摘要
针对超大规模变量结构优化中的敏度求解问题,深入系统地研究了全解析法高效位移敏度求解理论,推导了壳单元微分刚度矩阵的解析表达式,引入虚位移法解决了结构刚度矩阵求逆运算,进而给出了位移敏度全解析表达式。采用科学高效的程序流程组织方法在HAJIF系统平台上开发了超大规模变量结构位移敏度快速求解模块。与差分法和半解析法的对比结果表明:本文算法敏度结果具有较高的可靠性;超大规模变量位移敏度算例测试表明本文算法效率约为差分法的70余倍,敏度结果一致性较好,所开发的模块能够高效可靠的解决超大规模变量位移敏度求解问题。
The sensitivity analysis plays a critical role in super large-scale optimization problem. The analyticmethod for sensitivity analysis has been investigated deeply, and the analytical expression of differential stiffnessmatrix is derived for shell elements and the displacement constraints sensitivity is obtained by using virtualdisplacement method. The method was programmed based on the HAJIF system with FORTRAN language.Validation examples showed that the proposed method has a high reliability in solving super large-scale optimizationproblem, and the efficiency of the present method is almost 70 times of that of the differential method.
出处
《机械科学与技术》
CSCD
北大核心
2017年第5期816-820,共5页
Mechanical Science and Technology for Aerospace Engineering
关键词
超大规模变量优化
解析法
微分刚度矩阵
HAJIF
super large-scale optimization
analytic method
differential stiffness matrix
HAJIF
