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A computational method for optimal structural design II: Continuous problems
Author(s) -
Haug E. J.,
Pan K. C.,
Streeter T. D.
Publication year - 1975
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.1620090312
Subject(s) - discretization , method of steepest descent , mathematical optimization , mathematics , minimum weight , boundary value problem , extension (predicate logic) , descent direction , gradient descent , descent (aeronautics) , buckling , computer science , structural engineering , mathematical analysis , engineering , artificial neural network , statistics , machine learning , programming language , aerospace engineering
A method for solving structural design problems that allows a continuous distribution of material along structural elements is presented. The method is an extension of the generalized steepest descent method presented in Reference 1. Inequality constraints on design variables, displacement, natural frequency, and buckling are explicitly treated and a minimum weight cost function is employed. A steepest descent method for boundary‐value state equations is developed and a computational algorithm is given. Several example problems in minimum weight structural design are solved and compared with results obtained by discretization techniques.