用动态有限元法计算加筋板固有频率  

Calculating natural frequency of sti ffened plate by finite dynamic element method

作　　者：王静[1] 赵德有[2] 郑治国[1] 

机构地区：[1]天津军事交通学院基础部,天津300161 [2]大连理工大学船舶工程系,辽宁大连116024

出　　处：《大连理工大学学报》2001年第1期90-93,共4页Journal of Dalian University of Technology

摘　　要：采用含有频率变量的形函数代替静态形函数求解结构的振动问题. 在Przemieniecki动态 有限元概念的基础上,分别构造了Timoshenko梁单元和任意四边形板单元的动态形函数阵并 推得其刚度阵和质量阵. 应用动态有限元法计算加筋板的固有振动频率,结果表明动态有限 元法比一般有限元法精度高,更适用于求解结构的动力响应问题.Shape functions with frequency are adopted in this paper to replace the static s hape functions to resolve vibration problems of structures. On the basis of Prze mieniecki finite dynamic elements concept, dynamic shape functions, dynamic stif fness and mass matrices of Timoshenko beam element and arbitrary quadrilateral e lement of plate are respectively calculated. Analysis programme of finite dynami c elements about stiffened plate is worked out. Results of the examples show tha t computation accuracy and efficiency are improved by finite dynamic elements me thod. And it is more applicable to resolve kinetic response problems of structur es.

关 键 词：动态有限元 动态形函数 梁单元 板单元 加筋板 固有频率 振动 船舶 

分 类 号：U661.44[交通运输工程—船舶及航道工程]