求解带圆孔的有限宽板的动态应力集中系数的迭加积分法  

A Method to Solve the Dynamic Stress Concentration Factors for a Circular Hole in a Finite-Width Strip

作　　者：宋小林[1] 王启智[1] 

机构地区：[1]四川大学土木工程及应用力学系,成都610065

出　　处：《机械科学与技术》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

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.

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 

分 类 号：O343.4[理学—固体力学]