广义协调厚薄板通用单元的固有振动分析  

FREE VIBRATION ANALYSIS FOR PLATES USING GENERALIZED CONFORMING THICK/THIN TRIANGULAR ELEMENT

作　　者：曹金凤[1] 姜耀东[1] 韩志茹[1] 范玲玲[2] 孙磊[1] 

机构地区：[1]中国矿业大学(北京)力学与建筑工程学院,北京100083 [2]石家庄铁道学院土木工程分院,石家庄050043

出　　处：《力学与实践》2007年第3期30-35,共6页Mechanics in Engineering

基　　金：国家自然科学基金重大项目(50490272);国家重点基础研究发展规划(973)项目(2002CB412705);国家自然科学基金项目(10572147);教育部创新团体计划项目(IRT0408);教育部重大科技基金项目(10427)

摘　　要：研究了厚薄板通用三角形广义协调单元TCGC-T9的固有振动特性．通过编制程序,采用子空间迭代法求得不同板厚的前5阶固有频率值,并将计算结果与理论解和有限元软件ABAQUS的结果进行比较．结果表明:TCGC-T9单元在固有振动分析方面收敛速度快,数值稳定性好、实用性强(无需区分厚板和薄板)．The free vibration property of the generalized conforming thick/thin element TCGC-T9 is studied in this paper. The first five natural frequencies with different plate thickness are obtained using the sub-space iteration method. By comparing the results with those obtained by ABAQUS and the theoretical solution, it can be concluded that the TCGC-T9 element enjoys the following advantages： good convergence, high numerical stability and excellent applicability （valid for both thick or thin plates） in analyzing free vibration of plate.

关 键 词：固有振动 广义协调元 固有频率 子空间迭代法 ABAQUS 

分 类 号：O241.6[理学—计算数学]