基于修正巴兰金理论的结构拓扑优化方法

为了探索具有工程实用性的结构优化新方法,应用渐进结构优化方法(ESO)对结构进行基于应力的拓扑优化.通过对巴兰金强度理论的修正,用单轴拉压极限应力比和单元主应力衡量单元应力水平,建立了一种基于修正巴兰金理论的渐进结构优化方法.算例表明,该方法可用于二维和三维结构的拓扑优化.

Topology Optimization of Structure Based on Modified Balanjin Theory

In order to seek a new structural optimization method with engineering practicability,the evolutionary structural optimization(ESO) was applied to the topology optimization of structures based on a stress level.Through modifying the Balanjin theory,the stress level of elements was measured by the ratio of ultimate uniaxial tension to compression stresses and the principal stresses of elements.As a result,an evolutionary structural optimization method based on the modified Balanjin theory was proposed.The numerical results show that the proposed method can be used for the topology optimization of 2-D and 3-D structures effectively.