摘要
对基于有限单元法结构设计灵敏度分析的有限差分法、半解析法和解析法进行了评述；针对不同性质的设计变量，推导了杆件单元和块体等参单元设计灵敏度分析的解析公式，给出了解析求解劲度矩阵、荷载矩阵及单元内（应）力矩阵对设计变量导数的算法．算例表明，本文方法计算精度高，方法简单，计算工作量少．
The present paper contains a survey of design sensitivity analysis and a study on analytical structural sensitivity analysis based on the finite element method.The analytical derivatives of stiffness,load and element stress with respect to different kinds of design variables are given.The example provided shows that the procedure is effective and accurate.
出处
《河海大学学报（自然科学版）》
CAS
CSCD
1998年第5期44-49,共6页
Journal of Hohai University(Natural Sciences)
关键词
结构设计
灵敏度
解析公式
有限差分法
structural design sensitivity
analytical sensitivity analysis
finite difference method
semianalytical sensitivity analysis
isoparametric element
bar element
