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




New analytical benchmarks for topology optimization and their implications. Part I: bi-symmetric trusses with two point loads between supports - Download this document for free, or read online. Document in PDF available to download.

Structural and Multidisciplinary Optimization

, Volume 46, Issue 4, pp 477–486

First Online: 17 March 2012Received: 03 December 2011Revised: 15 February 2012Accepted: 22 February 2012

Abstract

Extending some results by Sokół and Lewiński 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’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.

KeywordsExact topology optimization Michell trusses Optimal regions Symmetry Stress constraints  Download fulltext PDF



Author: Tomasz Sokół - George I. N. Rozvany

Source: https://link.springer.com/







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