基于应力和刚度的连续体渐进结构优化

近年来,渐进结构优化已发展成工程优化的一种重要方法。目前,渐进结构优化研究多集中在对单约束条件下优化方法的研究,对多约束条件下优化研究较少。为了更好地模拟实际工况,本文在充分分析了有限元理论和材料的弹性力学关系的基础上,找出约束之间的本质联系,提出了基于应力、刚度双重约束渐进结构优化方法。通过经典算例进行验证,优化结果表明了该方法的可行性与有效性。同时,该方法也为其它多约束结构优化提供了一定的参考。

Evolutionary Structural Optimization of Continuum Structure Based on Constraints of Stress and Stiffness

Recently,the ESO(evolutionary structural optimization) becomes an important method in the engi- neering optimization.Most investigations focus on the method with single-constrained,and few study on the multi-constrained optimization.In order to simulate the real operation condition,a new double-constrained method of ESO is presented based on the stress and the stiffness through the analysis of relation between the el- ement finite and the elasticity.A classical example shows that the proposed method is valid and effective for ESO.Also,this method can be references to other multi-constrained structure optimization.