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Optimum design of hypertatic structures
Author(s) -
Majid K. I.,
Anderson D.
Publication year - 1972
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.1620040410
Subject(s) - statically indeterminate , separable space , deflection (physics) , computation , minimum weight , mathematics , mathematical optimization , linear programming , piecewise linear function , piecewise , linear elasticity , structural engineering , computer science , algorithm , mathematical analysis , engineering , finite element method , combinatorics , physics , optics
The task of optimum design of structures is one that involves non‐linear Programming. This is particularly the case when deflection as well as stress limitation are imposed as design criteria. In this paper a Fundamental approach is presented for the minimum weight design of statically indeterminate elastic structure subject to non‐linear deflection and stress constrains. The matrix force method is adopted to formulate the problem. The constraints thus derived prove to have separable variables and therefore can be linearized in a piecewise manner. The computation aspects concerning the restricted entry in to the simplex tableau are briefly discussed and illustrative examples are given to verify the validity of the proposed method.