期刊论文

Reciprocal programming method for structural lightweight topology optimization with local performance constraints

中文

计算力学学报

1007-4708

2021

38

04

479-486

10.7511/jslx20210515409

国家自然科学基金（11672103;11872080）； 北京市自然科学基金（3192005）资助项目；

本校为其他机构

瞄准应力和疲劳两类局部性能约束的结构拓扑优化问题,概括为分部、化整和集成3种解法和交融的3种解法。类比应力约束推导了疲劳寿命情况,一为满疲劳公式,二为疲劳寿命约束全局化的结构寿命概念和相应解法。在倒寿命概念下,实现了疲劳寿命约束与应力约束的规格统一。补充和完整了已有的局部性能约束解法,属于单目标模型,有分部、化整、集成三种。基于互逆规划理论的定理2,提出了交融优化解法,是单目标与多目标模型的交替迭代,有分部-集成、化整-集成和集成-集成三种。上述6种解法皆基于ICM方法进行建模。算例表明,新提出的交融优化方法提高了求解效率。

The structural topology optimization problem targeting the local performance constraints on stress and fatigue is summarized as three kinds of solutions:partition,globalization and integration methods,and three blending optimization methods.Fatigue life conditions are derived by analogy with stress constraints;one is full fatigue formula;the other is the concept of structural life with the globalization of fatigue life constraints and corresponding solutions.Under the concept of reverse life,the specification of fatigue life constraint and stress constraint is unified.The existing methods solv...