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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 3638
Optimal Design and Analysis of a Stringer-Stiffened Composite Payload
Adapter
Pavithra V.1, Balamurali A. G.2, Dr. Gangadhar Ramtekkar3
1M Tech. Structural Engineering, NIT Raipur
2Scientist/Engr. S’G’, SMD, VSSC, ISRO
3Professor, Dept. of Civil Engineering, NIT Raipur
---------------------------------------------------------------------***---------------------------------------------------------------------
Abstract – Composite materials which have proved their
importance in weight sensitive applications like aerospace
structures can exhibit their efficiencyonlywhenappropriately
distributed in shape and material orientation. Thus, an
optimal design involves obtaining the best possible shape,
dimensions, and material orientation which satisfies a set of
design constraints which is attained by maximizing or
minimizing an objective function. In this paper, the
optimization is performed by an iterative technique of mass
minimization. A payload adapter is basically an interface
between the payload and the launch vehicle. The reduction of
mass of a payload adapter allows subsequent increase in the
mass of the payload as the sensitivity is 1:1. Here, the optimal
design with minimum mass is arrived at, which at the same
time should be able to meet the stiffness and strength
requirements during the entire journey of the flight. The
design of a Stringer-stiffened composite payload adapter and
its comparison with the Monocoquestructureis coveredinthis
paper. Static strength, stiffness and buckling resistance of the
structure is ensured in the design. The amount of weight
savings achieved by designing these structures using
laminated composites compared to the metallic version is
reported. The finite element modelingand design isperformed
in MSC. NASTRAN.
Key Words: Composite, Laminate, Payload Adapter,
Monocoque, Stringer-stiffened
1. INTRODUCTION
In spaceflight, a launch vehicle performs the task of
transferring the payload or the satellite in to the earth’s
orbit. A payload adapter (PLA) is a structure which connects
the payload to the launch vehicle body[1]. As there is a
strong need in reducing the weight of the structural parts of
a launch vehicle, composites are widely used in this
application. For aerospace applications,designforminimum
weight/mass is formulated primarily to reach the best
structural performance rather than to save the material [2].
Reduction of structural mass is important in many ways – it
helps to increase payload mass and thus reduce the launch
cost [3]. Carbon-epoxy composite materials have been used
extensively in upper stage structures of launch vehicles in
order to improve the payload capability [4]. Although CFRP
is superior to metals or other isotropic materials in specific
strength and modulus, this advantage is only in the fiber
direction [5]. There comes the relevance of an optimal
design. An exploded view of the upper stage of the launch
vehicle showing the PLA is shown in fig. 1.
1.1 Monocoque Structure
A Monocoque structure is basically a thin-walled shell
structurein which theloadistransferreddirectlythroughthe
external skin. It doesn’t have any stringers to stiffen the
structure. Here, the structure is designed by iteratively
changing the thickness and the orientation of the skin to
arrive at the minimum thickness of the shellrequiredtomeet
the design constraints. The structure has an advantage of
ease of manufacturing compared to the other stiffened
constructions.
Here, two types of Monocoque constructions are
compared- first one made with Aluminium skin and second
one made with laminated composites, both satisfying the
same design constraints.
1.2 Stringer-Stiffened Structure
The Stringer-stiffened structure consists of a thin face
sheet stiffened by uniformly and closely spaced ribs called
stringers. The stringers are closely attached to the skin so
that they act as a single unit (fig. 2). Here, the stingers are
provided with hat section.
In the metallic version, both the stringers and the face
sheet are made of Aluminium. In the composite version of
the structure, both the stringers and the face sheet are made
of M55J/M18 CFRP laminates. The optimum design in both
the cases are found out.
2. CONFIGURATION OF THE PLA
As the PLA is a structure which connects the payload and the
launch vehicle having different diameters, it is intheshapeof
a truncated cone having fore end diameter 937 mm and aft
end diameter 1400 mm. The height of the structure is 1000
mm. The configuration of the PLA is shown in fig. 3. It has
metallic rings at both the ends, riveted and bonded to the
cone to form the interface attachment rings. The fore end of
the PLA joins with the satelliteandtheaftendflangeprovides
interface with the launch vehicle core.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 3639
Fig - 1: Exploded view of Upper stage of Launch Vehicle
showing PLA
Fig - 2: Skin-Stringer Assembly
Fig - 3: Configuration of PLA
3. DESIGN CONSIDERATIONS
Any structure is designed to withstand the loads acting on
them during the entire period of their life. Here, a factor of
safety of 1.25 is provided as in all aerospace designs. The
design loads acting on the structure are given in table 1. The
satellite details are given in table 2. The structureischecked
for axial stiffness, static strength and also buckling
resistance.
The lateral and axial frequency of the structure with the
satellite mass and inertia simulated and all the degrees of
freedom at the aft end arrested shall not be less than 15 Hz
and 30 Hz respectively. This criterion shall be met to avoid
dynamic coupling. The stresses generated in the structure
should be within the yield strength valueofthematerial.The
buckling load factor of the structure with a knock down
factor of 0.6 and design factor of safety of 1.25 applied
should be greater than 1. A structure which satisfies all the
above conditions and having a mass less than 25 kg is taken
as the optimum one.
Table 1: Loads acting on the PLA
Mass of the payload (Satellite) 3500 kg
Axial load 300.43 kN
Lateral load 128.76 kN
Equivalent axial load 1255.3 kN
Bending Moment 327.04 kN m
Table 2: Satellite Mass and Inertia
Mass of the satellite 3500 kg
Height of satellite C.G. above its base 1.5 m
Moment of inertia about axial axis 1500 kg-m2
Moment of inertia about lateral axis 3000 kg-m2
4. FINITE ELEMENT MODELLING
The finite element modeling was done in MSC. PATRAN. The
Monocoque configuration was modeled using the 2-D shell
elements of PATRAN. In the stringer stiffened structure, the
skin was modeled using 2-D shell elements and the stringer
was modeled using 1-D beam elements. The discretized
model of a Monocoque PLA with rigid link attached on the
top is shown in fig. 4. The finite element model of a stringer-
stiffened PLA is shown in fig. 5.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 3640
Fig - 4: Finite Element Model of a Monocoque Structured
PLA with Rigid link mounted on the top
Fig - 5: Finite Element Model of a Stringer-Stiffened PLA
Fig - 6: Cross-sectional Details of the Stringer
5. DESIGN AND ANALYSIS
The design approach used here is design through analysis.
The two configurations studied here are Monocoque and
Stringer-stiffened. Static, free vibration and buckling
analyses are carried out for both these structures. In the
static analysis, the aft end nodes of the PLA are fixed and the
design loads as given in table 1 are applied at the C.G. of the
satellite which is transferred to the fore endnodesbyusinga
rigid link. In the free vibration analysis also, the aft end
nodes are fixed and fore end nodes mounted with a rigid
link. In the buckling analysis, equivalent axial load is
uniformly applied on the fore end nodes whereas the aftend
nodes are fully fixed.
1.1 Monocoque Structure
In the metallic version of Monocoque configuration, the
thickness of the Aluminium skin is iteratively increasedfrom
1 mm till that minimum thickness which satisfies all the
design constraints. Thus, the optimum thickness of
Aluminium sheet required was found to be 6 mm. The mass
of the structure was found to be 62.35 kg.
In the case of laminated Monocoque, the number as well
as the orientation of the M55j/M18 prepeg laminates was
changed iteratively to obtain the optimumdesign.Thedesign
consist of 45laminatelayersinthefollowingorientationwith
respect to the axis of the PLA - 0/0/90/90/0/90/0/-90/
0/45/0/-45/0/90/0/-90/0/-45/45/0/90/0/45/0/90/0/45
/-45/0/-90/0/90/0/-45/0/45/0/-90/0/90/0/90/90/0/0.
The mass of the structure was found to be 30.31 kg. The
contour plots of Monocoque structure under buckling and
free vibration analysis are given in fig. 7 to 10.
1.2 Stringer-Stiffened Structure
In the Stringer-stiffened structure constructed with
Aluminium sheet, the thickness of the face sheet as well as
the number of the stringers is varied to find the optimum
design. The cross-section of the stringers used are given in
fig. 6. The optimum number of stringers was found to be 48.
and the thickness of the face sheet is 4 mm.In the laminated
design, the thickness as well as the orientation of the
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 3641
laminate layers of the face sheet and the stringers were
varied iteratively to obtaintheoptimumdesign. Thenumber
of stringers were also varied.
The optimum number of stringersinthelaminateddesign
of stringer stiffened structureisobtainedas64.Theoptimum
thickness of the face sheet is obtained as 1.5 mm. The layup
sequence of the face sheet with respect totheaxisoftheshell
is-0/-60/0/-90/-90/90/60/0/60/90/-90/-90/0/-60/0and
the layup sequence of the stringer with respect to the axis of
the shell is - 0/-45/0/45/0/90/90/0 /45/0/-45/0. The
contour plots of Stringer-stiffened structure under buckling
and free vibration analysis are given in fig. 11 to 14.
Table 3: Results of Free Vibration and Buckling Analysis
of Monocoque Structure made of Aluminium skin
Table 4: Results of Free Vibration and Buckling Analysis
for Monocoque Structure with Laminated skin
Mode Natural
Frequency
Buckling Load
Factor
1 22.62 1.00
2 22.62 1.00
3 36.81 1.15
4 69.43 1.15
5 69.43 1.46
6 123.04 1.46
7 278.70 1.77
8 278.70 1.77
9 291.26 1.78
10 291.26 1.78
Mass of PLA 30.31 kg
Table 5: Results of Free Vibration and Buckling Analysis
of Stringer-Stiffened Structure made of Aluminium skin
Mode Natural
Frequency
Buckling Load
Factor
1 16.77 1.03
2 16.77 1.03
3 43.09 1.35
4 79.08 1.35
5 79.08 1.47
6 93.11 1.47
7 292.59 1.85
8 292.59 1.85
9 293.34 2.37
10 293.34 2.37
Mass of PLA 55.10 kg
Table 6: Results of Free Vibration and Buckling Analysis
of Stringer-Stiffened Structure made of Laminated
Composite
Mode Natural
Frequency
Buckling Load
Factor
1 16.88 1.08
2 16.88 1.08
3 21.77 1.10
4 42.36 1.10
5 42.36 1.19
6 97.73 1.19
7 393.20 1.19
8 393.20 1.19
9 393.26 1.19
10 393.26 1.19
Mass of PLA 21.79 kg
Fig - 7: First Buckling Mode of Monocoque Structure
made of Aluminium skin
Mode Natural
Frequency
Buckling Load
Factor
1 18.15 1.04
2 18.15 1.04
3 52.54 1.27
4 95.40 1.27
5 95.40 1.64
6 98.48 1.64
7 245.80 1.73
8 245.80 1.73
9 257.38 2.08
10 257.38 2.08
Mass of PLA 62.35 kg
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 3642
Fig - 8: Lateral Mode of Monocoque Structure made of
Aluminium skin under Free Vibration
Fig - 9: Torsional Mode of Monocoque Structure with
Laminate skin under Free Vibration
Fig - 10: Axial Mode of Monocoque Structure with
Laminate skin under Free Vibration
Fig - 11: First Buckling Mode of Stringer-Stiffened
Structure made of Aluminium skin
Fig - 12: Lateral Mode of Stringer-Stiffened Structure
made of Aluminium skin under Free Vibration
Fig - 13: Axial Mode of Stringer-Stiffened Structure with
laminate skin under Free Vibration
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 3643
Fig - 14: Shell Mode of Stringer-Stiffened Structure with
Laminate skin under Free Vibration
6. RESULT
The optimized structure in both the configurations were
found out. The results of free vibration and buckling analysis
of the optimum structures are shown in table 3 to 6. The
stresses obtained in the structures were found to be within
the permissible limits. The mass of the optimum structures
were also found.
7. CONCLUSION AND DISCUSSION
It was found that in both the configurations, the use of
composite reduced the mass of the structure morethan 50%
compared to the metallic structure. The Stringer-stiffened
structure is found to be light-weight compared to the
Monocoque structure. It was found to save 28% mass
compared to the Monocoque structure.
REFERENCES
[1] A.F. Razinand V. V. Vasiliev. Development of composite
anisogrid spacecraft attach fitting.
[2] Valery V. Vasiliev and Zafer Gurdal, “ Optimal design-
Theory and applications to materials and structures
[3] Devika Venu, Alice Mathai, Jayasree Ramanujan, “Finite
Element Analysis of Interface ring ofa RocketLauncher”
ISSN: 23198753. www.ijirset.com, 2013
[4] Nakumura T., “CFRP Application to Upper Stage
Structure of Japan’sLaunchVehicles”,Proceedingsofthe
Fourth Japan-USConferenceonCompositeMaterials,pp.
923-932, 1988
[5] Hosomura T., “New CFRP Structural Element”, Japan-US
Conference on CompositeMaterials,Tokyo,pp.447-452,
1981

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IRJET- Optimal Design and Analysis of a Stringer-Stiffened Composite Payload Adapter

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 3638 Optimal Design and Analysis of a Stringer-Stiffened Composite Payload Adapter Pavithra V.1, Balamurali A. G.2, Dr. Gangadhar Ramtekkar3 1M Tech. Structural Engineering, NIT Raipur 2Scientist/Engr. S’G’, SMD, VSSC, ISRO 3Professor, Dept. of Civil Engineering, NIT Raipur ---------------------------------------------------------------------***--------------------------------------------------------------------- Abstract – Composite materials which have proved their importance in weight sensitive applications like aerospace structures can exhibit their efficiencyonlywhenappropriately distributed in shape and material orientation. Thus, an optimal design involves obtaining the best possible shape, dimensions, and material orientation which satisfies a set of design constraints which is attained by maximizing or minimizing an objective function. In this paper, the optimization is performed by an iterative technique of mass minimization. A payload adapter is basically an interface between the payload and the launch vehicle. The reduction of mass of a payload adapter allows subsequent increase in the mass of the payload as the sensitivity is 1:1. Here, the optimal design with minimum mass is arrived at, which at the same time should be able to meet the stiffness and strength requirements during the entire journey of the flight. The design of a Stringer-stiffened composite payload adapter and its comparison with the Monocoquestructureis coveredinthis paper. Static strength, stiffness and buckling resistance of the structure is ensured in the design. The amount of weight savings achieved by designing these structures using laminated composites compared to the metallic version is reported. The finite element modelingand design isperformed in MSC. NASTRAN. Key Words: Composite, Laminate, Payload Adapter, Monocoque, Stringer-stiffened 1. INTRODUCTION In spaceflight, a launch vehicle performs the task of transferring the payload or the satellite in to the earth’s orbit. A payload adapter (PLA) is a structure which connects the payload to the launch vehicle body[1]. As there is a strong need in reducing the weight of the structural parts of a launch vehicle, composites are widely used in this application. For aerospace applications,designforminimum weight/mass is formulated primarily to reach the best structural performance rather than to save the material [2]. Reduction of structural mass is important in many ways – it helps to increase payload mass and thus reduce the launch cost [3]. Carbon-epoxy composite materials have been used extensively in upper stage structures of launch vehicles in order to improve the payload capability [4]. Although CFRP is superior to metals or other isotropic materials in specific strength and modulus, this advantage is only in the fiber direction [5]. There comes the relevance of an optimal design. An exploded view of the upper stage of the launch vehicle showing the PLA is shown in fig. 1. 1.1 Monocoque Structure A Monocoque structure is basically a thin-walled shell structurein which theloadistransferreddirectlythroughthe external skin. It doesn’t have any stringers to stiffen the structure. Here, the structure is designed by iteratively changing the thickness and the orientation of the skin to arrive at the minimum thickness of the shellrequiredtomeet the design constraints. The structure has an advantage of ease of manufacturing compared to the other stiffened constructions. Here, two types of Monocoque constructions are compared- first one made with Aluminium skin and second one made with laminated composites, both satisfying the same design constraints. 1.2 Stringer-Stiffened Structure The Stringer-stiffened structure consists of a thin face sheet stiffened by uniformly and closely spaced ribs called stringers. The stringers are closely attached to the skin so that they act as a single unit (fig. 2). Here, the stingers are provided with hat section. In the metallic version, both the stringers and the face sheet are made of Aluminium. In the composite version of the structure, both the stringers and the face sheet are made of M55J/M18 CFRP laminates. The optimum design in both the cases are found out. 2. CONFIGURATION OF THE PLA As the PLA is a structure which connects the payload and the launch vehicle having different diameters, it is intheshapeof a truncated cone having fore end diameter 937 mm and aft end diameter 1400 mm. The height of the structure is 1000 mm. The configuration of the PLA is shown in fig. 3. It has metallic rings at both the ends, riveted and bonded to the cone to form the interface attachment rings. The fore end of the PLA joins with the satelliteandtheaftendflangeprovides interface with the launch vehicle core.
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 3639 Fig - 1: Exploded view of Upper stage of Launch Vehicle showing PLA Fig - 2: Skin-Stringer Assembly Fig - 3: Configuration of PLA 3. DESIGN CONSIDERATIONS Any structure is designed to withstand the loads acting on them during the entire period of their life. Here, a factor of safety of 1.25 is provided as in all aerospace designs. The design loads acting on the structure are given in table 1. The satellite details are given in table 2. The structureischecked for axial stiffness, static strength and also buckling resistance. The lateral and axial frequency of the structure with the satellite mass and inertia simulated and all the degrees of freedom at the aft end arrested shall not be less than 15 Hz and 30 Hz respectively. This criterion shall be met to avoid dynamic coupling. The stresses generated in the structure should be within the yield strength valueofthematerial.The buckling load factor of the structure with a knock down factor of 0.6 and design factor of safety of 1.25 applied should be greater than 1. A structure which satisfies all the above conditions and having a mass less than 25 kg is taken as the optimum one. Table 1: Loads acting on the PLA Mass of the payload (Satellite) 3500 kg Axial load 300.43 kN Lateral load 128.76 kN Equivalent axial load 1255.3 kN Bending Moment 327.04 kN m Table 2: Satellite Mass and Inertia Mass of the satellite 3500 kg Height of satellite C.G. above its base 1.5 m Moment of inertia about axial axis 1500 kg-m2 Moment of inertia about lateral axis 3000 kg-m2 4. FINITE ELEMENT MODELLING The finite element modeling was done in MSC. PATRAN. The Monocoque configuration was modeled using the 2-D shell elements of PATRAN. In the stringer stiffened structure, the skin was modeled using 2-D shell elements and the stringer was modeled using 1-D beam elements. The discretized model of a Monocoque PLA with rigid link attached on the top is shown in fig. 4. The finite element model of a stringer- stiffened PLA is shown in fig. 5.
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 3640 Fig - 4: Finite Element Model of a Monocoque Structured PLA with Rigid link mounted on the top Fig - 5: Finite Element Model of a Stringer-Stiffened PLA Fig - 6: Cross-sectional Details of the Stringer 5. DESIGN AND ANALYSIS The design approach used here is design through analysis. The two configurations studied here are Monocoque and Stringer-stiffened. Static, free vibration and buckling analyses are carried out for both these structures. In the static analysis, the aft end nodes of the PLA are fixed and the design loads as given in table 1 are applied at the C.G. of the satellite which is transferred to the fore endnodesbyusinga rigid link. In the free vibration analysis also, the aft end nodes are fixed and fore end nodes mounted with a rigid link. In the buckling analysis, equivalent axial load is uniformly applied on the fore end nodes whereas the aftend nodes are fully fixed. 1.1 Monocoque Structure In the metallic version of Monocoque configuration, the thickness of the Aluminium skin is iteratively increasedfrom 1 mm till that minimum thickness which satisfies all the design constraints. Thus, the optimum thickness of Aluminium sheet required was found to be 6 mm. The mass of the structure was found to be 62.35 kg. In the case of laminated Monocoque, the number as well as the orientation of the M55j/M18 prepeg laminates was changed iteratively to obtain the optimumdesign.Thedesign consist of 45laminatelayersinthefollowingorientationwith respect to the axis of the PLA - 0/0/90/90/0/90/0/-90/ 0/45/0/-45/0/90/0/-90/0/-45/45/0/90/0/45/0/90/0/45 /-45/0/-90/0/90/0/-45/0/45/0/-90/0/90/0/90/90/0/0. The mass of the structure was found to be 30.31 kg. The contour plots of Monocoque structure under buckling and free vibration analysis are given in fig. 7 to 10. 1.2 Stringer-Stiffened Structure In the Stringer-stiffened structure constructed with Aluminium sheet, the thickness of the face sheet as well as the number of the stringers is varied to find the optimum design. The cross-section of the stringers used are given in fig. 6. The optimum number of stringers was found to be 48. and the thickness of the face sheet is 4 mm.In the laminated design, the thickness as well as the orientation of the
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 3641 laminate layers of the face sheet and the stringers were varied iteratively to obtaintheoptimumdesign. Thenumber of stringers were also varied. The optimum number of stringersinthelaminateddesign of stringer stiffened structureisobtainedas64.Theoptimum thickness of the face sheet is obtained as 1.5 mm. The layup sequence of the face sheet with respect totheaxisoftheshell is-0/-60/0/-90/-90/90/60/0/60/90/-90/-90/0/-60/0and the layup sequence of the stringer with respect to the axis of the shell is - 0/-45/0/45/0/90/90/0 /45/0/-45/0. The contour plots of Stringer-stiffened structure under buckling and free vibration analysis are given in fig. 11 to 14. Table 3: Results of Free Vibration and Buckling Analysis of Monocoque Structure made of Aluminium skin Table 4: Results of Free Vibration and Buckling Analysis for Monocoque Structure with Laminated skin Mode Natural Frequency Buckling Load Factor 1 22.62 1.00 2 22.62 1.00 3 36.81 1.15 4 69.43 1.15 5 69.43 1.46 6 123.04 1.46 7 278.70 1.77 8 278.70 1.77 9 291.26 1.78 10 291.26 1.78 Mass of PLA 30.31 kg Table 5: Results of Free Vibration and Buckling Analysis of Stringer-Stiffened Structure made of Aluminium skin Mode Natural Frequency Buckling Load Factor 1 16.77 1.03 2 16.77 1.03 3 43.09 1.35 4 79.08 1.35 5 79.08 1.47 6 93.11 1.47 7 292.59 1.85 8 292.59 1.85 9 293.34 2.37 10 293.34 2.37 Mass of PLA 55.10 kg Table 6: Results of Free Vibration and Buckling Analysis of Stringer-Stiffened Structure made of Laminated Composite Mode Natural Frequency Buckling Load Factor 1 16.88 1.08 2 16.88 1.08 3 21.77 1.10 4 42.36 1.10 5 42.36 1.19 6 97.73 1.19 7 393.20 1.19 8 393.20 1.19 9 393.26 1.19 10 393.26 1.19 Mass of PLA 21.79 kg Fig - 7: First Buckling Mode of Monocoque Structure made of Aluminium skin Mode Natural Frequency Buckling Load Factor 1 18.15 1.04 2 18.15 1.04 3 52.54 1.27 4 95.40 1.27 5 95.40 1.64 6 98.48 1.64 7 245.80 1.73 8 245.80 1.73 9 257.38 2.08 10 257.38 2.08 Mass of PLA 62.35 kg
  • 5. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 3642 Fig - 8: Lateral Mode of Monocoque Structure made of Aluminium skin under Free Vibration Fig - 9: Torsional Mode of Monocoque Structure with Laminate skin under Free Vibration Fig - 10: Axial Mode of Monocoque Structure with Laminate skin under Free Vibration Fig - 11: First Buckling Mode of Stringer-Stiffened Structure made of Aluminium skin Fig - 12: Lateral Mode of Stringer-Stiffened Structure made of Aluminium skin under Free Vibration Fig - 13: Axial Mode of Stringer-Stiffened Structure with laminate skin under Free Vibration
  • 6. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 3643 Fig - 14: Shell Mode of Stringer-Stiffened Structure with Laminate skin under Free Vibration 6. RESULT The optimized structure in both the configurations were found out. The results of free vibration and buckling analysis of the optimum structures are shown in table 3 to 6. The stresses obtained in the structures were found to be within the permissible limits. The mass of the optimum structures were also found. 7. CONCLUSION AND DISCUSSION It was found that in both the configurations, the use of composite reduced the mass of the structure morethan 50% compared to the metallic structure. The Stringer-stiffened structure is found to be light-weight compared to the Monocoque structure. It was found to save 28% mass compared to the Monocoque structure. REFERENCES [1] A.F. Razinand V. V. Vasiliev. Development of composite anisogrid spacecraft attach fitting. [2] Valery V. Vasiliev and Zafer Gurdal, “ Optimal design- Theory and applications to materials and structures [3] Devika Venu, Alice Mathai, Jayasree Ramanujan, “Finite Element Analysis of Interface ring ofa RocketLauncher” ISSN: 23198753. www.ijirset.com, 2013 [4] Nakumura T., “CFRP Application to Upper Stage Structure of Japan’sLaunchVehicles”,Proceedingsofthe Fourth Japan-USConferenceonCompositeMaterials,pp. 923-932, 1988 [5] Hosomura T., “New CFRP Structural Element”, Japan-US Conference on CompositeMaterials,Tokyo,pp.447-452, 1981