论文标题
基于虚拟位移的不连续布局优化
Virtual Displacement based Discontinuity Layout Optimization
论文作者
论文摘要
不连续布局优化（DLO）是一种相对较新的上限限制分析方法。与经典的拓扑优化方法相比，旨在通过考虑其自重，建筑成本或轴承能力来获得结构的最佳设计，DLO通过最小化耗散能量来优化结构的故障模式和约束。在这项工作中，我们提出了一种经过修改的DLO算法，其中包含DLO的所有优势。它指的是基于虚拟位移的不连续布局优化（VDLO）。 VDLO将负载结构的应力状态作为快照，并相应地提供了最佳故障模式，从而极大地扩展了DLO的应用潜力。数值示例表明VDLO的有效性和灵活性。它被认为是基于元素/节点框架中其他数值方法的高度有希望的补充工具。
Discontinuity layout optimization (DLO) is a relatively new upper bound limit analysis method. Compared to classic topology optimization methods, aimed at obtaining the optimum design of a structure by considering its self-weight, building cost or bearing capacity, DLO optimizes the failure pattern of the structure under specific loading conditions and constraints by minimizing the dissipation energy. In this work, we present a modified DLO algorithm that contains all of the advantages of DLO. It is referred to virtual displacement-based discontinuity layout optimization (VDLO). VDLO takes the stress state of a loaded structure as a snapshot and correspondingly provides the optimum failure pattern, which greatly extends the application potential of DLO. Numerical examples indicate the effectiveness and flexibility of VDLO. It is regarded as a highly promising supplemental tool for other numerical methods in element-/node-based frameworks.
