Title: TOPOLOGY OPTIMIZATION OF PLANE CONTINUUMWITH TOPOLOGY ANALYSIS
Abstract: To completely avoid producing elements jointed at their corner nodes and checkerboard patterns,which frequently occur when the topology optimization of plane continuum is studied,the theory of topology analysis of plane continuum in topology optimization process and the simple algorithm for programming are studied.According to algebraic topology theory,the boundary of elements and plane continuum are operated as a one dimensional complex.By use of the adjacency vector in graph theory,the structural topology is described and the topological operation is achieved on a computer.By above,the structural topological feature in the evolutionary process is gained.These methods are effcient and reliable.Under topology constraints,according to the results of stress analysis,by deleting elements and moving nodes at the boundary,more satisfactory results can be gained by using a few numbers of elements and iterations.To demonstrate the efficiency of these methods,solutions including some well known classical problems are presented.
Publication Year: 2001
Publication Date: 2001-01-01
Language: en
Type: article
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