New analytical benchmarks for topology optimization and their implications. Part I: bi-symmetric trusses with two point loads between supports

作者：Sokol Tomasz^*; Rozvany George I N

来源：Structural and Multidisciplinary Optimization, 2012, 46(4): 477-486.

DOI：10.1007/s00158-012-0786-4

• Exact topology optimization
• Michell trusses
• Optimal regions
• Symmetry
• Stress constraints

Extending some results by Sok and LewiA%26quot;ski (Struct Multidisc Optim 42:835-853, 2010), the optimal topology of bi-symmetric trusses with two symmetrically placed pointloads is determined analytically, and verified by highly accurate numerical calculations. It is rather remarkable that Michell%26apos;s best-known classical solution had to wait over hundred years for its generalization from one to two point loads. Some implications of these solutions, including properties of so-called O-regions, are also discussed.

• 出版日期2012-10