Topology optimization of geometrically nonlinear structures using an evolutionary optimization method
Topology optimization of geometrically nonlinear structures using an evolutionary optimization method
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DOI：
10.1080/0305215x.2017.1418864
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发表时间：
2018-01-01
影响因子：
2.7
通讯作者：
Wildman, Ricky
中科院分区：
文献类型：
--
作者：
Abdi, Meisam;Ashcroft, Ian;Wildman, Ricky
基于等值线/等值面和扩展有限元方法的拓扑优化是前人研究中发展起来的一种进化优化方法，其目的是生成适用于添加剂制造的高分辨率拓扑优化设计。传统的拓扑优化方法需要在优化后进行额外的后处理，以生成具有清晰定义的平滑边界的可制造拓扑。ISO-XFE旨在通过使用结构性能标准和扩展有限元方法(XfeM)的等值来定义边界，从而消除这种耗时的后处理阶段。本文进一步发展了Iso-Xfem方法，使大变形几何非线性结构的拓扑优化成为可能。这是通过实施完全拉格朗日有限元公式和定义适合于优化问题的目标函数的结构性能标准来实现的。比较了几何非线性试验用例实现线性建模和非线性建模的等×有限元解，研究了非线性建模在几何非线性结构拓扑优化中的适用性。
The topology optimization using isolines/isosurfaces and extended finite element method (Iso-XFEM) is an evolutionary optimization method developed in previous studies to enable the generation of high-resolution topology optimized designs suitable for additive manufacture. Conventional approaches for topology optimization require additional post-processing after optimization to generate a manufacturable topology with clearly defined smooth boundaries. Iso-XFEM aims to eliminate this time-consuming post-processing stage by defining the boundaries using isovalues of a structural performance criterion and an extended finite element method (XFEM) scheme. In this article, the Iso-XFEM method is further developed to enable the topology optimization of geometrically nonlinear structures undergoing large deformations. This is achieved by implementing a total Lagrangian finite element formulation and defining a structural performance criterion appropriate for the objective function of the optimization problem. The Iso-XFEM solutions for geometrically nonlinear test cases implementing linear and nonlinear modelling are compared, and the suitability of nonlinear modelling for the topology optimization of geometrically nonlinear structures is investigated.