Geometric nonlinear formulation and discretization method for a rectangular plate undergoing large overall motions

被引：11
|
作者：
Liu, JY [1 ]
Hong, JZ [1 ]
机构：
[1] Shanghai Jiao Tong Univ, Dept Engn Mech, Shanghai 200030, Peoples R China
来源：
MECHANICS RESEARCH COMMUNICATIONS | 2005年 / 32卷 / 05期
基金：
中国国家自然科学基金;
关键词：
geometric nonlinear formulation; finite element method; assumed mode method;
D O I：
10.1016/j.mechrescom.2004.10.007
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
In the present paper, the geometric nonlinear formulation is developed for dynamic stiffening of a rectangular plate undergoing large overall motions. The dynamic equations, which take into account the stiffening terms, are derived based on the virtual power principle. Finite element method is employed for discretization of the plate. The simulation results of a rotating rectangular plate obtained by using such geometric nonlinear formulation are compared with those obtained by the conventional linear method without consideration of the stiffening effects. The application limit of the conventional linear method is clarified according to the frequency error. Furthermore, the accuracy of the assumed mode method is investigated by comparison of the results obtained by using the present finite element method and those obtained by using the assumed mode method. (c) 2004 Elsevier Ltd. All rights reserved.
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页码：561 / 571
页数：11
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