Analysis of optimality criteria and gradient projection methods for optimal structural design

DOI10.1016/0045-7825(80)90093-6zbMath0463.73088OpenAlexW2008816290MaRDI QIDQ1153750

Jasbir S. Arora

Publication date: 1980

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(80)90093-6

zbMATH Keywords

optimality conditionsstep size selectionconvergence criteriongradient projection conceptidentification of dependent design sensitivity vectors of constraint functionsoptimal design of structural and mechanical systems

Mathematics Subject Classification ID

Numerical methods involving duality (49M29) Numerical optimization and variational techniques (65K10) Numerical methods based on nonlinear programming (49M37) Finite element methods applied to problems in solid mechanics (74S05) Optimization problems in solid mechanics (74P99) Methods of reduced gradient type (90C52)

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Cites Work

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• Design sensitivity analysis of elastic mechanical systems
• Optimal design of frames with substructuring
• Efficient optimal design of structures by generalized steepest descent programming
• Comparison of Optimality Criteria Algorithms for Minimum Weight Design of Structures
• A computational method for optimal structural design. I. Piecewise uniform structures

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