DOI QR코드

DOI QR Code

Hygrothermal effects on the vibration and stability of an initially stressed laminated plate

  • Wang, Hai (Department of Mechanical Engineering, Ming Chi University of Technology) ;
  • Chen, Chun-Sheng (Department of Mechanical Engineering, Lunghwa University of Science and Technology) ;
  • Fung, Chin-Ping (Department of Mechanical Engineering, Oriental Institute of Technology)
  • Received : 2014.06.30
  • Accepted : 2015.12.02
  • Published : 2015.12.25

Abstract

The influence of hygrothermal effects on the vibration frequency and buckling load of a shear deformable composite plate with arbitrary initial stresses was investigated. The governing equations of the effects of humid, thermal and initial stresses are established using the variational method. The material properties of the composite plate are affected by both temperature and moisture. The initial stress is taken to be a combination of uniaxial load and pure bending in a hygrothermal environment. The influence of various parameters, such as the fiber volume fraction, temperature, moisture concentration, length/thickness ratios, initial stresses and bending stress ratio on the vibration and stability of the response of a laminated plate are studied in detail. The behavior of vibration and stability are sensitive to temperature, moisture concentration, fiber volume fraction and initial stresses.

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. Bahrami, A. and Nosier, A. (2007), "Interlaminar hygrothermal stresses in laminated plates", Int. J. Solid. Struct., 44, 8119-8142. https://doi.org/10.1016/j.ijsolstr.2007.06.004
  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. Chen, C.S., Fung, C.P. and Chien, R.D. (2006), "A further study on nonlinear vibration of initially stressed plates", Appl. Math. Comput., 172, 349-367. https://doi.org/10.1016/j.amc.2005.02.007
  6. Chen, C.S., Fung, C.P. and Chien, R.D. (2007), "Nonlinear vibration of an initially stressed laminated plate according a higher order theory", Compos. Struct., 77, 521-532. https://doi.org/10.1016/j.compstruct.2005.08.004
  7. Chen, C.S., Fung, C.P. and Yang, J.G. (2009), "Assessment of plate theories for initially stressed hybrid laminated plates", Compos. Struct., 88, 195-201. https://doi.org/10.1016/j.compstruct.2008.03.034
  8. Civalek, O. (2008), "Free vibration analysis of symmetrically laminated composite plates with first-order shear deformation theory (FSDT) by discrete singular convolution method", Finite. Elem. Anal. Des., 44, 725-731. https://doi.org/10.1016/j.finel.2008.04.001
  9. Civalek, O . and Emsen, E. (2009), "Discrete singular convolution method for bending analysis of Reissner/Mindlin plates using geometry transformation", Steel Compos. Struct., 9, 59-75. https://doi.org/10.12989/scs.2009.9.1.059
  10. Jones, R.M. (1975), Mechanics of Composite Materials, Scripta, Washington, DC, USA.
  11. Kumar, R. and Singh, D. (2010), "Hygrothermal buckling response of laminated composite plates with random material properties: Micro-mechanical model", Appl. Mech. Mater., 110, 113-119.
  12. Lee, C.Y. and Kim, J.H. (2013), "Hygrothermal postbuckling behavior of functionally graded plates", Compos. Struct., 95, 278-282. https://doi.org/10.1016/j.compstruct.2012.07.010
  13. 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
  14. Lo, S.H., Zhen, W., Cheung, Y.K. and Wanji, C. (2010), "Hygrothermal effects on multilayered composite plates using a refined higher order theory", Compos. Struct., 92, 633-646. https://doi.org/10.1016/j.compstruct.2009.09.034
  15. Mahapatra, T.R., Kar, V.R. and Panda, S.K. (2016), "Large amplitude free vibration analysis of laminated composite spherical panel under hygrothermal environment", Int. J. Str. Stab. Dyn. (available on line)
  16. Mahapatra, T.R. and Panda, S.K. (2015), "Thermoelastic vibration analysis of laminated doubly curved shallow shell panel", J. Therm. Stress., 38, 39-68. https://doi.org/10.1080/01495739.2014.976125
  17. Naidu, N.V.S. and Sinha P.K. (2007), "Nonlinear free vibration analysis of laminated composite shells in hygrothermal environments", Compos. Struct., 77, 475-483. https://doi.org/10.1016/j.compstruct.2005.08.002
  18. 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
  19. Nayak, A.K., Moy, S.S.J. and Shenoi, R.A. (2005), "A higher order finite element theory for buckling and vibration analysis of initially stressed composite sandwich plates", J. Sound Vib., 286, 763-780. https://doi.org/10.1016/j.jsv.2004.10.055
  20. Nayak, A.K. and Shenoi, R.A. (2005), "Assumed strain finite elements for buckling and vibration analysis of initially stressed damped composite sandwich plates", J. Sandw. Struct. Mater., 7, 307-334. https://doi.org/10.1177/1099636205050084
  21. Panda, S.K. and Mahapatra, T.R. (2014), "Nonlinear finite element analysis of laminated composite spherical shell vibration under uniform thermal loading", Meccanica, 49, 191-213. https://doi.org/10.1007/s11012-013-9785-9
  22. Panda, S.K. and Singh, B.N. (2009), "Thermal postbuckling behavior of laminated composite cylindrical/hyperboloidal shallow shell panel using nonlinear finite element method", Compos. Struct., 91, 366-384. https://doi.org/10.1016/j.compstruct.2009.06.004
  23. Panda, S.K. and Singh, B.N. (2010), "Nonlinear free vibration analysis of thermally post-buckled composite spherical shell panel", Int. J. Mech Mater. Des., 6, 175-188 https://doi.org/10.1007/s10999-010-9127-1
  24. Panda, S.K .and Singh, B.N. (2011), "Large amplitude free vibration analysis of thermally post-buckled composite double curved panel using nonlinear FEM", Finite Elem. Anal. Des., 47, 378-386. https://doi.org/10.1016/j.finel.2010.12.008
  25. Panda, S.K. and Singh, B.N. (2013a), "Thermal post-buckling analysis of laminated composite shell panel using NFEM", Mech. Bas. Des. Struct. Mach., 41, 468-488. https://doi.org/10.1080/15397734.2013.797330
  26. Panda, S.K. and Singh, B.N. (2013b), "Post-buckling analysis of laminated composite doubly curved panel embedded with SMA fibres subjected to thermal environment", Mech. Adv. Matl. Struct., 20, 842-853. https://doi.org/10.1080/15376494.2012.677097
  27. Panda, S.K. and Mahapatra, T.R. (2014), "Nonlinear finite element analysis of laminated composite spherical shell vibration under uniform thermal loading", Meccanica, 49, 191-213. https://doi.org/10.1007/s11012-013-9785-9
  28. Patel, B.P., Ganapathi, M. and Makhecha, D.P. (2002), "Hygrothermal effects on the structural behavior of thick composite laminates using higher-order theory", Compos. Struct., 56, 25-34. https://doi.org/10.1016/S0263-8223(01)00182-9
  29. Rajasekaran, S. and Wilson, A.J. (2013), "Buckling and vibration of rectangular plates of variable thickness with different end conditions by finite difference technique", Struct. Eng. Mech., 46, 269-294. https://doi.org/10.12989/sem.2013.46.2.269
  30. Rao, V.V.S. and Sinha, P.K. (2004), "Bending characteristics of thick multidirectional composite plates under hygrothermal environment", J. Reinf. Plast. Compos., 23, 1481-1495. https://doi.org/10.1177/0731684404038595
  31. 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
  32. Shen, H.S. (2002), "Hygrothermal effects on the nonlinear bending of shear deformable laminated plates", J. Eng. Mech., 128, 493-496. https://doi.org/10.1061/(ASCE)0733-9399(2002)128:4(493)
  33. Shen, H.S. and Wang, Z.X. (2012), "Nonlinear vibration of hybrid laminated plates resting on elastic foundations in thermal environments", Appl. Math. Model., 36, 6275-6290. https://doi.org/10.1016/j.apm.2012.02.001
  34. 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
  35. Singh, B.N. and Verma, V.K. (2009), "Hygrothermal effects on the buckling of laminated composite plates with random geometric and material properties", J. Reinf. Plast. Compos., 28, 409-427. https://doi.org/10.1177/0731684407084991
  36. Tsai, S.W. and Hahn, H.T. (1980), Introduction to composite materials, Technomic, Westport, CT, USA.
  37. Wosu, S.N., Hui, D. and Daniel, L. (2012), "Hygrothermal effects on the dynamic compressive properties of graphite/epoxy composite material", Compos. Part B-Eng., 43, 841-855. https://doi.org/10.1016/j.compositesb.2011.11.045
  38. Zenkour, A.M. (2012), "Hygrothermal effects on the bending of angle-ply composite plates using a sinusoidal theory", Compos. Struct., 94, 3685-3696. https://doi.org/10.1016/j.compstruct.2012.05.033

Cited by

  1. A two-variable simplified nth-higher-order theory for free vibration behavior of laminated plates vol.182, 2017, https://doi.org/10.1016/j.compstruct.2017.09.041
  2. Hygrothermal Post-Buckling Analysis of Laminated Composite Beams vol.11, pp.1, 2015, https://doi.org/10.1142/s1758825119500091
  3. Nonlinear static analysis of laminated composite beams under hygro-thermal effect vol.72, pp.4, 2015, https://doi.org/10.12989/sem.2019.72.4.433