Free Vibration Analysis of Plates on Winkler Elastic Foundation by Boundary Element Method

被引：2

作者：

Zhang, GuangPeng ^{[1
]}

Zou, TianXia ^{[1
]}

Sang, YaoHui ^{[1
]}

Kang, Ning ^{[1
]}

机构：

[1] Xian Univ Technol, Fac Mech & Precis Instrument Engn, Xian 710048, Peoples R China

来源：

OPTICAL, ELECTRONIC MATERIALS AND APPLICATIONS II | 2012年 / 529卷

关键词：

Plates on Elastic Foundation; Free Flexural Vibration of Plates; Boundary Element Method;

D O I：

10.4028/www.scientific.net/AMR.529.246

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

Plates are widely used in the machine tool structure. Based on the differential equations of flexural free vibration of a thin plate on Winkler elastic foundation, its dynamic fundamental solutions and the dynamic boundary integral equations are established. The solving methods of the corner point problems are given out. The quadratic elements are used to discretize the boundary integral equations and the receptance mtrix equations of a thin plate on Winkler elastic foundation are established. The fequency scanning method is used to obtain the natural frequencies of the thin plate on Winkler elastic foundation. Case studies showed the effectiveness of the proposed BEM dynamical analysis, which can be also used in the dymical analysis of joints in a machine tool structure.

引用

页码：246 / 251

页数：6

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