Sequential optimal truss generator for frequency ranges
type: Item
instance of: scholarly article
title: Sequential optimal truss generator for frequency ranges
zbMATH Open document ID: 0633.73096
DOI: 10.1016/0045-7825(88)90125-9
author: Tsuneyoshi Nakamura
author: M. Ohsaki
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1988-01-01T00:00:00Z
review text: The concept of an ordered set of optimum designs is introduced here and all the design variables and behavioral variables belonging to the optimum designs are represented by successive piecewise Taylor series. A most natural, direct, and efficient way of generating or sweeping out all the optimum designs sequentially in the set is devised. The procedure is started with the eigenvalue analysis on the truss defined by the set of all the minimum cross-sectional areas. Neither any further eigenvalue analysis nor application of any optimization technique is required in the proposed procedure. It is demonstrated that the proposed method is efficient not only for an ordered set of optimum designs of a large truss associated with the single lowest eigenvector but also for that associated with multiple lowest eigenvectors.
Mathematics Subject Classification ID: 74P99
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 49K40
zbMATH DE Number: 4031184
zbMATH Keywords: sequential optimal truss generator
zbMATH Keywords: bi-modal formulation
zbMATH Keywords: ordered set of optimum designs
zbMATH Keywords: successive piecewise Taylor series
zbMATH Keywords: eigenvalue analysis
zbMATH Keywords: minimum cross-sectional areas
zbMATH Keywords: single lowest eigenvector
zbMATH Keywords: multiple lowest eigenvectors
MaRDI profile type: Publication
full work available at URL: 0045-7825(88)90125-9
OpenAlex ID: W2069195565
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description: scientific article; zbMATH DE number 4031184