Sizing, Shape, and Topology Design Optimization of Trusses Using Genetic Algorithm
Publication: Journal of Structural Engineering
Volume 121, Issue 10
Abstract
A procedure is developed for the combined sizing, shape, and topology design of space trusses. Discrete and continuous values are used to define the cross-sectional areas of the members. The nodal locations are treated as continuous design variables using the hybrid natural approach for shape optimal design. Element connectivity and boundary conditions are treated as Boolean design variables in the context of topology design. The traditional genetic algorithm is modified to handle the problem formulation. Simple concepts are used to accelerate convergence and reduce the computational effort. Numerical examples are solved to illustrate the proposed methodology. Several conclusions drawn from the research results are presented along with some thoughts on computational strategies.
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References
1.
Arora, J. S., and Thanedar, P. B.(1986). “Computational methods for optimum design of large complex systems.”Computational Mech., 1(2), 221–242.
2.
Budiman, J., and Rajan, S. D. (1993). “Shape optimal design methodology—the hybrid natural approach.”Proc., 34th AIAA/ASCE/ASME/AHS SDM Conf., ASCE, New York, N.Y., 544–554.
3.
Deb, K. (1990). “Optimal design of a class of welded structures via genetic algorithms.”Proc., 31st AIAA/ASCE/ASME/AHS SDM Conf., ASCE, New York, N.Y., 444–453.
4.
Fluery, C., and Schmit, L. A. (1980). “Dual methods and approximation concepts in structural synthesis.”NASA CR-3226, NASA, Washington, D.C.
5.
Goldberg, D. E., and Samtani, M. P. (1986). “Engineering optimization via genetic algorithms.”Proc., 9th Conf. Electronic Computation, ASCE, New York, N.Y., 471–482.
6.
Grierson, D. E., and Pak, W. H. (1993). “Optimal sizing, geometrical and topological design using a genetic algorithm.”Struct. Optimization, Vol. 6, 151–159.
7.
Hajela, P., and Lee, E. (1993a). “Genetic algorithms in topological design of grillage structures.”Proc., IUTAM Symp. on Discrete Struct. Systems, IUTAM, Zakopane, Poland.
8.
Hajela, P. (1993b). “Genetic algorithms in structural topology optimization.”Topology design of structures. Bendsoe and Mota Sores, eds., 117–134. Kluwer Academic Publishers, Boston, Mass.
9.
Jenkins, W. M. (1991). “Towards structural optimization via the genetic algorithm.”Computer and Struct., Vol. 40, 1321–1327.
10.
Lin, C. Y., and Hajela, P. (1992). “Genetic algorithms in optimization problems with discrete and integer design variables.”Engrg. Optimization, Vol. 19, 309–327.
11.
Lin, C. Y., and Hajela, P. (1993). “Genetic search strategies in large scale optimization.”Proc., 34th AIAA/ASCE/ASME/AHS SDM Conf., ASCE, New York, N.Y., 2437–2447.
12.
Rajan, S. D., and Belegundu, A. D. (1989). “Shape optimal design using fictitious loads.”AIAA J., Vol. 27, 102–116.
13.
Rajeev, S., and Krishnamoorthy, C. S. (1992). “Discrete optimization of structures using genetic algorithms.”J. Struct. Engrg., Vol. 118, 1233–1250.
14.
Richardson, J. T., Palmer, M. R., Liepins, G., and Hilliard, M. (1989). “Some guidelines for genetic algorithms with penalty functions.”Proc., ICGA, 191–197.
15.
Sakamoto, J., and Oda, J. (1993). “A technique of optimal layout design for truss structures using genetic algorithm.”Proc., 35th AIAA/ASCE/ASME/AHS SDM Conf., ASCE, New York, N.Y., 2402–2408.
16.
Schmid, L. (1992). “Discussion of `Discrete optimization of structures using genetic algorithms' by S. Rajeev and C. S. Krishnamoorthy.”J. Struct. Engrg., Vol. 118, 2494–2495.
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Copyright © 1995 American Society of Civil Engineers.
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Published online: Oct 1, 1995
Published in print: Oct 1995
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