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Abstract

Here, nonlinear dynamic behavior of composite skew plates is investigated using the finite element method. The, formulation is based on shear deformation theory. The nonlinear governing equations of motion are solved using direct, iteration procedure for free vibration case, and Newmark's time integration technique is employed for dynamic response analysis. Few numerical examples are considered to highlight the influences of skew angle, fiber orientation, boundary condition and aspect ratio on the nonlinear dynamic characteristics of composite skew laminates.

Keywords

Composite skew plate, Free vibration, Transient response, FEM

Article Details

How to Cite
Singha, M. K., Prabhakar, S., & Ganapathi, M. (2023). Nonlinear Dynamic Analysis of Skew Laminates Using Finite Element Method. Journal of Aerospace Sciences and Technologies, 56(4), 254–264. https://doi.org/10.61653/joast.v56i4.2004.842

References

  1. Leissa, A.W., "Plate Vibration Research", 1976- 1980: Classical Theory, Shock Vib. Digest, 13,1981, pp.11-22.
  2. Leissa, A. W., "Plate Vibration Research",1976- 1980: Complicating Factors, Shock Vib. Digest, 13, 1981, pp.19-36.
  3. Bert, C. W., "Research on Dynamic Behavior of Composite and Sandwich Plates" -IV Shock Vib. Digest, I7, 1985, pp.3-15.
  4. Sathyamoorthy, M., "Nonlinear Vibration Analysis of Plates: A Review and Survey of Current Developments", ASME, Appl. Mech. Rev, 40, 1987, pp.1553-1561.
  5. Chia, C.Y., "Geometrically Nonlinear Behavior of Composite Plates: A Review", ASME, Appl. Mech. Rev, 41, 1988, pp. 439-45I.
  6. Kapania, R.K. and Raciti, S., "Recent Advances in Analysis of Laminated Beams and Plates", Part-II: Vibration and Wave Propagation, Am. Inst. Aero- naut. Astronautics Journal, 21 ,1989, pp.935-946.
  7. Middleton (editor), D.H., "Composite Materials in Aircraft Structures", Longman Scientific and Technical. New York. 1990.
  8. Iyengar, N.G.R. and Umaretiya, J.R., "Transverse Vibrations of Hybrid Laminated Plates", J. Sound and Vibration, 704, 1986, pp.425-435.
  9. Malhotra, S.K., Ganesan, N. and Veluswami, M.A., "Effect of Fibre Orientation and Boundary Conditions on the Vibration Behaviors of Orthotropic Rhombic Plates", Composites, 19, 1988, pp.127- 132.
  10. Krishnan, A. and Deshpande, J.V., "Vibration of Skew Laminates", J. Sound andVibration ,I53,1992, pp.351-358.
  11. Kapania, R.K. and Singhvi, S., "Free Vibration Analysis of Generally Laminated Tapered Skew Plates", Composites Engineering, 2,1992, pp.197- 212.
  12. Anlas, G. and Goker, G., "Vibration Analysis of Skew Fiber-reinforced Composite Laminated Plates", J. Sound and Vibration , 242,2007, pp.265- 216.
  13. Wang, S., "Vibration of Thin Skew Fiber Reinforced Composite Laminates", J. Sound and Vibration, 201, 1997, pp.335-352.
  14. Han, W. and Dickinson, S.M., "Free Vibration of Symmetrically Laminated Skew Plates", J. Sound and Vibration, 208, 1997 , pp.367-390.
  15. Hosokawa, K., Terada, Y. and Sakata, T., "Free Vibration of Clamped Symmetrically Laminated Skew Plates", J. Sound and Vibration, 189, 1996, pp.525-533.
  16. Reddy, A.R.K. and Palaninathan, R., "Free Vibration of Skew Laminates", Computers and Structures, '70, 1999, pp.415-423.
  17. Makhecha, D.P., Patel, B.P. and Ganapathi, M., "Transient Dynamics of Thick Skew Sandwich Laminates Under Thermal/Mechanical Loads", Journal of Reinforced Plastics and Composites,20,200I, pp.1524 - 7545.
  18. Wang, C.M., Ang, K.K. Yang, L. and Watanabe, E., "Free Vibration of Skew Sandwich Plates with Laminated Facings", J. Sound and Vibration,235,2000, pp.3I7-340.
  19. Nowinski, J.L., "Large Amplitude Oscillations of Oblique Panels with Initial Curvature", , Am. Inst. Aeronaut. Astronaut. Journal, 2, 1964, pp.1025- 1031.
  20. Ray, A.K., Banerjee, B. and Bhattacharjee, B., "Large Amplitude Free Vibrations of Skew plates Including Transverse Shear Deformation and Rotary Inertia - A New Approach", J. Sound and Vibration, 180, 1995, pp.669-681.
  21. Sathyamoothy, M. and Pandalai, K.A.V., "Nonlinear Flexural Vibration of Orthotropic Skew Plates", Journal of Sound and Vibration, 24, I972, pp.115- 120.
  22. Prathap, G. and Varadan, T.K., "Non-linear Flexural Vibration of Anisotropic Skew Plate", Journal of Sound and Vibration, 63,1979, pp.3l5-323.
  23. Sathyamoorthy, M. and Chia, C.Y., "Effects of Shear and Rotary Inertia on Large Amplitude Vibrations of Anisotropic Skew Plates, Parts-I and II", ASME, J. Appl. Mech.,41,1980, pp.128-138.
  24. Patel, B.P., Ganapathi, M., Makecha, D.P. and Shah, P., "Large Amplitude Free Flexural Vibration of Rings Using Finite Element Approach", Int. J. of Non-Linear Mechanics, 38, 2003, pp.911-921.
  25. Singha, M.K., Ramachandra, L.S. and Bandyopad- hyay, J.N., "Thermal Postbuckling Analysis of Laminated Composite Plates", Composite Structures, 54, 2007, pp.453-458.
  26. Singha, M.K., Ramachandra, L.S. and Bandyopad- hyay, J.N., "Stability and Strength of Composite Skew Plates Under Thermomechanical Loads, Am. Inst. Aeronaut. Astronaut. Journal, 39, 200I, pp.1618-1623.
  27. Jones, R.M., "Mechanics of Composite Materials',, McGraw-Hill, New York, 1975.
  28. Ganapathi, M., Varadan, T.K. and Sarma, B.S., "Nonlinear Flexural Vibration s of Laminated Orthotropic Plates", Computers and Structures, 39, 1991, pp.685-688.
  29. Ganapathi, M. and Varadan, T.K., "NonlinearFree Flexural Vibrations of Laminated Circular Cylindrical Shells", Composite Structures, 30, 1995, pp.33- 49.
  30. Chu, H.N. and Herrmann, G., "Influence of Large Amplitudes on Free Flexural Vibrations of Rectangular Plates", ASME, J. of Applied Mechanics, 23, 7956, pp.532-540.
  31. I Ganapathi, M. and Touratier, M., "A Study on Thermal Postbuckling Behavior of Laminated Composite Plates Using a Shear Flexible Finite Element", Finite Elements in Analysis and Design, 28, I997, pp.115-135.

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