Topology and detail geometry optimization for beam structures using homotopy modeling

✍ Scribed by S. Sakata; F. Ashida; M. Zako

• Book ID: 104267042
• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 525 KB
• Volume: 191
• Category: Article
• ISSN: 0045-7825
• DOI: 10.1016/s0045-7825(02)00321-3

✦ Synopsis

This paper describes a novel design concept and an algorithm for topology and detail geometry design of a beam structure. Topology, layout, cross-sectional shape and size of each element are treated as a design variable. Homotopy theory is used to classify a topological type of a beam structure. In the design concept, not topology itself of a structure but a detail geometry design space defined by topology is transformed. By introducing the novel concept of an algebraic topology expression and the topology metamorphosis algorithm, active topology transformation becomes possible. A numerical example of topology, layout and cross-sectional optimization of reinforcement for a beam structure is illustrated.