Abstract
The paper deals with discrete optimization of elastic trusses with geometrical nonlinear behaviour and constraints on stability. The problem consists of minimizing the weight and determining the optimal member distribution so that the external load does not cause a loss of stability of the structure. Member cross-sections are selected from a catalogue of available sections. Element stresses, elment stability and global structural stability constraints are considered. A controlled enumeration method according to the increasing value of the objective function is applied. Shallow space trusses are numerically analysed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bauer, J.; Gutkowski, W.; Iwanow, Z. 1981: A discrete method for lattice structures optimization.Eng. Opt. 5, 121–128
Cella, A.; Soosaar, K. 1973: Discrete variables in structural optimization. In: Gallagher, R.M.; Zienkiewicz, O.C. (eds.)Optimum structural design: theory and applications, pp. 201–222. London: Wiley and Sons
Fox, D.B.; Liebmann, J.S. 1981: A discrete nonlinear simplex method for optimized engineering design.Eng. Opt. 5, 129–149
Fleury, C.; Braibant, V. 1983: Structural optimization involving discrete design variables. In: Eschenauer, H.A.; Olhoff, N. (eds.)Optimization methods in structural design, pp. 70–77. Mannheim: Bibliographisches Institut
Greenberg, H. 1971:Integer programming. New York: Academic Press
Gutkowski, W.; Bauer, J.; Iwanow, Z. 1986: Minimum weight design of space frames from a catalogue. In: Heki, K. (ed.)Shells, membranes and space frames. Vol. 3, pp. 229–236. Amsterdam: Elsevier
Iwanow, Z. 1981: The method of enumeration according to the increasing value of the objective function in the optimization of bar structures.Bull. Acad. Polon. Sci., Serie Scie. Tech. 29, 481–486
Kamat, M.P.; Khot, N.S.; Venkayya, V.B. 1984: Optimization of shallow trusses against limit point instability.AIAA J. 22, 403–408
Khot, N.S. 1983: Nonlinear analysis of optimized structures with constraints on system stability.AIAA J. 21, 1181–1186
Khot, N.S.; Kamat, M.P. 1985: Minimum weight design of truss structures with geometric nonlinear behavior.AIAA J. 23, 139–144
Pyrz, M. 1990: Discrete optimization of trusses with stability constraints.Eng. Opt. (in print)
Templemann, A.B.; Yates, D.F. 1983: A segmental method for the discrete optimum design of structures.Eng. Opt. 6, 145–155
Thompson, J.M.T.; Hunt, G.W. 1984:Elastic instability phenomena. Chichester: Wiley and Sons
Author information
Authors and Affiliations
Additional information
Communicated by A.M. Brandt
Rights and permissions
About this article
Cite this article
Pyrz, M. Discrete optimization of geometrically nonlinear truss structures under stability constraints. Structural Optimization 2, 125–131 (1990). https://doi.org/10.1007/BF01745460
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01745460