Design of Nonlinear Framed Structures Using Genetic Optimization
Publication: Journal of Structural Engineering
Volume 126, Issue 3
Abstract
In this paper we present a genetic algorithm (GA)-based optimization procedure for the design of 2D, geometrical, nonlinear steel-framed structures. The approach presented uses GAs as a tool to achieve discrete nonlinear optimal or near-optimal designs. Frames are designed in accordance with the requirements of the AISC-LRFD specification. In this paper, we employ a group selection mechanism, discuss an improved adapting crossover operator, and provide recommendations on the penalty function selection. We compare the differences between optimized designs obtained by linear and geometrically nonlinear analyses. Through two examples, we will illustrate that the optimal designs are not affected significantly by the P-Δ effects. However, in some cases we may achieve a better design by performing nonlinear analysis instead of linear analysis.
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References
1.
Adeli, H., and Cheng, N. T. (1994). “Concurrent genetic algorithms for optimization of large structures.” J. Aero. Engrg., 7(3), 276–296.
2.
Camp, C. V., Pezeshk, S., and Cao, G. (1996). “Design of 3-D structures using a genetic algorithm.” Proc, 1st U.S.-Japan Sem. on Struct. Optimization, April, Chicago.
3.
Chen, D. ( 1997). “Least weight design of 2-D and 3-D geometrically nonlinear frame structures using a genetic algorithm,” PhD dissertation, University of Memphis, Memphis, Tenn.
4.
Gallagher, R. H., and Zienkiewicz, O. C. (1973). Optimum structural design: Theory and Applications, Wiley, New York.
5.
Geist, A., Beguelin, A., Dongarra, J., Jiang, W., Mancheck, R., and Sunderam, V. (1991). PVM: Parallel virtual machine: A user's guide and tutorial for networked parallel computing, The MIT Press, Cambridge, Mass.
6.
Goldberg, D. E., and Samtani, M. P. (1986). “Engineering optimization via genetic algorithms.” Proc., 9th Conf. on Electronic Comput., ASCE, New York, 471–482.
7.
Hall, S. K., Cameron, G. E., and Grierson, D. E. (1989). “Least-weight design of steel frameworks accounting for P-Δ effects.”J. Struct. Engrg., ASCE, 115(6), 1463–1475.
8.
Hillier, F. S., and Lieberman, G. J. (1990). Introduction to mathematical programming, McGraw-Hill, New York.
9.
Homaifar, A., Qi, C. X., and Lai, S. H. (1994). “Constrained optimization via genetic algorithms.” Simulation, April, 242–254.
10.
Manual of steel construction: Load and resistance factor design. (1994). 2nd Ed., American Institute of Steel Construction.
11.
Pezeshk, S. (1992). “Optimal design of structures with kinematic nonlinear behavior.”J. Engrg. Mech., ASCE, 118(4), 702–720.
12.
Pezeshk, S. (1998). “Design of framed structures: An integrated nonlinear analysis and optimal minimum weight design.” Int. J. Numer. Methods in Engrg., 41, 459–471.
13.
Rajeev, S., and Krishnamoorthy, C. S. (1992). “Discrete optimization of structures using genetic algorithms.”J. Struct. Engrg., ASCE, 118(5), 1233–1250.
14.
Rajan, S. D. (1995). “Sizing, shape, and topology design optimization of trusses using genetic algorithms.”J. Struct. Engrg., ASCE, 121(10), 1480–1487.
15.
Richardson, J. T., Palmer, M. R., Liepins, G., and Hilliard, M. (1989). “Some guidelines for genetic algorithms with penalty functions.” Proc., 3rd Int. Conf. on Genetic Algorithms, Morgan Kaufmann, San Mateo, Calif., 191–197.
16.
Spears, W. M. (1994). “Adaptive crossover in genetic algorithms.” Artificial Intelligence Center Internal Rep. #AIC-94-019, Naval Research Laboratory, Washington, D.C.
17.
Zienkiewicz, O. C. (1982). The finite element method, 3rd Ed., McGraw-Hill, London.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 126 • Issue 3 • March 2000
Pages: 382 - 388
History
Received: Sep 1, 1998
Published online: Mar 1, 2000
Published in print: Mar 2000
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