摘要
论文提出了一种桁架结构在多工况作用下满足平衡条件的拓扑优化设计方法。在该方法中,以杆件内力为设计变量,结构重量为目标函数,将拓扑优化模型描述为一个非光滑的数学规划问题,而后通过变量代换将其转化为光滑的非线性规划问题,进而将原问题的解转化为几个线性规划问题的解。方法保证得到两工况下的精确最优解,多工况(大于等于3)下的近似最优解。几个工程算例结果说明了该方法的合理性与有效性。
The paper presents an effective method of topology optimization for truss structures under multiple loading conditions, by which the member force and structural weight are considered as a design variable and an objective function respectively, while the topology optimization is described as a non-smoothing programming problem at first, and then, transfromed into a smoothing one by means of the variable transformation. Finally, the so- lution of the primary problem is replaced by the solution of several subproblems so that the accurate solution of the problem in the case of two loadings and the approximate solution of the problem in the case of more than three loadings are ensured. Examples show that the method is effective and reasonable.
出处
《西安电子科技大学学报》
EI
CAS
CSCD
北大核心
1992年第1期41-49,共9页
Journal of Xidian University
关键词
拓扑优化
多工况
变量代换
结构
topology optimization
multiple loading conditions
variable transformation
structural form
linear programming
