首页|Element-free Galerkin method for free vibration of rectangular plates with interior elastic point supports and elastically restrained edges
Element-free Galerkin method for free vibration of rectangular plates with interior elastic point supports and elastically restrained edges
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The element-free Galerkin method is proposed to solve free vibration of rectangular plates with finite interior elastic point supports and elastically restrained edges. Based on the extended Hamilton's principle for the elastic dynamics system, the dimensionless equations of motion of rectangular plates with finite interior elastic point supports and the edge elastically restrained are established using the element-free Galerkin method. Through numerical calculation, curves of the natural frequency of thin plates with three edges simply supported and one edge elastically restrained, and three edges clamped and the other edge elastically restrained versus the spring constant, locations of elastic point support and the elastic stiffness of edge elastically restrained are obtained. Effects of elastic point supports and edge elastically restrained on the free vibration characteristics of the thin plates are analyzed.
element free methodrectangular thin platesinterior elastic point supportselastically restrained edgesfree vibration
WANG Yan、WANG Zhong-min、RUAN Miao
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School of Sciences, Xi'an University of Technology, Xi'an 710054, P. R. China
School of Sciences, Chang'an University, Xi'an 710064, P. R. China
国家自然科学基金Natural Science Foundation of Education Department of Shaanxi Province
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