AIAA Paper 84-1429
[19] Airfoil Data and Design, by Eppler, R Springer-Verlag, New York.

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Design and Analysis of Solar Powered RC Aircraft

  • 1. The International Journal Of Engineering And Science (IJES) || Volume || 4 || Issue || 12 || Pages || PP -29-41|| 2015 || ISSN (e): 2319 – 1813 ISSN (p): 2319 – 1805 www.theijes.com The IJES Page 29 Design and Analysis of Solar Powered RC Aircraft 1 RAKESH C., 2 SUNIL KUMAR N. [1] Assistant Professor, Department of Mechanical Engineering New Horizon College of Engineering, [2] PG Scholar, Department of Mechanical Engineering, New Horizon College of Engineering --------------------------------------------------------ABSTRACT----------------------------------------------------------- The main objective of this project is to design and analyze aerodynamic as well as structural loads of the remote controlled aircraft which uses solar energy emerged by the sun as a fuel. Designing of a solar powered aircraft is a challenging task. Because using solar panels to generate enough energy to fly an aircraft is very difficult. The generation of energy depends on the operating geographical area, weather and number of panels used on the aircraft. The wing span of the aircraft should be increased to mount the solar panels to produce more energy. This results in increasing weight and drag, which also increases number of ribs and length of spars. According to these conditions stiffness of the wing has to be increased to prevent from failure. Aluminium and Poly-urithene foams are used for ribs and spar structure. RC aircraft is designed by using Xflr software. 3D modeling is performed using Catia v5. This design is imported to Nastran Patran for analysis where linear analysis is carried out on wing structure. The distribution or variation of aerodynamic loads, maximum principle stress, shear stress and maximum deflection are tabulated after the analysis. Reserve factor values for the ribs, spars and skin of the wing are estimated. Stability and factor of safety are determined using the analysis as per the airworthiness standards. Keywords - Angle of attack, principal stress, shear stress, aerodynamic loads, reserve factor, factor of safety. -------------------------------------------------------------------------------------------------------------------------------------- Date of Submission: 06 November 2015 Date of Accepted: 15 December 2015 -------------------------------------------------------------------------------------------------------------------------------------- I. Introduction The success of a solar powered aircraft which can fly continuously was a great challenge a couple of years back, yet this phenomenal test has been able to be conceivable today. To be perfectly honest, discriminating advances have been recognized starting late in the spaces of versatile solar cells, high imperativeness thickness batteries, UAVs are generally used as a piece of military applications for affirmation, regular recognition, ocean observation and mine departure works out. Non-military applications are characteristic surveillance, rice paddy remote recognizing and sprinkling and also system upkeep. There has risen a late criticalness for the aerospace business to discover more practical answers for existing innovations. Blazing plane fuel is one of the numerous supporters to carbon dioxide emanations (among others). A majority of our exploration was devoted to assessing the capability of sun based power as an option force source. Through this examination - and in addition some introductory outline – it was chosen to enlarge a RC model aircraft to outfit solar powered in conjunction with its standard battery framework. The idea is very straightforward, furnished with the solar panels skinning its wing; it recovers vitality from sun keeping in mind the end goal to gives energy to the drive framework and controlling hardware, and then accuses battery of the excess of vitality. Amid in night, the main vitality accessible originates from battery, which releases gradually until the following morning when another cycle begins. Expansion to solar panels includes a dynamo which runs battery power. The impetus cycle begin by first supplying force from solar cells or photovoltaic cells to batteries. Batteries store the charges and supplies to the engine in turn engine runs and it will interface the propeller with a dynamo by certain instrument which thus produces force is put away in batteries. II. Methodology Aircraft designing is a process that extends of creating and /or sketching new flight on the paper. These process are classified in to three types and they are a. Conceptual. b. Preliminary. c. Detailed. The methodology provides conceptual design from which general requirements and size is estimated. These are carried by using preliminary determination of aerodynamics and weight to make a better final unit. The plan's
  • 2. Design and Analysis of Solar Powered RC … www.theijes.com The IJES Page 30 practicality to finish a given mission is set up however the subtle elements of the setup are not characterized. That will likewise consider just steady flight. Where it is planned to accomplish reconnaissance at small elevation or serve as height correspondence stage, sun powered flying machine fit for consistent flight needs to fly at steady elevation. Actually, the first get futile to ground observation at upper elevation and another will not cover an adequate territory at small altitude. For this situation, the vitality and mass parities are the beginning stage of the configuration. Truth be told, the vitality gathered amid the day by the sun powered boards must be adequate to control the engine, the on-load up gadgets furthermore gives power to battery which gives sufficient energy to fly in sunset to the following sunrise when another period begins. In like manner, the lift power needs to adjust precisely the plane weight so that the elevation is kept up. Tools used a. XFLR b. CATIA V5 R19 c. MSC Nastran / Patran III. Basic Designing Reqirements The designing of main wing and tails are the basic requirements of an aircraft. Weight, Lift and Thrust estimation When a wing/airfoil is moving in a fluid, the fluid will passes through the upper and lower surfaces. As a result fluid/air moves faster on upper surface than the lower surface. By the pressure differences between upper surface and lower surface Lift will be generated. For steady flight, Weight (W) = Lift (L) Drag (D) = Thrust (T) Thrust Generally need to estimate/fix the speed of an aircraft before estimating its weight. Thrust force is the force required for the plane to move forward. For real flight it should be greater than the Drag force. For this aircraft there is a fixed the speed, which is 16m/s. Mass & lift For a flight, it is possible that we can locate the mass of the flight and try to outline the plane with a specific end goal to increase enough lift or concentrate the lift that most likely assemble and try to coordinate the comparing weight. Considered the last, since it is simpler to make a plane lighter than to expand its lift. Making a plane lighter should be possible through uprooting a few bits of hardware or supplanting them by lighter ones (saving money on the battery for instance). Then again, attempting to build lift takes an awesome exertion, in light of the fact that it requires overhauling and assembling the whole wings. Lift can be calculated by this equation L = ½ Cl × v2 ×  × A where, L = Lift (Newton) cl = Coefficient of Lift = Density of air (kg / m3 ) A = Surface area of wing (m2 ) v = Velocity (m/s) Angle of attack (α) The angle between the relative winds with the wing. If the angle of attack rises, as the result lift will also increases but only up to a certain limit point until the airflow would be smooth over the wing separation and the generation of lift cannot be generate. At this time, the sudden dismiss of lift will result in the stalling of the flight, At which the weight of the aircraft no longer supported. Reynolds number Other than figuring out whether our wings produce enough lift, we should likewise know whether our wings really create lift by any means. To be specific, tenderly and laminar wind current over a wing will just begin at a sure speed. Moreover, when flying too quickly, the wind current will likewise turn out to be excessively unpredictable and turbulent. The velocity range, at which the wind stream will be smooth and laminar, can be evaluated utilizing a worth called the Reynolds number. Reynolds number is a worth given to the stream conditions around items. For any article the ideal Reynolds number contrasts, yet as a dependable guideline we can accept the Reynolds number should be between 5.0 × 104 and 2.0 × 105 for airplane wings. The Reynolds number can be computed through the accompanying equation.
  • 3. Design and Analysis of Solar Powered RC … www.theijes.com The IJES Page 31 Re = v × L × μ-1× ρ where, Re = Reynolds number ρ = Fluid density (kg/m3 ) v = Fluid or gas velocity (m/s) L = Length of fluid or gas travelled (m) μ = Dynamic viscosity (Pa× s) Consider the Reynolds number 2.2×105 And for steady flight, L=W So estimated that over all weight of our flight should be within 2.5 Kg There for, W= 2.5 kg L=W= 2.5 From literature survey, by thumb rule for RC aircraft wing loading, weight/wing area (W/S) is 6 kg/m2 Density of air is 1.225 kg/ m3 V = 16 m/s i.e, 2.5/S = 6 S = 0.41 m2 Cl = (2×L)/( × A × v2 Cl = (2×2.5×9.81)/(1.225×0.41×162 ) Cl = 0.4 Coefficient of lift for angle of attack (α) 30 to 40 , Cl 3 to 4 0 = 0.4 By the calculated values of the Cl, S and lift we designed the main wing of this aircraft. A. Airfoil and wing design for small, low-speed air vehicles A basic introduction to airfoil and wing aerodynamics is discussed below. It includes web-based programs for airfoil design and wing analysis. Wing design for small UAV's includes some new considerations, however, and this note is meant to highlight some of these. 1) Wing Section Design Typical wing design for large aircraft is often driven by transonic performance and cruise drag, but for small UAV's may be constrained by the rate of climb or endurance and are often drive by propeller systems that supply approximately fixed output of power rather than fixed thrust. By this changes the appropriate aerodynamic merit function for wings and airfoils. In particular, for maximum range with a given energy, we may wish to maximize L/D, but for a fixed power propulsion system, design for maximum climb rate or endurance requires maximizing Cl 3/2 / Cd. Of course, this does not mean that the airfoil Cl 3/2 / Cd should be maximized, since the drag of the fuselage and tails increases the optimal cl, while wing induced drag tends to lower the value. One needs to include these effects in selecting the best airfoil and design point(s). In any case, it is usual that the overall airplane performance requirements drive the section to operate at its highest practical lift coefficient. A second important consideration in small sized aircraft airfoil design deals with the relatively low Reynolds numbers. In addition to the usual difficulties with flow separation and higher skin friction coefficients, the lower Reynolds numbers makes it harder to achieve the high lift coefficients demanded by long endurance operation. This is compounded by the fact that low Reynolds numbers with higher skin friction increase the optimal design Cl. Some of the issues important in the design of these low Reynolds number sections are exaggerated when the design leads to insect-scale aerodynamics. The following paper on airfoil design at ultra-low Reynolds numbers contains some ideas relevant to model-airplane sized designs in addition to the "Micro" and "Nano" air vehicles discussed there. Kunz, P., Kroo, I., “Analysis, Design, and Testing of Airfoils for Use at Ultra-Low Reynolds Numbers”, In Fixed, Flapping and Rotary Wing Aerodynamics for Micro Aerial Vehicle Applications, T. Meuller, ed., AIAA. 2) Wing Design Again, many of the considerations related to lift and Cl distributions for large aircraft wing design are relevant here. The basic trade between aerodynamics and structures affects the choice of wing aspect ratio however; the wing structural weight varies rather differently from large aircraft structures, leading to different platforms. In addition, the fact that higher aspect ratio leads to lower Reynolds number and higher skin friction drag coefficient lead to lower optimal aspect ratios. The optimal aspect ratio can be quite small at very low Reynolds numbers, even when structural effects are excluded. Finally, the fact that many of these designs operate near
  • 4. Design and Analysis of Solar Powered RC … www.theijes.com The IJES Page 32 maximum Cl, means that it is especially important to assure acceptable stalling characteristics. This often leads to larger tip chords than would be selected otherwise. The deleterious effect of lower Re on section maximum Cl also pushes these designs to larger tip chords (higher taper ratios) than would be optimal for large aircraft. Airfoil selection Geometry of an Airfoil can be characterized by the coordinates of the upper and lower surface. It is then explained by a few parameters like, maximum thickness of airfoil, maximum camber of airfoil, position of max thickness in an airfoil, position of max camber in an airfoil, and the radius of nose. So anyone can generate an airfoil section by the given parameters as above. It‟s done by Eastman Jacobs in the early of 1930's to make a series of airfoils called the NACA Sections. Nomenclature of an Airfoil: Fig nomenclature of Airfoil a) c, is the chord length which is the length from the LE to the TE of a wing cross section which is parallel to the vertical axis of symmetry of the airfoil. b) Mean camber line. which line is half between the upper surface and lower surfaces - leading edge (LE) is the front point on the mean camber line, trailing edge (TE) is the back point on mean camber line of the airfoil. c) Camber is the maximum distance between the mean camber line and the chord line, when measured perpendicular to the chord line of the airfoil. - 0 camber or un cambered refers the airfoil is symmetric above and below the chord line. d) Thickness is the distance between upper and lower surface when measured perpendicular to the mean camber line of the airfoil. Types of airfoil The NACA 4 digit and 5 digit airfoils were created by superimposing a simple mean line shape with a thickness distribution that was obtained by fitting a couple of popular airfoils of the time +- y = (t/0.2)×(0.2969 × x0.5 – 0.126 × x – 0.3537 × x2 + 0.2843 × x3 – 0.1015 × x4 ) The camber line of 4-digit sections was defined as a parabola from the leading edge to the position of maximum camber, then another parabola back to the trailing edge. Fig NACA 4-digit series
  • 5. Design and Analysis of Solar Powered RC … www.theijes.com The IJES Page 33 Main Wing details For low speed aircraft generally flat bottom airfoils are used. Because flat bottom airfoil provides low drag with high lift and if the power fails then it helps to glide the aircraft for some times in air. This helps the low speed aircraft to safe land. Comparison of airfoils for main wing Compared these airfoils with each other. Comparison was based on angle of attack, Cl/Cd, Cl/α, Cd/α and Cm/α. So by the smooth curve got from the graph so finalized GOE 611 airfoil 1) CLARCK-Y AIRFOIL 2) GOE 446 AIRFOIL 3) GOE 528 AIRFOIL 4) GOE 412 AIRFOIL 5) USA 27 mod. AIRFOIL Selected GOE 611 airfoil because of the reason it is most commonly used in gliders and which is easy to fabricate by hand. Fig airfoil of main wing Fig a: graph comparison
  • 6. Design and Analysis of Solar Powered RC … www.theijes.com The IJES Page 34 Fig b: graph comparison The point in airfoil where the lift can be supposed to be concentrated upon is called the center of pressure.  Commonly it is located at c/4 of the airfoil (where c is the chord length).  The point at which the weight of the aircraft acts is termed as center of gravity (CG).  The CG must coincide with the center of pressure for weight balance in the aircraft.  To locate CG to c/4, at the nose can add some weight (like paper clips, small coins). Tail plane details Tail plane is an aerodynamic surface used to stabilize and control the longitudinal (pitching) and/or directional (yawing) moment of an aircraft. For the tail plane, we have two stabilizers. One is horizontal stabilizer where elevator is mounted (for pitching moment) and the other is vertical stabilizer where the rudder (for yawing moment) is mounted. Some of the thumb rules considered for tail plane are  wing span of horizontal tail will be 1/4th of the span the main wing  wing span of the vertical tail will be 1/2th of the horizontal tail  area of the horizontal tail will be equal to 15 to 20% of the main wing area  horizontal stabilizer should be mount at the distance of (2 to 3) times of length of the main wing chord Airfoil selection for tail (both horizontal and vertical stabilizer) Compared these airfoils with each other. Comparison was based on angle of attack, Cl/Cd, Cl/α, Cd/α and Cm/α. So by the smooth curve got from the graph so finalized NACA 0010 airfoil. 1)NACA 0010-34 2)NACA 0010-35 3)NACA 0010-64 4)NACA 0012 5)NACA0015 4 digit NACA airfoil i.e., NACA 0010, where camber is 0 and to chord length proportion is 10% thickness. NACA airfoils are outer figure/sketch for wing of airplane. National Advisory Committee for Aeronautics (NACA). Fig 4.5.1: airfoil of tail
  • 7. Design and Analysis of Solar Powered RC … www.theijes.com The IJES Page 35 Fig a: graph comparison Fig b: graph comparison Tail volume coefficient Tail volume coefficient = area of the wing/ area of the tail, have the value 0.7 (generally) i.e., v= (Lt × St) / (Sw × Cw) where, Lt is the distance from AC of wing to CG of the tail St is the area of tail Sw is the area of wing Cw is the wing chord length XFLR Model of Aircraft Analysis. Fig XFLR model of Aircraft Analysis
  • 8. Design and Analysis of Solar Powered RC … www.theijes.com The IJES Page 36 The above figure shows the designing and specification of our solar powered rc aircraft. SPECIFICATIONS WING HORIZONTAL TAIL VERTICAL TAIL Wing span 1900 mm 420 mm 400 mm Root chord 240 mm 210 mm 180 mm Tip chord 160 mm 110 mm 100 mm Area 0.38 m2 0.06 m2 0.03 m2 Mean aero chord 202 mm 136.54 143.81 Aspect ratio 9.50 3.11 2.86 Root to tip sweep 2.410 7.460 5.710 Table Specifications of wing and tail Design specification for the Solar powered RC Aircraft Parameter used Value Wing Span 1900 mm Root Chord length 240 mm Airfoil type GOE611 Mass of the structure 0.5 kg Wing Load 13.15kg/m3 Table Design specifications Catia Model of XFLR Design Fig Catia model of XFLR design Above figure shows the front, top, side and isometric view of the solar powered aircraft Fig 5.3.6.1: Isometric model
  • 9. Design and Analysis of Solar Powered RC … www.theijes.com The IJES Page 37 IV. STRESS ANALYSIS Importing the 3d Model of the wing The 3d model of the wing which was designed in Catia is imported to Nastran and Patran for the Stress Analysis. Fig Imported model isometric view Discretization of the Structure The next step in the finite element method is to divide the structure region into subdivisions or elements. Hence, the structure is to be modeled with suitable finite elements. The number, type, size, and arrangement of the elements are to be decided. Next is verification of mesh elements. First verified for element boundary, duplicate elements, normal‟s and geometry fit meshing Quad element is checked for error. Errors in quad element are  Aspect ratio  Warp  Taper  Skew If there is any error rectify the errors by processing modifying mesh. Finite Element Modeling Sl.no Element Type Number of elements 1 Bar 242 2 Quad 3039 3 Tria 96 Table Type of Elements Used Fig Finite Element Model Material Properties Selection of aircraft materials depends on many considerations, in general can be categorized as cost and structural performance. Cost includes initial material cost, manufacturing cost and maintenance cost. The key material properties that are important to maintenance cost and structural performance are  Density (weight)  Stiffness (young‟s modulus)  Strength (ultimate and yield strengths)  Durability (fatigue)  Damage tolerance (fracture toughness and crack growth)  Corrosion
  • 10. Design and Analysis of Solar Powered RC … www.theijes.com The IJES Page 38 Element Properties SL.NO Element Type Component Properties 1 1D Front spar Hollow Square (w=8,h=8,t=1) L-Section(w=8,h=8,t=1) Nose spar W=12;H=12: Material: Aluminium 2 2D Ribs t = 13 3 2D Skin t = 3 Table Finite Element Model Properties Where, w- Width; h-Height; t-thickness (all in mm) Applying LOADS and BOUNDARY CONDITIONS Fig Boundary Conditions V. ANALYSIS After the application of Loads and Boundary conditions, with all the inputs of material selection and definition of properties, the FE model of the component is ready to undergo the analysis procedures. The type of analysis chosen here is a Linear static analysis with solution sequence code SOL101, the BDF (Bulk data file) is created, it contains information about elements grid or node spc and material properties load and boundary conditions, and BDF is the input file for the Solver (Msc.Nastran). The bdf of composite fuselage is shown below. From the linear static stress analysis, from the Nastran &Patran software, the Von mises stress, Maximum principal stress, Minimum Principal Stress, Maximum Shear Stress and the displacement results are obtained and those results are quick plotted in Patran and simulated for better understanding of the behavior of the structure for the loads applied. VI. RESULTS Reserve Factor The result validation is done based on material ultimate strength with R.F (Reserve Factor) table. R.F= ultimate strength/obtained stress Note:  If R.F value is less than 1 means component fails.  If R.F value is greater than 1 to 1.5 means component is safe.  If R.F value is greater than 1.5 means component is too safe. Calculations Maximum take of wieght = 3.5 kg× 9.81 = 34.335 N Limit load = take of wieght × lift Load factor at max “G” condition (lift load) = 1.5 G 34.335× 1.5 = 51.5025 N Design load = limit load × factor of safety Factor of safety = 1.5 51.5025× 1.5 = 77.2537
  • 11. Design and Analysis of Solar Powered RC … www.theijes.com The IJES Page 39 Load of semi span = design load/ 2 77.2537/ 2 = 38.627 Pressure load on wing = load on semi wing span / wing area 38.627 /1500 = 0.0257 N/mm2 Reserve factor table Sl No. Component Types of stress Result obtained Units Ultimate tensile strength of material Reserve factor 1 Skin Von mises 19.5 N/mm2 20.7 1.061538 Max Principal 18.7 N/mm2 20.7 1.106952 Max Shear Stress 9.98 N/mm2 12.42 1.244489 2 Ribs Von mises 19.5 N/mm2 20.7 1.061538 Max Principal 18.7 N/mm2 20.7 1.106952 Max Shear Stress 9.98 N/mm2 12.42 1.244489 3 Nose Spar Von mises 1.38 N/mm2 480 347.8261 Max Principal 1.56 N/mm2 480 3076923 Max Shear Stress 0.784 N/mm2 480 614.5967 4 Front Spar Von mises 10.8 N/mm2 480 44.44444 Max Principal 10.2 N/mm2 480 47.05882 Max Shear Stress 5.74 N/mm2 480 83.62369 Table Reserve factor table FEA result table Sl. no. Component Type of stress Result Obtained Material 1 Skin Von mises (N/mm2 ) 19.5 PU-FoamMaximum Principle stress (N/mm2 ) 18.7 Maximum shear stress (N/mm2 ) 9.98 Displacement(mm) 56.7 2 Ribs Von mises (N/mm2 ) 19.5 PU-FoamMaximum Principle stress (N/mm2 ) 18.7 Maximum shear stress (N/mm2 ) 9.98 Displacement(mm) 11.2 3 Nose spar Von mises (N/mm2 ) 1.38 AluminiumMaximum Principle stress (N/mm2 ) 1.56 Maximum shear stress (N/mm2 ) 0.781 Displacement(mm) 0.00947 4 Front spar Von mises (N/mm2 ) 10.8 AluminiumMaximum Principle stress (N/mm2 ) 10.2 Maximum shear stress (N/mm2 ) 5.74 Displacement(mm) 0.041 Table FEA result table FEA results for skin (pu-foam material)
  • 12. Design and Analysis of Solar Powered RC … www.theijes.com The IJES Page 40 Fig FEA results for skin FEA results for ribs (pu-foam material) Fig FEA results for ribs VII.CONCLUSION  Design of the aircraft which includes aerodynamic forces (lift is 2.5 and thrust 16m/s) are calculated and Cl/Cd, Cl/AOA, Cd/AOA and Cm/AOA graphs are also plotted using Xflr software by considering the GOE 611 airfoil for main wing and NACA 0010 airfoil for tail.  Designed model from the Xflr software has designed in 3D model using Catia v5 software by considering the ribs and spar structure of wing which includes front and nose spar with 10 numbers of ribs.  Analysis of the main wing has been carried out using Nastran and Patran software where von mises stress, maximum principal stress, maximum shear stress and deflection of the spars, skin and ribs of the main wing are calculated by considering skin and ribs are PU foam materials and the spars are Aluminium materials.  The von mises stress and the Reserve factor of the skin are 19.5 N/mm2 and 1.061538, ribs are 19.5 N/mm2 and 1.061538, nose spar are 1.38 N/mm2 and 347.8261 and for front spar are 10.8 N/mm2 and 44.4444.  The maximum principal stress and Reserve factor of skin are 18.7 N/mm2 and 1.106952, ribs are 18.7 N/mm2 and 1.106952, nose spar are 1.56 N/mm2 and 307.6923 and front spar are 10.2 N/mm2 and 47.05882.
  • 13. Design and Analysis of Solar Powered RC … www.theijes.com The IJES Page 41  The maximum shear stress and Reserve factor of skin are 9.98 N/mm2 and 1.24448, ribs are 9.98 N/mm2 and 1.24448, nose spar are 0.781 N/mm2 and 614.5967 and front spar are 5.74 is N/mm2 and 83.6236.  The maximum displacement of skin, ribs, nose spar and front spar 56.7 mm, 11.2 mm, 0.00947 mm and 0.041 mm respectively. The analysis results show that the material is withstanding the applied loads and has deformed under the limits. Hence structure is found to be stiff and safe under the given operating conditions the results are well within the airworthiness standards. REFERENCES [1][1] D. P. Raymer, "Flying machine Design : A Conceptual Approach"published by American Institute of Aeronautics and Astronautics,Inc. 370 L'Enfant Promenade, S.W., Washington, D.C. 20024. [2] Aircraft Design and Performance, by Anderson. [3] “Computational Approaches for Aerospace Design The Pursuit of Excellence” ,by A. J. Keane, Prasanth B.N [4] D. Howe, “Aircraft Loading and Structural Layout”. [5] “Airframe Structural Design Practical design Information And data On Aircraft Structures,” by Michael Chun-Yung Niu for Lockheed Aeronautical Systems Company, Burbank, California. . [6] “Projects for Aircraft Design” by L.R. Jenkinson James, F Marchman III [7] “Design of Civil Jet” by L. R. Jenkinson, P Simpkin, D Rhodes [8] Flightglobal Archive . "UK„s first solar aircraft takes off" [9] AIAA/SAE/ASME 20th Joint Propulsion Conference. "AIAA paper 84-1429" [10] Solar Challenger. "Solar Challenger" [11] “Calculating method of wing characteristics from lifting line theory”, by J C. Sivells and Robert H. N in April 1947, NACA Technical Note 1269. [12] " Prediction vs. Results ", by A Deperrois Presentation document, July 2008 http://xflr5.sourceforge.net/docs/Results_vs_Prediction.pdf [13] Mueller, T.J., Low Reynolds Number Vehicles, AGARDograph No. 288. [14] "Transonic Low-Reynolds Number Airfoils," by Drela, M. [15] "The Quest of High Lift," by Wortmann, F.X. [16] " Design of High-Lift at Low Re Number Airfoil", by Selig, M.S. and Gugli J.J. [17] "Flight Testing of Navy Low Reynolds Number” by Foch, J.R. and Toot, P.L. [18] Solar Flight History, by RJ Boucher AIAA Paper 84-1429 [19] Airfoil Data and Design, by Eppler, R Springer-Verlag, New York.