DOI QR코드

DOI QR Code

Dynamic stability analysis of laminated composite plates in thermal environments

  • Chen, Chun-Sheng (Department of Mechanical Engineering, Lunghwa University of Science and Technology) ;
  • Tsai, Ting-Chiang (Department of Mechanical Engineering, National Taipei University of Technology) ;
  • Chen, Wei-Ren (Department of Mechanical Engineering, Chinese Culture University) ;
  • Wei, Ching-Long (Department of Mechanical Engineering, Lunghwa University of Science and Technology)
  • Received : 2011.03.31
  • Accepted : 2013.06.04
  • Published : 2013.07.25

Abstract

This paper studies the dynamic instability of laminated composite plates under thermal and arbitrary in-plane periodic loads using first-order shear deformation plate theory. The governing partial differential equations of motion are established by a perturbation technique. Then, the Galerkin method is applied to reduce the partial differential equations to ordinary differential equations. Based on Bolotin's method, the system equations of Mathieu-type are formulated and used to determine dynamic instability regions of laminated plates in the thermal environment. The effects of temperature, layer number, modulus ratio and load parameters on the dynamic instability of laminated plates are investigated. The results reveal that static and dynamic load, layer number, modulus ratio and uniform temperature rise have a significant influence on the thermal dynamic behavior of laminated plates.

Keywords

Acknowledgement

Supported by : National Science Council

References

  1. Al-Huniti, N.S. and Al-Nimr, M.A. (2004), "Dynamic thermoelastic response of a heated thin composite plate using the hyperbolic heat conduction model", Int. J. Heat Tech., 22(1), 179-185.
  2. Bolotin, V.V. (1964), The Dynamic Stability of Elastic Systems, Holden-Day, San Francisco.
  3. Evan-Ivanowski, R.M. (1976), Resonance Oscillations in Mechanical Systems, Elsevier, Amsterdam.
  4. Chakrabarti, A. (2008), "An efficient FE model for dynamic instability analysis of imperfect composite laminates", Struct. Eng. Mech., Int. J., 30(3), 383-386. https://doi.org/10.12989/sem.2008.30.3.383
  5. Chen, C.S. (2007), "The nonlinear vibration of an initially stressed laminated plate", Compos. Part B: Eng., 38(4), 437-447. https://doi.org/10.1016/j.compositesb.2006.09.002
  6. Chen, C.S., Chen, W.R. and Chien, R.D. (2009), "Stability of parametric vibrations of hybrid laminated plates", Eur. J. Mech. A/Solids, 28(2), 329-337. https://doi.org/10.1016/j.euromechsol.2008.06.004
  7. Chen, L.W. and Yang, J.Y. (1990), "Dynamic stability of laminated composite plates by the finite element method", Comput. Struct., 36(5), 845-851. https://doi.org/10.1016/0045-7949(90)90155-U
  8. Dey, P. and Singha, M.K. (2006), "Dynamic stability analysis of composite skew plates subjected to periodic in-plane load", Thin-Walled Struct., 44(9), 937-942. https://doi.org/10.1016/j.tws.2006.08.023
  9. Fares, M.E., Youssif, Y.G. and Hafiz, M.A. (2004), "Structural and control optimization for maximum thermal buckling and minimum dynamic response of composite laminated plates", Int. J. Solids Struct., 41(3-4), 1005-1019. https://doi.org/10.1016/j.ijsolstr.2003.09.047
  10. Heidary, F. and Eslami, M.R. (2004), "Dynamic analysis of distributed piezothermoelastic composite plate using first-order shear deformation theory", J. Thermal Stresses, 27(7), 587-605. https://doi.org/10.1080/01495730490466192
  11. Liu, C.F. and Huang, C.H. (1996), "Free vibration of composite laminated plates subjected to temperature changes", Comput. Struct., 60(1), 95-101. https://doi.org/10.1016/0045-7949(95)00358-4
  12. Makhecha, D.P., Ganapathi, M. and Patel, B.P. (2001), "Dynamic analysis of laminated composite plates subjected to thermal/mechanical loads using an accurate theory", Compos. Struct., 51(3), 221-236. https://doi.org/10.1016/S0263-8223(00)00133-1
  13. Matsunaga, H. (2005), "Thermal buckling of cross-ply laminated composite and sandwich plates according to a global higher order deformation theory", Compos. Struct., 68(4), 439-454. https://doi.org/10.1016/j.compstruct.2004.04.010
  14. Moradi, S. and Mansouri, M.H. (2012), "Thermal buckling analysis of shear deformable laminatedorthotropic plates by differential quadrature", Steel Compos. Struct., Int. J., 12(2), 129-147. https://doi.org/10.12989/scs.2012.12.2.129
  15. Patel, S.N., Datta, P.K. and Sheikh, A.H. (2009), "Parametric study on the dynamic instability behavior of laminated composite stiffened plate", J. Eng. Mech., 135(11), 1331-1341. https://doi.org/10.1061/(ASCE)0733-9399(2009)135:11(1331)
  16. Shariyat, M. (2009), "Dynamic buckling of imperfect laminated plates with piezoelectric sensors and actuators subjected to thermo-electro-mechanical loadings, considering the temperature-dependency of the material properties", Compos. Struct., 88(2), 228-239. https://doi.org/10.1016/j.compstruct.2008.03.044
  17. Shen, H.S., Zheng, J.J. and Huang, X.L. (2003), "Dynamic response of shear deformable laminated plates under thermomechanical loading and resting on elastic foundations", Compos. Struct., 60(1), 57-66. https://doi.org/10.1016/S0263-8223(02)00295-7
  18. Shukla, K.K. and Nath, Y. (2002), "Buckling of laminated composite rectangular plates under transient thermal loading", J. Appl. Mech. Trans., ASME, 69(5), 684-692. https://doi.org/10.1115/1.1485755
  19. Tylikowski, A. (2003), "Shear deformation effects on thermally induced instability of laminated plates", J. Thermal Stresses, 26(11-12), 1251-1261. https://doi.org/10.1080/714050884
  20. Topal, U. (2012), "Thermal buckling load optimization of laminated plates with different intermediate line supports", Steel Compos. Struct., Int. J., 13(3), 207-223. https://doi.org/10.12989/scs.2012.13.3.207
  21. Wang, S. and Dawe, D.J. (2002), "Dynamic instability of composite laminated rectangular plates and prismatic plate structures", Comput. Meth. Appl. Mech. Eng., 191(17-18), 1791-1826. https://doi.org/10.1016/S0045-7825(01)00354-1

Cited by

  1. Parametric resonance of composite skew plate under non-uniform in-plane loading vol.55, pp.2, 2015, https://doi.org/10.12989/sem.2015.55.2.435
  2. Hygrothermal effects on dynamic instability of a laminated plate under an arbitrary pulsating load vol.48, pp.1, 2013, https://doi.org/10.12989/sem.2013.48.1.103
  3. Buckling of sandwich plates with FG-CNT-reinforced layers resting on orthotropic elastic medium using Reddy plate theory vol.23, pp.6, 2013, https://doi.org/10.12989/scs.2017.23.6.623
  4. Ant colony optimization for dynamic stability of laminated composite plates vol.25, pp.1, 2013, https://doi.org/10.12989/scs.2017.25.1.105