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Topology optimization of dynamic stress response reliability of continuum structures involving multi-phase materials

机译:拓扑应力响应的拓扑优化涉及多相材料的连续结构可靠性

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摘要

This paper proposes a methodology for maximizing dynamic stress response reliability of continuum structures involving multi-phase materials by using a bi-directional evolutionary structural optimization (BESO) method. The topology optimization model is built based on a material interpolation scheme with multiple materials. The objective function is to maximize the dynamic stress response reliability index subject to volume constraints on multi-phase materials. To solve the defined topology optimization problems, the sensitivity of the dynamic stress response reliability index with respect to the design variables is derived for iteratively updating the structural topology. Subsequently, an optimization procedure based on the BESO method is developed. Finally, a series of numerical examples of both 2D and 3D structures are presented to demonstrate the effectiveness of the proposed approach.
机译:本文提出了一种通过使用双向进化结构优化(BESO)方法来最大化涉及多相材料的连续结构的动态应力响应可靠性的方法。 拓扑优化模型基于具有多种材料的材料插值方案构建。 目标函数是最大化动态应力响应可靠性指数,这些指数受到多相材料的体积约束。 为了解决确定的拓扑优化问题,导出了用于迭代更新结构拓扑的设计变量的动态应力响应可靠性指数的灵敏度。 随后,开发了基于BESO方法的优化过程。 最后,提出了一系列2D和3D结构的数值例子以证明所提出的方法的有效性。

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