A shape optimization method based on implicit differentiation and node removal techniques

P. Y. Shim, S. Manoochehri

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

This paper presents a methodology for the generation of optimal shapes of structural members. This work is based on altering the finite element model of the structure by removing or restoring nodes to generate optimum designs subject to constraints on maximum stress value and maintenance of connectivity in the model. A sequential linear programming algorithm is utilized to determine optimum positions of the boundary nodes. Based on the results, at each iteration a binary decision is performed to determine which nodes should be removed or restored. A correction factor is used in this study to compensate for the error caused by linearization of the stress function.

Original languageEnglish
Pages (from-to)154-157
Number of pages4
JournalJournal of Mechanical Design
Volume118
Issue number1
DOIs
StatePublished - Mar 1996

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