Single and multiobjective structural optimization in discrete-continuous variables using simulated annealing. (English) Zbl 0855.73052

Bennage, W. A.; Dhingra, A. K.

Int. J. Numer. Methods Eng. 38, No. 16, 2753-2773 (1995).

A design procedure for truss construction is proposed integrating combinatorial and continuous optimization methods. An optimal structure is sought by means of simulated anealing (SA) algorithm (three versions are tested). The optimal values of continuous variables (lower level of design) are found by the SA or by the method of feasible directions. Some technical criteria for the truss construction as well as a multiplicative composition of several criteria are used as objective functions to formulate the optimization problems. As illustration of the proposed approach, some single and multiobjective optimization problems are discussed.

Reviewer: A.Žilinskas (Vilnius)

MSC:

74P99	Optimization problems in solid mechanics
74S30	Other numerical methods in solid mechanics (MSC2010)
74K10	Rods (beams, columns, shafts, arches, rings, etc.)

Keywords:

truss construction; method of feasible directions; multiplicative composition; objective functions

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