Element-free Galerkin method for free vibration of rectangular plates with interior elastic point supports and elastically restrained edges 被引量：1

Element-free Galerkin method for free vibration of rectangular plates with interior elastic point supports and elastically restrained edges

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摘要 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. 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.

作者王砚王忠民阮苗

机构地区 School of Sciences School of Sciences

出处《Journal of Shanghai University(English Edition)》 CAS 2010年第3期187-195,共9页 上海大学学报（英文版）

基金 Project supported by the National Natural Science Foundation of China (Grant No.10872163) the Natural Science Foundation of Education Department of Shaanxi Province (Grant No.08JK394)

关键词 element free method rectangular thin plates interior elastic point supports elastically restrained edges free vibration element free method rectangular thin plates interior elastic point supports elastically restrained edges free vibration

分类号 O324 [理学—一般力学与力学基础]

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