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Dr.Y.Seetharama Rao, B.Sridhar Reddy / International Journal of Engineering Research and
                 Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                  Vol. 2, Issue 5, September- October 2012, pp.1785-1787
   Modal Analysis Of Composite Propeller For Ships Application
                 Dr.Y.SEETHARAMA RAO*, B.SRIDHAR REDDY*
  *(Dept of Mechanical Engineering,G.V.P College Of Engineering,Visakhapatanam-48,Andhrapradesh,India)


ABSTRACT
        Present work proposes a modal analysis              calculations of the stresses resulting from these forces
to design a propeller with a metal and composite            is extremely difficult.
material to analyze its natural frequencies and
mode shapes using ANSYS software. In order to                        The modal analysis of propeller blade with
evaluate the effectiveness of composite over                aluminum and composite propeller is carried out in
metals, modal analysis is performed on both                 the present work. The objective of this work is to
composite and metal propellers using ANSYS.                 compare the natural frequencies of the composite and
Proposed method shows substantial improvements              metal propeller.
in composite propeller over the metal
propeller.From the results of modal analysis                2. LITERATURE REVIEW:
composite propeller is safe against resonance                         The application of composite materials
phenomenon. In this paper effort is made to                 technology to marine architecture has increased with
reduce frequency of the composite propeller so              particular benefits of its light weight, less noise and
that advantage of weight reduction can be                   pressure fluctuation and less fuel consumption[1].The
obtained. The comparison analysis of metallic and           finite element method is so popular and has been
composite propeller has been made for the natural           used by many researchers[2].The technology
frequencies.                                                advances and the costs of composites are becoming
                                                            cheaper[3].Moreover composites can offer the
Keywords:      Composite      Propeller,         Natural    potential benefits of reduced corrosion and cavitation
frequency, Modal analysis, FEA                              damage, improved fatigue performance, lower noise,
                                                            improved material damping properties and reduced
1. INTRODUCTION:                                            life time maintenance costs[4].Changes to the tensile
          Fibre reinforced plastic(FRP) is extensively      and flexure properties of marine-grade glass –
applied in various structures because of its light          reinforced polyster, vinylster and resole phenolic
weight, high strength and corrosion resistance. Bend-       composites after exposure to radiant heat are
twist coupling effect is another unique characteristic      investigated[5].When using the Genetic Algorithm
of composite material. Structures can be stiffened or       approach, some techniques for parameter setting to
deformed in a certain direction by arranging the            provide quick and correct results were discussed
orientation of the fibres.                                  along with the influence of these parameters[6].The
          Most marine propellers are made of metal          numerical results are in aggrement with experimental
material such as bronze or steel. The advantage of          data and the general characteristics of the propeller
replacing metal with an FRP composite is that the           flow seem to be quite well predicted[7].A strong
latter is lighter and corrosion resistant. Another          correlation was identified between the divergence
important advantage is the deformation of the               ship speed and the change in the tip pitch angle of the
composite propeller can be controlled to improve its        blades in brief communication static divergence of
performance. Propellers always rotate at constant           self twisting composite rotors. The methodology used
velocities that maximize the efficiency of the engine.      is equally applicable to other structures such as tidal
When the ship sails at designed speed, the inflow           and wind turbines[8].Taylor[9] considered a propeller
angle is close to its pitch angle. When the ship sails at   blade as a cantilever rigid at the boss. Chang
a lower speed, the inflow angle is smaller. Hence, the      Suplee[10] investigated the main sources of propeller
pressure on the propeller increases as the ship speed       blade failure and resolved the problems related to
decreases.                                                  blades symmetrically. G.H.M.Beek[11] examined the
          The propeller is an important component for       interference between the stress conditions in the
the safe operation of ship at sea. It is therefore          propeller blade and the hub. Gau Fenglin[12] carried
important to ensure that ship propeller must have           out stress calculations for fibre reinforced composite
adequate strength to with stand the forces that act         thrust blade.
upon them. The forces that act on propeller blade
arises from thrust, torque of the propeller and the         3. MODELING OF PROPELLER:
centrifugal forces on each blade caused by its                       Modeling of the propeller has been done by
revolution around the axis. Owing to somewhat               using CATIA V5R17. In order to model the blade, it
complex shape of propeller blades, the accurate             is necessary to have sections of the propeller at
                                                            various radii. These sections are drawn and rotated


                                                                                                   1785 | P a g e
Dr.Y.Seetharama Rao, B.Sridhar Reddy / International Journal of Engineering Research and
                 Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                  Vol. 2, Issue 5, September- October 2012, pp.1785-1787
through their respective pitch angles. Then all rotated
sections are projected on to right circular cylinders of
respective radii. Finally the propeller is modeled by
using four noded quadrilateral shell element and is
converted into a solid model.

3.1. MESH GENERATION USING HYPER
     MESH:
         The solid model is imported to Hyper mesh         Fig.2 Propeller FE model in ANSYS boundary
10.0 and hexahedral mesh is generated for the same.        conditions
The composite propeller meshed model is shown in
Fig.1.2D mesh is generated by splitting the areas and      4.   MODAL ANALYSIS:
then converted into 3D mesh using the tool linear                   It computes the natural frequencies and the
solid. The number of elements created is 27388 and         mode shapes of a propeller. The natural frequencies
number of nodes created is 52412. Now the pressures        are the frequencies at which a propeller will tend to
are applied on the propeller which is obtained from        vibrate when it is subjected to a disturbance.
FLUENT 6.3. Then the meshed model is imported                       In normal mode analysis there is no applied
into the ANSYS. Solid 45 element is selected for           load and the structure has no damping properties. The
aluminum metal and solid 46 element type is selected       equation of motion is of the form:
for composite propeller.

Table 1. Material Properties:                                                           ----(1)
S2Glass                                                             where [K] and [M] are the stiffness and
                       Aluminium                           mass matrices representing the elastic and inertial
fabric/Epoxy
                                                           properties of the structure respectively
                        Young’s modulus             E=     Assuming a harmonic solution, the above reduces to
Ex=22.925Gpa                                               an eigenvalue problem.
                        70000 MPa
                                                           [K-i M]{ I}=0 ----(2)
Ey=22.925Gpa            Poisson’s ratio NUXY=0.34          Where {ϕ}is the eigenvector (or mode
                                                           shape) corresponding to the eigenvalue (the
Ez=12.4Gpa              Mass density =2700 kg/m3           natural or characteristic frequency).

NUXY =0.12                                                 5.   RESULTS AND DISCUSSIONS:
                        Damping co-efficient =0.03                   Modal analysis is carried out for Aluminum
NUYZ=0.2                                                   propeller, and composite propeller using Block
                                                           Lanczos method. This analysis does not represents
NUZX=0.2                                                   the response due to any loading but yields by natural
                                                           frequencies and corresponding mode shapes in the
                                                           form of Eigen vectors of the propeller when there is
Gxy=4.7Gpa
                                                           no dissipation of energy due to damping. In short cut
                                                           it is the analysis of undamped free vibration of
Gyz=Gzx =4.2Gpa
                                                           propeller in the absence of damping and applied
                                                           loads. First ten natural frequencies are obtained for
ρ =1.8gm/cc
                                                           Aluminum and composite propeller as shown in
                                                           Table 2. The Natural frequency of Aluminum and
                                                           composite propeller were shown in Fig.3.
                                                                     Modal analysis results show that the first
                                                           critical speed of Aluminum propeller is 1312 Hz and
                                                           next critical speed is 1322 Hz and are tabled in table
                                                           2. The tenth mode shapes obtained in Modal analysis
                                                           are shown in Fig.4.
                                                                     Modal analysis results show that the first
                                                           critical speed of composite propeller is 763.64 Hz
 Fig.1 Composite propeller meshed model                    and next critical speed is 765.03 Hz and are tabled in
                                                           Table 2. The tenth mode shapes obtained in Modal
3.2 BOUNDARY CONDITIONS AND LOADS:                         analysis are shown in Fig5. The natural frequencies
         The propeller is fixed in all directions at hub   of Aluminum and composite propeller are compared.
and shaft intersection. The pressure is applied to the     The natural frequencies of Aluminum materials were
propeller which is obtained from the FLUENT 6.3.           found 41% more. Even though the natural
The boundary conditions are shown in Fig.2                 frequencies are reduced in composite still they are



                                                                                                1786 | P a g e
Dr.Y.Seetharama Rao, B.Sridhar Reddy / International Journal of Engineering Research and
                 Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                  Vol. 2, Issue 5, September- October 2012, pp.1785-1787
more than the operating frequency(31Hz).The weight                                          natural frequencies of Aluminium propeller
of the composite propeller is 42% less than                                                 were found 41 % more than the composite
Aluminium propeller.                                                                        propeller.
Table 2. Comparison of natural frequency of                                            3.   The weight of the composite propeller is 42
Aluminum and composite propeller                                                            % less than the Aluminium propeller.
       Natural frequencies Natural frequencies                                         4.   This study helps in predicting the operating
S.No of          Aluminum of             Composite                                          frequency of the propeller.
       propeller in Hz         propeller in Hz
1      1312                    763.64                                               REFERENCES:
2      1322                    765.03                                                [1]    J.F.Tsai, H.J.L.a., Analysis of Underwater
3      1322                    765.03                                                       Free Vibrations of a Composite Propeller
4      1322.5                  765.45                                                       Blade. Journal of Reinforced Plastics And
5      2120.3                  1294.6                                                       Composites, 2008. Vol. 27, No. 5: p. 447-
6      2127.3                  1295.7                                                       458.
7      2127.3                  1295.7                                                [2]    H.J.Lin , W.M.L.a.Y.M.K., effect of
8      2129.1                  1296.2                                                       stacking sequence om nonlinear hydroelastic
9      2982.8                  1787.2                                                       behavior composite propeller Journal of
10     3114.6                  1801.5                                                       Mechanics, 2010. Vol. 26, No. 3: p. 293-
                                               COMPARISON
                                                                                            298.
                     3500
                                                                                     [3]    Toshio      Yamatogi,      H.M.,     Kiyoshi
                     3000
                                                                                            Uzawa,Kazuro Kageya, Study on Cavitation
                                                                                            Erosion of Composite Materials for Marine
 NATURAL FREQUENCY




                     2500


                     2000
                                                                                            Propeller. 2010.
                     1500
                                                                        COMPOSITE
                                                                        METAL        [4]    Young, Y.L., Fluid–structure interaction
                     1000
                                                                                            analysis of flexible composite marine
                     500
                                                                                            propellers. Journal of Fluids and Structures,
                       0
                                                                                            2008. 24(6): p.799-818.
                            0      2    4        6
                                            NO OF MODES
                                                          8   10   12
                                                                                     [5]    A.P. Mouritz, Z.M, Post fibre mechanical
                                                                                            properties of marine polymer composites,
Fig.3 Natural frequency of Aluminum and composite                                           Elseveir science Ltd,2000,47:p.643-653.
propeller                                                                            [6]    Chang j.h, Y.S. Shih, Basic design of series
                                                                                            propeller with vibration consideration by
                                                                                            genetic algorithm, Journal of Marine
                                                                                            Science and Technology,2007.12(3),119-
                                                                                            129.
                                                                                     [7]    Amoraripei M, Predection of marine
                                                                                            propeller performance using RANS,
                                                                                            Numerical       analysis    and      Applied
                                                                                            Mathematics,                    International
                                                                                            Conference,2008,771-774.
                                                                                     [8]    Liu Z,Y L Young, Static divergence of self
Fig.4 Tenth mode shape of Aluminium Propeller                                               twisting composite rotors, journal of fluids
                                                                                            and structures, 2010,26(5),841-847.
                                                                                     [9]    Taylor,D.W, “The speed and power of
                                                                                            ships”, Washington,1933.
                                                                                     [10]   Chang-sup lee, yong-jik kim,gun-do kim
                                                                                            and in-sik nho.“Case Study on the Structural
                                                                                            Failure of Marine Propeller Blades”
                                                                                            Aeronautical Journal, Jan 1972, pp87-98
                                                                                     [11]   G.H.M.Beek, visitor, Lips B.V., Drunen.
                                                                                            “Hub-Blade Interaction In Propeller
                                                                                            Strength”, the society of naval architects
Fig.5 Tenth mode shape of Composite Propeller                                               and marine engineers, May 24-25, 1978,
                                                                                            pp 19-1-19-14.
6. CONCLUSIONS:                                                                      [12]   Gau-Feng Lin “Three Dimensional Stress
                      1.        Modal analysis shows that the first critical                Analysis of a Fiber Reinforced Composite
                                speed of Aluminium propeller is 1312 Hz                     Thruster Blade”, the society of naval
                                and next critical speed is 1322 Hz.                         architects and marine engineers ,1991.
                      2.        The natural frequencies of aluminium and
                                composite propeller were compared. The



                                                                                                                        1787 | P a g e

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Kd2517851787

  • 1. Dr.Y.Seetharama Rao, B.Sridhar Reddy / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 5, September- October 2012, pp.1785-1787 Modal Analysis Of Composite Propeller For Ships Application Dr.Y.SEETHARAMA RAO*, B.SRIDHAR REDDY* *(Dept of Mechanical Engineering,G.V.P College Of Engineering,Visakhapatanam-48,Andhrapradesh,India) ABSTRACT Present work proposes a modal analysis calculations of the stresses resulting from these forces to design a propeller with a metal and composite is extremely difficult. material to analyze its natural frequencies and mode shapes using ANSYS software. In order to The modal analysis of propeller blade with evaluate the effectiveness of composite over aluminum and composite propeller is carried out in metals, modal analysis is performed on both the present work. The objective of this work is to composite and metal propellers using ANSYS. compare the natural frequencies of the composite and Proposed method shows substantial improvements metal propeller. in composite propeller over the metal propeller.From the results of modal analysis 2. LITERATURE REVIEW: composite propeller is safe against resonance The application of composite materials phenomenon. In this paper effort is made to technology to marine architecture has increased with reduce frequency of the composite propeller so particular benefits of its light weight, less noise and that advantage of weight reduction can be pressure fluctuation and less fuel consumption[1].The obtained. The comparison analysis of metallic and finite element method is so popular and has been composite propeller has been made for the natural used by many researchers[2].The technology frequencies. advances and the costs of composites are becoming cheaper[3].Moreover composites can offer the Keywords: Composite Propeller, Natural potential benefits of reduced corrosion and cavitation frequency, Modal analysis, FEA damage, improved fatigue performance, lower noise, improved material damping properties and reduced 1. INTRODUCTION: life time maintenance costs[4].Changes to the tensile Fibre reinforced plastic(FRP) is extensively and flexure properties of marine-grade glass – applied in various structures because of its light reinforced polyster, vinylster and resole phenolic weight, high strength and corrosion resistance. Bend- composites after exposure to radiant heat are twist coupling effect is another unique characteristic investigated[5].When using the Genetic Algorithm of composite material. Structures can be stiffened or approach, some techniques for parameter setting to deformed in a certain direction by arranging the provide quick and correct results were discussed orientation of the fibres. along with the influence of these parameters[6].The Most marine propellers are made of metal numerical results are in aggrement with experimental material such as bronze or steel. The advantage of data and the general characteristics of the propeller replacing metal with an FRP composite is that the flow seem to be quite well predicted[7].A strong latter is lighter and corrosion resistant. Another correlation was identified between the divergence important advantage is the deformation of the ship speed and the change in the tip pitch angle of the composite propeller can be controlled to improve its blades in brief communication static divergence of performance. Propellers always rotate at constant self twisting composite rotors. The methodology used velocities that maximize the efficiency of the engine. is equally applicable to other structures such as tidal When the ship sails at designed speed, the inflow and wind turbines[8].Taylor[9] considered a propeller angle is close to its pitch angle. When the ship sails at blade as a cantilever rigid at the boss. Chang a lower speed, the inflow angle is smaller. Hence, the Suplee[10] investigated the main sources of propeller pressure on the propeller increases as the ship speed blade failure and resolved the problems related to decreases. blades symmetrically. G.H.M.Beek[11] examined the The propeller is an important component for interference between the stress conditions in the the safe operation of ship at sea. It is therefore propeller blade and the hub. Gau Fenglin[12] carried important to ensure that ship propeller must have out stress calculations for fibre reinforced composite adequate strength to with stand the forces that act thrust blade. upon them. The forces that act on propeller blade arises from thrust, torque of the propeller and the 3. MODELING OF PROPELLER: centrifugal forces on each blade caused by its Modeling of the propeller has been done by revolution around the axis. Owing to somewhat using CATIA V5R17. In order to model the blade, it complex shape of propeller blades, the accurate is necessary to have sections of the propeller at various radii. These sections are drawn and rotated 1785 | P a g e
  • 2. Dr.Y.Seetharama Rao, B.Sridhar Reddy / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 5, September- October 2012, pp.1785-1787 through their respective pitch angles. Then all rotated sections are projected on to right circular cylinders of respective radii. Finally the propeller is modeled by using four noded quadrilateral shell element and is converted into a solid model. 3.1. MESH GENERATION USING HYPER MESH: The solid model is imported to Hyper mesh Fig.2 Propeller FE model in ANSYS boundary 10.0 and hexahedral mesh is generated for the same. conditions The composite propeller meshed model is shown in Fig.1.2D mesh is generated by splitting the areas and 4. MODAL ANALYSIS: then converted into 3D mesh using the tool linear It computes the natural frequencies and the solid. The number of elements created is 27388 and mode shapes of a propeller. The natural frequencies number of nodes created is 52412. Now the pressures are the frequencies at which a propeller will tend to are applied on the propeller which is obtained from vibrate when it is subjected to a disturbance. FLUENT 6.3. Then the meshed model is imported In normal mode analysis there is no applied into the ANSYS. Solid 45 element is selected for load and the structure has no damping properties. The aluminum metal and solid 46 element type is selected equation of motion is of the form: for composite propeller. Table 1. Material Properties: ----(1) S2Glass where [K] and [M] are the stiffness and Aluminium mass matrices representing the elastic and inertial fabric/Epoxy properties of the structure respectively Young’s modulus E= Assuming a harmonic solution, the above reduces to Ex=22.925Gpa an eigenvalue problem. 70000 MPa [K-i M]{ I}=0 ----(2) Ey=22.925Gpa Poisson’s ratio NUXY=0.34 Where {ϕ}is the eigenvector (or mode shape) corresponding to the eigenvalue (the Ez=12.4Gpa Mass density =2700 kg/m3 natural or characteristic frequency). NUXY =0.12 5. RESULTS AND DISCUSSIONS: Damping co-efficient =0.03 Modal analysis is carried out for Aluminum NUYZ=0.2 propeller, and composite propeller using Block Lanczos method. This analysis does not represents NUZX=0.2 the response due to any loading but yields by natural frequencies and corresponding mode shapes in the form of Eigen vectors of the propeller when there is Gxy=4.7Gpa no dissipation of energy due to damping. In short cut it is the analysis of undamped free vibration of Gyz=Gzx =4.2Gpa propeller in the absence of damping and applied loads. First ten natural frequencies are obtained for ρ =1.8gm/cc Aluminum and composite propeller as shown in Table 2. The Natural frequency of Aluminum and composite propeller were shown in Fig.3. Modal analysis results show that the first critical speed of Aluminum propeller is 1312 Hz and next critical speed is 1322 Hz and are tabled in table 2. The tenth mode shapes obtained in Modal analysis are shown in Fig.4. Modal analysis results show that the first critical speed of composite propeller is 763.64 Hz Fig.1 Composite propeller meshed model and next critical speed is 765.03 Hz and are tabled in Table 2. The tenth mode shapes obtained in Modal 3.2 BOUNDARY CONDITIONS AND LOADS: analysis are shown in Fig5. The natural frequencies The propeller is fixed in all directions at hub of Aluminum and composite propeller are compared. and shaft intersection. The pressure is applied to the The natural frequencies of Aluminum materials were propeller which is obtained from the FLUENT 6.3. found 41% more. Even though the natural The boundary conditions are shown in Fig.2 frequencies are reduced in composite still they are 1786 | P a g e
  • 3. Dr.Y.Seetharama Rao, B.Sridhar Reddy / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 5, September- October 2012, pp.1785-1787 more than the operating frequency(31Hz).The weight natural frequencies of Aluminium propeller of the composite propeller is 42% less than were found 41 % more than the composite Aluminium propeller. propeller. Table 2. Comparison of natural frequency of 3. The weight of the composite propeller is 42 Aluminum and composite propeller % less than the Aluminium propeller. Natural frequencies Natural frequencies 4. This study helps in predicting the operating S.No of Aluminum of Composite frequency of the propeller. propeller in Hz propeller in Hz 1 1312 763.64 REFERENCES: 2 1322 765.03 [1] J.F.Tsai, H.J.L.a., Analysis of Underwater 3 1322 765.03 Free Vibrations of a Composite Propeller 4 1322.5 765.45 Blade. Journal of Reinforced Plastics And 5 2120.3 1294.6 Composites, 2008. Vol. 27, No. 5: p. 447- 6 2127.3 1295.7 458. 7 2127.3 1295.7 [2] H.J.Lin , W.M.L.a.Y.M.K., effect of 8 2129.1 1296.2 stacking sequence om nonlinear hydroelastic 9 2982.8 1787.2 behavior composite propeller Journal of 10 3114.6 1801.5 Mechanics, 2010. Vol. 26, No. 3: p. 293- COMPARISON 298. 3500 [3] Toshio Yamatogi, H.M., Kiyoshi 3000 Uzawa,Kazuro Kageya, Study on Cavitation Erosion of Composite Materials for Marine NATURAL FREQUENCY 2500 2000 Propeller. 2010. 1500 COMPOSITE METAL [4] Young, Y.L., Fluid–structure interaction 1000 analysis of flexible composite marine 500 propellers. Journal of Fluids and Structures, 0 2008. 24(6): p.799-818. 0 2 4 6 NO OF MODES 8 10 12 [5] A.P. Mouritz, Z.M, Post fibre mechanical properties of marine polymer composites, Fig.3 Natural frequency of Aluminum and composite Elseveir science Ltd,2000,47:p.643-653. propeller [6] Chang j.h, Y.S. Shih, Basic design of series propeller with vibration consideration by genetic algorithm, Journal of Marine Science and Technology,2007.12(3),119- 129. [7] Amoraripei M, Predection of marine propeller performance using RANS, Numerical analysis and Applied Mathematics, International Conference,2008,771-774. [8] Liu Z,Y L Young, Static divergence of self Fig.4 Tenth mode shape of Aluminium Propeller twisting composite rotors, journal of fluids and structures, 2010,26(5),841-847. [9] Taylor,D.W, “The speed and power of ships”, Washington,1933. [10] Chang-sup lee, yong-jik kim,gun-do kim and in-sik nho.“Case Study on the Structural Failure of Marine Propeller Blades” Aeronautical Journal, Jan 1972, pp87-98 [11] G.H.M.Beek, visitor, Lips B.V., Drunen. “Hub-Blade Interaction In Propeller Strength”, the society of naval architects Fig.5 Tenth mode shape of Composite Propeller and marine engineers, May 24-25, 1978, pp 19-1-19-14. 6. CONCLUSIONS: [12] Gau-Feng Lin “Three Dimensional Stress 1. Modal analysis shows that the first critical Analysis of a Fiber Reinforced Composite speed of Aluminium propeller is 1312 Hz Thruster Blade”, the society of naval and next critical speed is 1322 Hz. architects and marine engineers ,1991. 2. The natural frequencies of aluminium and composite propeller were compared. The 1787 | P a g e