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Optimum structural design with stability constraints
Author(s) -
Khot N. S.,
Venkayya V. B.,
Berke L.
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.1620100510
Subject(s) - truss , minimum weight , stability (learning theory) , eigenvalues and eigenvectors , finite element method , buckling , context (archaeology) , mathematics , mathematical optimization , displacement (psychology) , relation (database) , structural engineering , optimal design , computer science , engineering , psychology , paleontology , statistics , physics , database , machine learning , psychotherapist , biology , quantum mechanics
This paper presents an optimization method based on optimality criterion for minimum weight of structures with stability requirements. A recurrence relation is derived and the method is explained in the context of the displacement method of finite element analysis. The incipient buckling of the structure is determined by a linear eigenvalue solution. The method is programmed for trusses and frames. Illustrative problems are given to show the applicability of the method of design of structures with a large number of design variables.