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

摘要

In an earlier paper (Rozvany, Struct Optim 15:42-48, 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.