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

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.


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


[1] Optimization: Theory and Applications, 2nd edn, Wiley, New York, (1984).
[2] and , Engineering Optimization: Methods and Applications, Wiley, New York, (1983).
[3] Metropolis, J. Chem. Phys. 21 pp 1087– (1953)
[4] Kirkpatrick, Science 220 pp 671– (1983)
[5] Bohachevsky, Technometrics 28 pp 209– (1986)
[6] Elperin, Int. j. numer. methods eng. 26 pp 815– (1988)
[7] Balling, J. Struct. Eng. 117 pp 1780– (1991)
[8] and , ’Optimal design of mechanisms using simulated annealing: theory and applications’, in (ed.), Advances in Design Automation, ASME DE-14, 1988, pp. 233-240.
[9] Elperin, Eng. Optim. 15 pp 193– (1990)
[10] and , Simulated Annealing: Theory and Applications, Reidel, Dordrecht, 1987.
[11] Lundy, Math. Programming 34 pp 111– (1986)
[12] Stadler, J. Optim. Theory Appl. 29 pp 1– (1979)
[13] Stadler, Appl. Mech. Rev. 37 pp 277– (1984)
[14] Multicriteria Optimization: Theory, Computation, and Applications, Wiley, New York, 1986.
[15] Dhingra, Eng. Optim. 15 pp 211– (1990)
[16] Dhingra, Eng. Optim. 20 pp 81– (1992)
[17] Rajeev, J. Struct. Eng. 118 pp 1233– (1992)
[18] Zhu, Eng. Optim. 9 pp 303– (1986)
[19] An Introduction to Probability Theory and its Applications, Vol. I, 3rd edn, Wiley, New York, 1968.
[20] Non-Negative Matrices and Markov Chains, 2nd edn, Springer, New York, 1981. · Zbl 1099.60004
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.