Exact analytical solutions for some popular benchmark problems in topology optimization II: three-sided polygonal supports

Exact analytical solutions for some popular benchmark problems in topology optimization II: three-sided polygonal supports
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DOI:
10.1007/s00158-007-0093-7
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发表时间:
2007-02
影响因子:
3.9
通讯作者:
T. Lewiński;G. Rozvany
T. Lewiński;G. Rozvany
中科院分区:
工程技术2区
文献类型:
--
作者:
T. Lewiński;G. Rozvany

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在早期的论文(Rozvany,Struct Optim 15:42-48,1998)中,第二作者总结了拓扑优化中一些流行的基准问题的已知解析解。在这篇论文中,以及在随后的一些论文中,进一步精确的最优拓扑结构推导出最小重量,应力控制桁架,负载和支撑条件,经常使用的基准例子中的数值方法在拓扑优化。
In an earlier paper (Rozvany,Struct Optim15:42–48, 1998), the second author summarized known analytical solutions for some popular benchmark problems in topology optimization. In this, and in some subsequent papers, further exact optimal topologies are derived for least-weight, stress-controlled trusses, with load and support conditions that are frequently used in benchmark examples for numerical methods in topology optimization.