Buckling and Pre Stressed Dynamics Analysis of Laminated Composite Plate with Different Boundary Conditions

  • Widad I. Majeed Department of Mechanical Engineering/ University of Baghdad
  • Zainab Abdul Kareem Abed Department of Mechanical Engineering/ University of Baghdad
Keywords: Buckling load, different boundary conditions, composite laminated plate, Free vibration, Rayleigh-Ritz method.


Critical buckling and natural frequencies behavior of laminated composite thin plates subjected to in-plane uniform load is obtained using classical laminated plate theory (CLPT). Analytical investigation is presented using Ritz- method for eigenvalue problems of buckling load solutions for laminated symmetric and anti-symmetric, angle and cross ply composite plate with different elastic supports along its edges. Equation of motion of the plate was derived using principle of virtual work and solved using modified Fourier displacement function that satisfies general edge conditions. Various numerical investigation were studied to exhibit a convergence and accuracy of the present solution for considering some design parameters such as edge conditions, aspect ratio, lamination angle, thickness ratio, orthotropic ratio, the results obtained gives good agreement with those published by other researchers.



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Zhong, Hongzhi, and Chao Gu. "Buckling of symmetrical cross-ply composite rectangular plates under a linearly varying in-plane load." Composite structures Vol. 80 No.1 (2007): PP. 42-48.‏

Shufrin, I., O. Rabinovitch, and M. Eisenberger. "Buckling of symmetrically laminated rectangular plates with general boundary conditions–A semi analytical approach." Composite Structures Vol. 82 No.4 (2008) PP: 521-531.‏

Kuo, Shih-Yao, and Le-Chung Shiau. "Buckling and vibration of composite laminated plates with variable fiber spacing" Composite Structures Vol. 90 No.2 (2009) PP: 196-200.‏

Kim, Seung-Eock, Huu-Tai Thai, and Jaehong Lee. "Buckling analysis of plates using the two variable refined plate theory."Thin-Walled Structures Vol. 47 No. 4 (2009) PP: 455-462.‏

Kumar Panda, Sarat, and L. S. Ramachandra. "Buckling and postbuckling behavior of cross-ply composite plate subjected to nonuniform in-plane loads." Journal of engineering mechanics Vol. 137 No. 9 (2011) PP: 589-597.‏

Carrera, E., et al. "Effects of in-plane loading on vibration of composite plates." Shock and Vibration Vol. 19 No. 4 (2012) PP: 619-634.

Thai, Huu-Tai, and Dong-Ho Choi. "A simple first-order shear deformation theory for laminated composite plates." Composite Structures Vol. 106 (2013) PP: 754-763.

Sayyad, ATTESHAMUDDIN S., and Y. M. Ghugal. "Buckling and free vibration analysis of orthotropic plates by using exponential shear deformation theory." Latin American Journal of Solids and Structures Vol. 11 No. 8 (2014) PP: 1298-1314.

Firas Hamzah Taya., ‘‘Buckling and Vibration Analysis of Laminated Composite Plate’’, M.Sc. Thesis, University of Baghdad, Mech. Dep. 2014.

Mantari, J. L., and F. G. Canales. "Free vi-bration and buckling of laminated beams via hybrid Ritz solution for various penalized boundary conditions." Composite Structures Vol. 152 (2016) PP: 306-315

Khov, Henry, Wen L. Li, and Ronald F. Gibson. "An accurate solution method for the static and dynamic deflections of orthotropic plates with general boundary conditions." Composite Structures Vol. 90 No. 4 (2009) PP: 474-481.‏

Li, Wen L. "Vibration analysis of rectangular plates with general elastic boundary supports." Journal of Sound and Vibration Vol. 273 No. 3 (2004) PP: 619-635

Li, Wen L. "Free vibrations of beams with general boundary conditions." Journal of Sound and Vibration Vol. 237 No. 4 (2000) PP: 709-725.‏

Li, W. L., and M. Daniels. "A Fourier series method for the vibrations of elastically restrained plates arbitrarily loaded with springs and masses." Journal of Sound Vibration Vol. 252 (2002) PP: 768-781

Reddy, Junuthula Narasimha. Mechanics of laminated composite plates and shells: theory and analysis. CRC press, 2004.

How to Cite
Majeed, W., & Abed, Z. (2019). Buckling and Pre Stressed Dynamics Analysis of Laminated Composite Plate with Different Boundary Conditions. Al-Khwarizmi Engineering Journal, 15(1), 46- 55. https://doi.org/10.22153/kej.2019.07.002