Response Sensitivity for Nonlinear Beam–Column Elements
Publication: Journal of Structural Engineering
Volume 130, Issue 9
Abstract
Response sensitivity is needed for simulation applications such as optimization, reliability, and system identification. The exact response sensitivity of material nonlinear beam–column elements is derived for the displacement- and force-based formulations. For displacement-based beam–column elements the response sensitivity is straightforward to compute because the displacement field is specified along the element. A new approach is presented for computing the response sensitivity of force-based beam–column elements, in which the displacement field is not specified. In this approach, the response sensitivity depends on the derivative of unbalanced section forces because the element displacement field changes with the element state. Example nonlinear static analyses of steel and reinforced concrete structural systems verify the exact response sensitivity for force-based elements using the new approach.
Get full access to this article
View all available purchase options and get full access to this article.
References
Conte, J. P., Vijalapura, P. K., and Meghella, M. (1999). “Consistent finite element sensitivities in seismic reliability analysis.” Proc., 13th ASCE Engineering Mechanics Division Conf., Reston, Va.
Kleiber, M., Antunez, H., Hien, T. D., and Kowalczyk, P. (1997). Parameter sensitivity in nonlinear mechanics, Wiley, New York.
Liu, P. L., and Der Kiureghian, A.(1991). “Optimization algorithms for structural reliability.” Struct. Safety, 9, 161–177.
McKenna, F., Fenves, G. L., Jeremic, B., and Scott, M. H. (2000). “Open system for earthquake engineering simulation.” 〈http://opensees.berkeley.edu〉
Neuenhofer, A., and Filippou, F. C.(1997). “Evaluation of nonlinear frame finite-element models.” J. Struct. Eng., 123(7), 958–966.
Simo, J. C., and Hughes, T. J. R. (1998). Computational inelasticity, Springer, New York.
Spacone, E., Ciampi, V., and Filippou, F. C.(1996). “Mixed formulation of nonlinear beam finite element.” Comput. Struct., 58, 71–83.
Zhang, Y., and Der Kiureghian, A.(1993). “Dynamic response sensitivity of inelastic structures.” Comput. Methods Appl. Mech. Eng., 108, 23–36.
Zienkiewicz, O. C., and Taylor, R. L. (2000). The finite element method: Volume 1, the basis, 5th Ed., Butterworth–Heinman, Stoneham, Mass.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 130 • Issue 9 • September 2004
Pages: 1281 - 1288
Copyright
Copyright © 2004 American Society of Civil Engineers.
History
Received: Feb 25, 2003
Accepted: Sep 10, 2003
Published online: Aug 16, 2004
Published in print: Sep 2004
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.