拓扑优化
有限元法
拓扑(电路)
扩展有限元法
边界(拓扑)
形状优化
数学
应用数学
边界节点法
计算机科学
混合有限元法
数学优化
边界元法
数学分析
结构工程
工程类
组合数学
作者
Rut Su,Xiaoran Zhang,Sawekchai Tangaramvong,Chongmin Song
标识
DOI:10.1016/j.cma.2024.116966
摘要
This paper presents an efficient solution for designing the topology of structures that can withstand dynamic loads. The method, called image/stereolithography (STL)-based adaptive scaled boundary finite element (SBFE), is a novel approach to topology optimization (TO) that is particularly effective for designing two/three-dimensional structures. The SBFE-based TO algorithm adopts a bi-evolutionary structural optimization (BESO) approach, which utilizes image/STL-based procedures to automatically adapt meshes and minimize mechanical compliance under varying volume fractions in the time domain. A key advantage of this approach is that it uses images of TO responses, rather than specific error functions, to guide the automatic adaptive mesh schemes. The method also incorporates a quadtree/octree mesh refinement to address the problem of hanging nodes, ensuring fast mesh convergence during the optimization process. Furthermore, a high-order implicit time integration technique provides a close approximation of equivalent static loads, allowing for the accurate mapping of displacement fields under actual dynamic responses at each time step. The effectiveness of this method is demonstrated through a variety of numerical examples and benchmarks.
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