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Efficient optimal design of structures by generalized steepest descent programming
Author(s) -
Arora J. S.,
Haug E. J.
Publication year - 1976
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620100404
Subject(s) - method of steepest descent , descent (aeronautics) , mathematical optimization , convergence (economics) , sensitivity (control systems) , optimal design , gradient descent , descent direction , mathematics , algorithm , computer science , engineering , artificial neural network , artificial intelligence , statistics , aerospace engineering , electronic engineering , economics , economic growth
Abstract The purpose of this paper is to present refinements in a steepest descent algorithm for optimal design of structures and numerical experience that demonstrates its numerical efficiency. The algorithm is based on a state space optimization technique that was initially developed and applied to optimal control problems. Design constraints are divided into four distinct subsets, the special characteristics of which are exploited to improve computational efficiency of the algorithm. Some further improvements in structural analysis, design sensitivity analysis, and constrained steepest descent programming calculations are presented. Optimum designs for three test problems are obtained and convergence rates are compared with results presented in the literature.