TECHNICAL PAPERS
Feb 1, 2006

Efficient Computation of Response Sensitivities for Inelastic Structures

Publication: Journal of Structural Engineering
Volume 132, Issue 2

Abstract

Response sensitivities with respect to the parameters of a finite element model are useful in many applications. The direct differentiation method (DDM) is commonly utilized to obtain such results. In recent years, the DDM has been extended to include sensitivities of inelastic response with respect to material, load, and geometry parameters. While the DDM is more efficient and accurate than finite difference methods, considerable cost is still associated with the computation of response sensitivities for inelastic problems. In this paper it is demonstrated that the computational cost can be significantly reduced for certain types of problems that are common in structural engineering. A novel event-based computation strategy is suggested, whereby sensitivities of the final response are obtained more efficiently than in the ordinary DDM. It is also demonstrated that sensitivity contributions from all inelastic material points are not needed for statically determinate structures. Numerical examples involving a truss structure, a steel frame structure, and a reinforced concrete frame structure are presented to demonstrate the efficiency of the presented developments.

Get full access to this article

View all available purchase options and get full access to this article.

References

Bouc, R. (1971). “Mathematical model for hysteresis.” Rep. to the Centre de Recherches Physiques, Marseille, France, 16–25.
Conte, J. P., Vijalapura, P. K., and Meghella, M. (2003). “Consistent finite-element response sensitivity analysis.” J. Eng. Mech., 129(12), 1380–1393.
Frier, C., and Sorensen, J. (2003). “Stochastic finite element analysis of non-linear structures modelled by plasticity theory.” Proc., 9th Int. Conf. on Applications of Statistics and Probability in Civil Engineering, ICASP9, A. Der Kiureghian, S. Madanat, and J. Pestana, eds., San Francisco.
Haukaas, T., and Der Kiureghian, A. (2004a). “Finite element reliability and sensitivity methods for performance-based engineering.” Rep. No. PEER 2003/14, Pacific Earthquake Engineering Research Center, Univ. of California, Berkeley, Calif.
Haukaas, T., and Der Kiureghian, A. (2005). “Parameter sensitivity and importance measures in nonlinear finite element reliability analysis.” J. Eng. Mech., 131(10), 1013–1026.
Kleiber, M., Antunez, H., Hien, T., and Kowalczyk, P. (1997). Parameter sensitivity in nonlinear mechanics, Wiley, West Sussex, U.K.
McKenna, F. T. (1997). “Object-oriented finite element programming: Frameworks for analysis, algorithms and parallel computing.” PhD thesis, Univ. of California, Berkeley, Calif., ⟨http://opensees.berkeley.edu⟩.
Roth, C., and Grigoriu, M. (2001). “Sensitivity analysis of dynamic systems subjected to seismic loads.” Rep. No. MCEER-01-0003, Multidisciplinary Center for Earthquake Engineering Research, State Univ. of New York, Buffalo, N.Y.
Simo, J. C., and Hughes, T. J. R. (1998). Computational inelasticity, Springer, New York.
Wen, Y.-K. (1976). “Method for random vibration of hysteretic systems.” J. Eng. Mech. Div., Am. Soc. Civ. Eng., 102(2), 249–263.
Zhang, Y., and Der Kiureghian, A. (1993). “Dynamic response sensitivity of inelastic structures.” Comp. Methods Appl. Sci. Eng., 108, 23–36.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 132Issue 2February 2006
Pages: 260 - 266

History

Received: Oct 4, 2004
Accepted: Mar 14, 2005
Published online: Feb 1, 2006
Published in print: Feb 2006

Permissions

Request permissions for this article.

Notes

Note. Associate Editor: Shahram Sarkani

Authors

Affiliations

Terje Haukaas [email protected]
Assistant Professor, Dept. of Civil Engineering, Univ. of British Columbia, 6250 Applied Science Lane, Vancouver BC, Canada V6T 1Z4. E-mail: [email protected]

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share