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Homotopy perturbation solution and periodicity analysis of nonlinear vibration of thin rectangular functionally graded plates
2014
Acta Mechanica Solida Sinica
In this paper nonlinear analysis of a thin rectangular functionally graded plate is formulated in terms of von-Karman's dynamic equations. Functionally Graded Material (FGM) properties vary through the constant thickness of the plate at ambient temperature. By expansion of the solution as a series of mode functions, we reduce the governing equations of motion to a Duffing's equation. The homotopy perturbation solution of generated Duffing's equation is also obtained and compared with numerical
doi:10.1016/s0894-9166(14)60031-8
fatcat:tg3vd6fggreyxjafvk5la5tvmi