具有应力和厚度约束的平面弹性体结构拓扑优化设计

Topology Optimization Design of the Plain Elastic Continuum with Stress and Thickness Constraints

研究了具有应力和厚度约束的弹性平面体结构拓扑优化问题。这类问题不同于一般意义的拓扑优化问题 ,其优化结果不仅得到最优拓扑 ,而且得到最优形状和尺寸。建立了这类问题的数学模型 ,给出了求解策略 。

This paper studied the topology optimization design problem of the plain elastic continuum with stress and thickness constraints. Different from the general topology optimization design, both the optimal topology and the optimal shape and size can be obtained. Mathematical model for such problems was established in this paper and solving method was given. The examples indicate that the method is effective.