Inelastic Dynamic Response of Structures Using Force Analogy Method
Publication: Journal of Engineering Mechanics
Volume 125, Issue 10
Abstract
A new algorithm based on the force analogy method for studying the inelastic structural behaviors subjected to dynamic loadings is proposed. Inelastic analysis is performed based on varying the structural displacement field, which differs from the conventional method of changing stiffness. Each inelastic deformation of the structure is denoted as a degree of freedom, and therefore all inelastic behaviors are represented by a single equation. The algorithm is very time efficient because only initial stiffness is used, and it achieves high numerical accuracy when incorporating the use of a state space numerical integration method in dynamic analysis. Moreover, this algorithm is dynamically stable in analyzing structures with not only strain-hardening properties, but also elastic-plastic properties and strain-softening properties. Comparison between the proposed algorithm and an existing inelastic dynamic analysis software program is performed to demonstrate the accuracy and efficiency of this algorithm. Finally, application of the proposed algorithm to the dynamic response of a six-story hospital building is presented to show the complete inelastic analysis procedure in analyzing realistic structures.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Bazzurro, P., Cornell, A., Shome, N., and Carballo, J. E. (1998). “Three proposals for characterizing MDOF nonlinear seismic response.”J. Struct. Engrg., ASCE, 124(11), 1281–1289.
2.
Goel, R. K. (1997). “Seismic response of asymmetric systems: Energy-based approach.”J. Struct. Engrg., ASCE, 123(11), 1444–1453.
3.
Khudada, A. E., and Geschwindner, L. F. (1997). “Nonlinear dynamic analysis of steel frames by model superposition.”J. Struct. Engrg., ASCE, 123(11), 1519–1527.
4.
Lin, T. H. (1968). Theory of inelastic structures. Wiley, New York.
5.
Madan, A., Reinhorn, A. M., Mander, J. B., and Valles, R. E. (1997). “Modeling of masonry infill panels for structural analysis.”J. Struct. Engrg., ASCE, 123(10), 1295–1302.
6.
Newmark, N. M. (1959). “A method of computation for structural dynamics.”J. Engrg. Mech. Div., ASCE, 85, 67–94.
7.
Powell, G. H. (1993). “DRAIN-2DX element description and user guide version 1.10.” Rep. No. UCB/SEMM-93/17.
8.
Wilson, E. L., Farhoomand, I., and Bathe, K. J. (1973). “Nonlinear dynamic analysis of complex structures.” Int. J. Earthquake and Struct. Dyn., 1, 241–252.
Information & Authors
Information
Published In
History
Received: Nov 17, 1998
Published online: Oct 1, 1999
Published in print: Oct 1999
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.