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Optimum design of laminated fibre composite plates
Author(s) -
Schmit L. A.,
Farshi B.
Publication year - 1977
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.1620110403
Subject(s) - orthotropic material , minimum weight , constraint (computer aided design) , buckling , series (stratigraphy) , stiffness , structural engineering , convergence (economics) , composite number , mathematics , sequence (biology) , stability (learning theory) , mathematical optimization , computer science , algorithm , finite element method , engineering , geometry , paleontology , genetics , machine learning , economics , biology , economic growth
A method is presented for the minimum weight optimum design of laminated fibre composite plates, subject to multiple inplane loading conditions, which includes stiffness, strength and elastic stability constraints. The buckling analysis is based on an equivalent orthotropic plate approach leading to two uncoupled eigenproblems per load condition. Overall computational efficiency is achieved by using constraint deletion techniques in conjunction with Taylor series approximations for the constraints retained. The optimization algorithm used, namely the method of inscribed hyperspheres, is a sequence of linear programs technique which exhibits rapid convergence in this application. Several example problems are given to demonstrate that the method presented offers an efficient and practical optimum design procedure for the fundamental and recurring problem treated.