Nonlinear free vibration of pre- and post-buckled FGM plates on two-parameter foundation in the thermal environment

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• 作者：Maciej Taczała^a ; ^{maciej.taczala@zut.edu.pl" class="auth_mail" title="E-mail the corresponding author} ; Ryszard Buczkowski^b ; ^{rbuczkowski@ps.pl" class="auth_mail" title="E-mail the corresponding author} ; Michal Kleiber^c ; ^{mkleiber@ippt.pan.pl" class="auth_mail" title="E-mail the corresponding author}
• 关键词：FGM plates ; Two-parameter elastic foundation ; Nonlinear free vibration ; Finite element method
• 刊名：Composite Structures
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：137
• 期：Complete
• 页码：85-92
• 全文大小：1315 K

文摘

The geometrically nonlinear free vibration of functionally graded thick plates resting on the elastic Pasternak foundation is investigated. The motion equations are derived applying the Hamilton principle. We consider the first order shear deformation plate theory (FSDT), in which the modified shear correction factor is required. A 16-noded Mindlin plate element of the Lagrange family which is free from shear locking due to small thickness of the plate used. The material properties are assumed to be temperature-dependent and expressed as a nonlinear function of temperature. Because the FGM plates are not homogeneous, the basic equations are calculated in the equivalent physical neutral surface which differs from the geometric mid-plane. In the pre-buckling range natural frequencies decrease ultimately reaching zero for critical stress in the bifurcation point.