Shape Optimization of H-Beam Flange for Maximum Plastic Energy Dissipation
Publication: Journal of Structural Engineering
Volume 133, Issue 8
Abstract
The purpose of this paper is to show that the performance of a structural component is drastically improved utilizing shape optimization considering inelastic responses. Optimal flange shapes are found as an example for an H-beam to show that the energy dissipation capacity is significantly improved by shape optimization. The forced displacement is given at the free end of the cantilever beam so that the average deformation angle reaches the specified value. The constraint is given for the maximum equivalent plastic strain at the welded section. Global optimal solutions are searched by a heuristic approach called simulated annealing, which is successfully combined with a commercial finite-element analysis code ABAQUS for elastoplastic analysis. It is shown in the examples that the maximum plastic strains near the welded section are reduced and the plastic deformation is widely distributed around the reduced section of the optimal solution; thus, allowing large energy dissipation under small maximum plastic strain. The results show the advantage of the optimal shape over the conventional circular cut.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
Financial support by the Ministry of Education, Culture, Sports, Sciences and Technology of Japan under Grant Nos. 17360270 and 16-4364 is gratefully acknowledged.
References
Aarts, E., and Korst, J. (1989). Simulated annealing and Boltzmann machines: A stochastic approach to combinatorial optimization and neural computing, Wiley, Chichester, U.K.
ABAQUS. (2004). ABAQUS version 6.4 documentation, Providence, R.I.
Balling, R. J. (1991). “Optimal steel frame design by simulated annealing.” J. Struct. Eng., 117(6), 1780–1795.
Bendsøe, M. P., and Sigmund, O. (2003). Topology optimization: Theory, methods, and applications, Springer, Berlin.
Chen, S. J., Yeh, C. H., and Chu, J. M. (1996). “Ductile steel beam-to-column connections for seismic resistance.” J. Struct. Eng., 122(11), 1292–1299.
David, B. (2001). Python essential reference, 2nd Ed., New Riders, Berkeley, Calif.
Engelhardt, M. D. (1999). “The 1999 T. R. Higgins lecture: Design of reduced beam section moment connections.” Proc., North American Steel Construction Conf., Tront, 1–29.
Engelhardt, M. D., Fray, G. T., S. Jones, M. V., and Holiday, S. (2000). “Behavior and design of radius cut, reduced beam section connections.” Technical Rep., SAC Joint Venture, Sacramento, Calif.
Goel, S. C., Stojadinovic, B., and Lee, K. H. (1997). “Truss analogy for steel moment connections.” Eng. J., 37(2), 43–53.
Goffe, W. L., Ferrier, G. D., and Rogers, J. (1994). “Global optimization of statistical functions with simulated annealing.” J. Econometr., 60(1), 65–99.
Iwankiw, N. R., and Carter, C. (1996). “The dogbone: A new idea to chew on.” Modern Steel Constr., 36(4), 18–23.
Jones, S. L., Fry, G. T., and Engelhardt, M. D. (2002). “Experimental evaluation of cyclically loaded reduced beam section moment connections.” J. Struct. Eng., 128(4), 441–451.
Ogawa, T., Ohsaki, M., Miyamura, T., and Kumagai, T. (2005). “Shape optimization of shell roofs subjected to strong wind by using a variable complexity model.” J. Int. Assoc. Shell Spatial Struct., 46(2), 110–115.
Ohsaki, M. (1997). “Sensitivity analysis of elastoplastic structures by using explicit integration method.” Appl. Mech. Rev., 50(11), 156–161.
Ohsaki, M., and Arora, J. S. (1994). “Design sensitivity analysis of elastoplastic structures.” Int. J. Numer. Methods Eng., 37, 737–762.
Pan, P., Ohsaki, M., and Kinoshita, T. (2007). “Constraint approach to performance-based design of steel moment-resisting frames.” Eng. Struct., 29, 186–194.
Swan, C. C., and Kosaka, I. (1997). “Voigt–Reuss topology optimization for structures with nonlinear material behaviors.” Int. J. Numer. Methods Eng., 40(20), 3785–3814.
Tagawa, H., and Ohsaki, M. (1999). “A continuous topology transition model for shape optimization of plane trusses with uniform cross-sectional area.” Proc., 3rd World Congress of Structural and Multidisciplinary Optimization.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 133 • Issue 8 • August 2007
Pages: 1176 - 1179
Copyright
© 2007 ASCE.
History
Received: Jan 12, 2006
Accepted: Mar 16, 2007
Published online: Aug 1, 2007
Published in print: Aug 2007
Notes
Note. Associate Editor: Elisa D. Sotelino
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.