Nonlinear vibration of initially stressed hybrid composite plates on elastic foundations

被引：0
作者：
Ching-Long Wei
Chun-Sheng Chen
Chia-Sheng Shih
Yi-Chen Chang
机构：
[1] Lunghwa University of Science and Technology,Department of Mechanical Engineering
[2] Hwa Hsia Institute of Technology,Department of Mechanical Engineering
[3] National Taipei University of Technology,Department of Civil Engineering
来源：
Mechanics of Composite Materials | 2012年 / 48卷
关键词：
nonlinear vibration; initial stress; Pasternak foundation; Winkler foundation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Nonlinear vibration equations of motion based on the Mindlin plate theory are derived for a hybrid composite plate with an initial stress on elastic foundations. Using the governing equations derived, the nonlinear vibration behavior of an initially stressed hybrid composite plate on Pasternak and Winkler elastic foundations is studied. The initial stress is taken to be a combination of a pure bending stress and a tensile stress in the plane of the plate. The Galerkin method is employed to reduce the governing nonlinear partial differential equations to ordinary nonlinear differential equations, and the Runge–Kutta method is used to obtain the nonlinear frequencies. The linear frequency can be calculated by neglecting the nonlinear terms in the ordinary nonlinear differential equations. The results obtained reveal that the foundation stiffness and initial stresses lead to a drastic change in the nonlinear vibration behavior of the plate. The effects of various parameters on the nonlinear vibration of hybrid composite plates are investigated and discussed.
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页码：467 / 482
页数：15
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