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Multiple constraints in structural optimization
Author(s) -
Gellatly R. A.,
Helenbrook R. G.,
Kocher L. H.
Publication year - 1978
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.1620130207
Subject(s) - truss , mathematical optimization , mathematics , convergence (economics) , reduction (mathematics) , displacement (psychology) , least squares function approximation , engineering , psychology , statistics , geometry , structural engineering , estimator , economics , psychotherapist , economic growth
This paper considers the problem of solving the optimality criteria equations for a truss structure. A unique Newton‐Raphson method for optimizing redundant structures subject to multiple constrainsts on displacement and member sizes is presented. Both equality and inequality constraints are considered. The characteristics of this approach along with least squares and recursive techniques for the solution of the non‐linear optimality criteria equations are examined numerically for several sample problems. This new formulation offers the advantages of a reduction in the number of dependent variables, ease of incorporation of various types of constraints, and very rapid convergence.