摘要
基于有限元分析,先求出系统在单位脉冲或者单位阶跃的作用下的响应 (即动应力集中系数 ),进而利用离散卷积或Duhamel积分,就可以方便准确地得到系统在同一类型的任意荷载下的响应。对同一构形结构不必对每种荷载都反复进行有限元分析,极大地节省了时间,而且可以得到非常准确的结果。
Based on ANSYS software with finite element method (FEM), we first derived the unit impulse response and unit step response, and the linear elastic dynamic stress concentration factor (DSCF) for a circular hole in a compression finite width strip. Then we use the unit impulse response to make convolution integral with the load of the same type to get the whole response, or the unit step response, and make Duhamel integral with load. Both theory and calculation prove the precision of the superposition integral method. In the test of dynamic stress concentration factor, especially in dealing with the test data for the same set of specimens, this method can avoid the repeated numerical calculation effectively, reduce the calculation and save a lot of time. In addition, this method has good accuracy.
出处
《机械科学与技术》
CSCD
北大核心
2005年第1期94-97,共4页
Mechanical Science and Technology for Aerospace Engineering
基金
国家自然科学基金项目(40172049)资助
关键词
动应力集中系数
迭加积分法
卷积
Duhamel积分
有限元分析
Dynamic stress concentration factor (DSCF)
Superposition integral method
Convolution integral
Duhamel integral
Finite element method (FEM)