Abstract
The optimal design of structural systems with conventional members or systems with conventional as well as passive or active members is presented. The optimal sizes of the conventional members of structural systems are obtained for dynamic loads. A modified simulated annealing algorithm is presented which is used to solve the optimization problem with dynamic constraints. The present algorithm differs from existing simulated annealing algorithms in two respects; first, an automatic reduction of the search range is performed, and second, a sensitivity analysis of the design variables is utilized. The present method converges to the minimum in less iterations when compared to existing simulated annealing algorithms. The algorithm is advantageous over classical methods for optimization of structural systems with constraints arising from dynamic loads. For certain initial values of the design variables, classical optimization methods either fail to converge or produce designs which are local minima; the present algorithm seems to be successful in yielding the global minimum design.
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References
Ackley, D.H. 1987: An empirical study of bit vector function optimization. In: Lawrence, D. (ed.)Genetic algorithms and simulating annealing. Los Altos: Norgan Kaufmann Publishers
Balling, R.J. 1991: Optimal steel frame design by simulated annealing.J. Struct. Eng. 117, 1780–1795
Cassis, J.H. 1974: Optimum design of structures subjected to dynamic loads.UCLA-ENG-7451. Los Angeles: UCLA School of Engineering and Applied Science
Cassis, J.H.; Schmit, L.A., Jr. 1976: Optimal structural design with dynamic constraints.J. Struct. Eng., ASCE 102, 2053–2071
Chang, K.C.; Soong, T.T.; Oh, S.-T.; Lai, M.L. 1995. Seismic behavior of steel frame with added viscoelastic dampers.J. Struct. Eng., ASCE 121, 1418–1426
Chen, G-S.; Bruno, R.J.; Salama, M. 1991: Optimal placement of active passive members in truss structures using simulated annealing.AIAA J. 29, 1327–1334
Cheng, F.Y; Pantelides, C.P. 1988: Combining structural optimization and structural control.Technical Report NCEER 880006. State University of New York, Buffalo, NY
Goldberg, E.D. 1989:Genetic algorithms in search, optimization and machine learning. Reading, MA: Addison-Wesley
Grierson, D.E. 1994: Structural analysis for structural design. In: Cheng, F.Y. (ed.)Proc. 11th Analysis and Computation Conf.: ASCE, Structures Cong. '94 and IASS Int. Symp. '94 (held in Atlanta, GA), pp. 133–144
Haftka, R.T.; Martinovic, Z.N.; Hallauer, W. 1985: Enhanced vibration controllability by minor structural modifications.AIAA J. 23, 1260–1266
Haftka, R.T.; Martinovic, Z.N.; Hallauer, W.L., Jr.; Schamel, G. 1987. An analytical and experimental study of a control system's sensitivity to structural modifications.AIAA J. 25, 310–315
Hale, A.L.; Lisowski, R.J.; Dahl, W.L. 1985: Optimal simultaneous structural and control design of maneuvering flexible space-craft.AIAA J. Guidance, Dynamics and Control 8, 86–93
Haug, E.J.; Arora, J.S. 1979:Applied optimal design. New York: John Wiley & Sons
International Conference of Building Officials 1994:Uniform Building Code 2, Whittier, CA, 2.362
Johnson, E.H. 1976: Disjoint design spaces in the optimization of harmonically excited structures.AIAA J. 14, 259–261
Johnson, E.H.; Rizzi, P.; Ashley, H.; Segenreich, S.A. 1976: Optimization of continuous one-dimensional structures under steady harmonic excitation.AIAA J. 14, 1690–1698
Kelley, H.J. 1960: The Cutting plane method for solving complex programs.SIAM J. 8, 703–712
Kirkpatrick, S.; Gelatt, C.D., Jr.; Vecchi, M.P. 1983: Optimization by simulated annealing.Science 220, 671–680
Komkov, V. 1983. Simultaneous control and optimization for elastic systems. In: Rodriguez, G. (ed.)Proc. Workshop Applic. Distributed System Theory Control Large Space Structures, pp. 83–146. Pasadena, CA: JPL Publication
Mills-Curran, W.C.; Schmit, L.A. 1985: Structural optimization with dynamic behavior constraints.AIAA J. 23, 132–138
Pantelides, C.P. 1990: Optimum design of actively controlled structures.Earthquake Eng. Struct. Dyn. 19, 583–596
Salama, M.; Bruno, R.; Chen, G.-S.; Garba, J. 1988: Optimal placement of excitations and sensors by simulated annealing.NASA/Air Force Symp. on Recent Experiences in Multidisciplinary Analysis and Optimization (held in Hampton, VA)
Schmit, L.A. 1981: Structural synthesis — Its genesis and development.AIAA J. 19, 1249–1263
Soong, T.T.; Manolis, G.D. 1987: Active structures.J. Struct. Eng. ASCE 113, 2290–2302
Soong, T.T.; Reinhorn, A.M.; Wang, Y.P.; Lin, R.C. 1991: Full scale implementation of active control. I: design and simulation.J. Struct. Eng., ASCE 117, 3516–3636
Tzan, S.-R.; Pantelides, C.P. 1994: Hybrid structural control using viscoelastic dampers and active control systems.Earthquake Eng. Struct. Dyn. 23, 1369–1388
Vanderplaats, G.N. 1984:Numerical optimization techniques for engineering design: with applications. New York: McGraw Hill
Vanderplaats Research and Development, Inc. 1995:DOT user's manual, vesion 4.20. Colorado Springs
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Pantelides, C.P., Tzan, S.R. Simulated annealing for the design of structures with time-varying constraints. Structural Optimization 13, 36–44 (1997). https://doi.org/10.1007/BF01198374
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DOI: https://doi.org/10.1007/BF01198374