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.
出处
《力学与实践》
CSCD
北大核心
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)
关键词
固有振动
广义协调元
固有频率
子空间迭代法
ABAQUS
free vibration, generalized conforming element, natural frequency, sub-space iteration method,ABAQUS