摘要
通过将单元刚度矩阵和质量矩阵对设计变量求导 ,给出了结构固有频率灵敏度的解析方法 ,采用固有频率灵敏度计算程序和有限元计算程序混合编程方法 ,开发了杆梁板组合结构的固有频率灵敏度解析计算程序 .算例结果表明 ,该方法给出的灵敏度具有精度高 ,使用方便 。
Based on finite element formulae, the method of how to get the natural frequency sensitivity is given in the paper, through calculating the differentials of stiffness matrix and mass matrix to design variable; and we had developed the program for calculating nature frequency sensitivity of the structure composing of trusses、beams、plates, by mixing up the program for counting the structure's natural frequency with the program for counting its frequency sensitivity. The examples indicate that the method is of high-precision, convenience and practicability.
出处
《华北水利水电学院学报》
2001年第2期27-29,共3页
North China Institute of Water Conservancy and Hydroelectric Power
基金
机械工业部基金项目 (97JA0 10 6 )
关键词
有限元法
固有频率
解析法
杆
梁
板
finite element method
natural frequency
analytical method
sensitivity
