Structural Engineering and Mechanics

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Hygrothermal effects on dynamic instability of a laminated plate under an arbitrary pulsating load

  • Wang, Hai (Mechanical Engineering, Ming Chi University of Technology) ;
  • Chen, Chun-Sheng (Mechanical Engineering, Lunghwa University of Science and Technology) ;
  • Fung, Chin-Ping (Mechanical Engineering, Oriental Institute of Technology)
  • Received : 2012.07.11
  • Accepted : 2013.10.02
  • Published : 2013.10.10
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Abstract

This paper studies the static and dynamic characteristics of composite plates subjected to an arbitrary periodic load in hygrothermal environments. The material properties of composite plates are depended on the temperature and moisture. The governing equations of motion of Mathieu-type are established by using the Galerkin method with reduced eigenfunction transforms. A periodic load is taken to be a combination of axial pulsating load and bending stress in the example problem. The regions of dynamic instability of laminated composite plates are determined by solving the eigenvalue problems based on Bolotin's method. The effects of temperature rise and moisture concentration on the dynamic instability of laminated composite plates are investigated and discussed. The influences of various parameters on the instability region and dynamic instability index are also investigated. The numerical results reveal that the influences of hygrothermal effect on the dynamic instability of laminated plates are significant.

Keywords

References

  1. Adams, D.F. and Miller, A.K. (1977), "Hygrothermal microstresses in a unidirectional composite exhibiting inelastic materials behavior", J. Compos. Mater., 11, 285-299. https://doi.org/10.1177/002199837701100304
  2. Bolotin, V.V. (1964), The dynamic stability of elastic systems, Holden-Day, San Francisco, CA.
  3. Bowles, D.E. and Tompkins, S.S. (1989), "Prediction of coefficients of thermal expansion for unidirectional composites", J. Compos. Mater., 23, 370-381. https://doi.org/10.1177/002199838902300405
  4. Brunell, E.J. and Robertson, S.R. (1974), "Initially stressed Mindlin plates", AIAA J., 12, 1036-1045. https://doi.org/10.2514/3.49407
  5. Chakrabarti, A. (2008), "An efficient FE model for dynamic instability analysis of imperfect composite laminates", Struct. Eng. Mech., 30, 383-386. https://doi.org/10.12989/sem.2008.30.3.383
  6. Chen, C.S., Fung, C.P. and Chien, R.D. (2006), "A further study on nonlinear vibration of initially stressed plates", Appl. Math. and Comput., 172, 349-337. https://doi.org/10.1016/j.amc.2005.02.007
  7. 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, 329-337. https://doi.org/10.1016/j.euromechsol.2008.06.004
  8. Chen, C.S., Tsai, T.C., Chen, W.R. and Wei, C.L. (2013), "Dynamic analysis of laminated composite plates in thermal environments", Steel Compos. Struct., 15, 57-79. https://doi.org/10.12989/scs.2013.15.1.57
  9. Chen, L.W. and Yang, J.Y. (1990), "Dynamic stability of laminated composite plates by the finite element method", Comput. Struct., 36, 845-851. https://doi.org/10.1016/0045-7949(90)90155-U
  10. Cho, H.K. (2009), "Optimization of dynamic behaviors of an orthotropic composite shell subjected to hygrothermal environment", Finite Elem. Anal. Des., 45, 852-860. https://doi.org/10.1016/j.finel.2009.06.029
  11. Dey, P. and Sinqha, M.K. (2006), "Dynamic stability analysis of composite skew plates subjected to periodic in-plane load", Thin Wall. Struct., 44, 937-942. https://doi.org/10.1016/j.tws.2006.08.023
  12. Evan-Ivanowski, R.M. (1976), Resonance oscillations in mechanical systems, Elsevier, Amsterdam.
  13. Gigliottia, M., Molimard, J., Jacquemin, F. and Vautrin, A. (2006), "On the nonlinear deformations of thin unsymmetric 0/90 composite plates under hygrothermal loads", Compos. Part A- Appl. Sci. Manuf., 37, 624-629. https://doi.org/10.1016/j.compositesa.2005.05.003
  14. Huang, X.L., Shen, H.S. and Zheng, J.J. (2004), "Nonlinear vibration and dynamic response of shear deformable laminated plates in hygrothermal environments", Compos. Sci. Tech., 64, 1419-1435. https://doi.org/10.1016/j.compscitech.2003.09.028
  15. Kumar, R. and Singh, D. (2012), "Hygrothermal buckling response of laminated composite plates with random material properties: Micro-mechanical model", Appl. Mech. Mater., 110-116, 113-119.
  16. Liu, C.F. and Huang, C.H. (1996), "Free vibration of composite laminated plates subjected to temperature changes", Comput. Struct., 60, 95-101. https://doi.org/10.1016/0045-7949(95)00358-4
  17. Nanda, N. and Pradyumna, S. (2011), "Nonlinear dynamic response of laminated shells with imperfections in hygrothermal environments", J. Compos. Mater., 45, 2103-2112. https://doi.org/10.1177/0021998311401061
  18. Parhi, P.K., Bhattacharyya, S.K. and Sinha, P.K. (2001), "Hygrothermal effects on the dynamic behavior of multiple delaminated composite plates and shells", J. Sound Vib., 248, 195-214. https://doi.org/10.1006/jsvi.2000.3506
  19. Patel, B.P., Ganapathi, M. and Makhecha, D.P. (2002), "Hygrothermal effects on the structural behaviour of thick composite laminates using higher-order theory", Compos. Struct., 56, 25-34. https://doi.org/10.1016/S0263-8223(01)00182-9
  20. 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, 1331-1341. https://doi.org/10.1061/(ASCE)0733-9399(2009)135:11(1331)
  21. Raja, S., Sinha, P.K., Prathap, G. and Dwaeakanathan, D. (2004), "Influence of active stiffening on dynamic behaviour of piezo-hygro-thermo-elastic composite plates and shells", J. Sound Vib., 278, 257-283. https://doi.org/10.1016/j.jsv.2003.10.002
  22. Rao, V.V.S. and Sinha, P.K. (2004a), "Bending characteristics of thick multidirectional composite plates under hygrothermal environment", J. Reinf. Plast. Compos., 23, 1481-1495. https://doi.org/10.1177/0731684404038595
  23. Rao, V.V.S. and Sinha, P.K. (2004b), "Dynamic response of multidirectional composites in hygrothermal environments", Compos. Struct., 64, 329-338. https://doi.org/10.1016/j.compstruct.2003.09.002
  24. Shen, H.S. (2001), "Hygrothermal effects on the postbuckling of shear deformable laminated plates", Int. J. Mech. Sci., 43, 1259-1281. https://doi.org/10.1016/S0020-7403(00)00058-8
  25. Shen, H.S., Zheng, J.J. and Huang, X.L. (2004), "The effects of hygrothermal conditions on the dynamic response of shear deformable laminated plates resting on elastic foundations", J. Reinf. Plast. Compos., 23, 1095-1113. https://doi.org/10.1177/0731684404037038
  26. Tsai, S.W. and Hahn, H.T. (1980), Introduction to composite materials, Technomic Publishing Co, Westport, CT.
  27. Wang, S. and Dawe, D.J. (2002), "Dynamic instability of composite laminated rectangular plates and prismatic plate structures", Comput. Meth. Appl. Mech. Eng., 191, 1791-1826. https://doi.org/10.1016/S0045-7825(01)00354-1

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