Sensitivity Analysis of Thin‐Walled I‐Beams Resting on Elastic Foundation
Publication: Journal of Engineering Mechanics
Volume 118, Issue 6
Abstract
Thin‐walled I‐beams resting on a Winkler‐type elastic foundation and subjected to axial and torsional loadings are considered. The first‐order variations of an arbitrary internal force, a reaction, or a displacment due to a variation of the design variables are derived using the adjoint method. The cross‐section dimensions, except for the web height, the beam material constants, and the foundation torsional stiffness, are assumed to be the design variables. The coefficients of the design variable variations determining the sensitivity of the bimoment and the angle of the cross‐section rotation at the midspan of a simply supported beam are presented. An accuracy of the approximation by using the first‐order variations is also discussed.
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References
1.
Cywiński, Z. (1968). “Technical theory of thin‐walled beams with variable open composite cross‐sections.” Zeszyty Naukowe Politechniki Gdańskiej, Gdańsk, Poland, (134) (in Polish).
2.
Dems, K., and Mróz, Z. (1983). “Variational approach by means of adjoint systems to structural optimization and sensitivity analysis‐I, variation of material parameters within fixed domain.” Int. J. Solids Struct., 19(8), 677–692.
3.
Haug, E. J., Choi, K. K., and Komkov, V. (1986). Design sensitivity analysis of structural systems. Academic Press, Orlando, Fla.
4.
Kameswara Rao, C., and Mirza, S. (1989). “Torsional vibrations and buckling of thin‐walled beams on elastic foundation.” Thin‐Walled Struct., 7(1), 73–82.
5.
Matulewicz, Z., and Szymczak, C. (1985). “Optimal design of thin‐walled I‐beams undergoing torsion.” Thin‐Walled Struct., 3(2), 135–144.
6.
Mróz, Z., and Mironov, A. (1980). “Optimal design of structures for global mechanical constraints.” Arch. Mech., 32(4), 505–516.
7.
Vlasov, V. Z. (1959). “Thin‐walled elastic beams.” Fizmatgiz, Moscow, U.S.S.R. (in Russian).
8.
Washizu, K. (1974). Variational methods in elasticity and plasticity. Pergamon Press, Oxford, U.K.
9.
Wilde, P. (1968). “The torsion of thin‐walled bars with variable cross‐section.” Archiwum Mechaniki, Stosowanej, 20(4), 431–443.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 118 • Issue 6 • June 1992
Pages: 1239 - 1248
Copyright
Copyright © 1992 ASCE.
History
Published online: Jun 1, 1992
Published in print: Jun 1992
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