Technical Papers
Jul 8, 2014

Deterioration Modeling of Steel Moment Resisting Frames Using Finite-Length Plastic Hinge Force-Based Beam-Column Elements

Publication: Journal of Structural Engineering
Volume 141, Issue 2

Abstract

The use of empirically calibrated moment-rotation models that account for strength and stiffness deterioration of steel frame members is paramount in evaluating the performance of steel structures prone to collapse under seismic loading. These deterioration models are typically used as zero-length springs in a concentrated plasticity formulation; however, a calibration procedure is required when they are used to represent the moment-curvature (Mχ) behavior in distributed plasticity formulations because the resulting moment-rotation (Mθ) response depends on the element integration method. A plastic hinge integration method for using deterioration models in force-based elements is developed and validated using flexural stiffness modifications parameters to recover the exact solution for linear problems while ensuring objective softening response. To guarantee accurate results in both the linear and nonlinear range of response, the flexural stiffness modification parameters are computed at the beginning of the analysis as a function of the user-specified plastic hinge length. With this approach, moment-rotation models that account for strength and stiffness deterioration can be applied in conjunction with force-based plastic hinge beam-column elements to support collapse prediction without increased modeling complexity.

Get full access to this article

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

Acknowledgments

In the development of this research work, the first and fourth authors would like to acknowledge the support of the Portuguese Science and Technology Foundation through the program SFRH/BD/77722/2011 and UNIC Research Center at the Universidade Nova de Lisboa. The support of the School of Civil and Construction Engineering at Oregon State University to the second and third authors is gratefully acknowledged. The opinions and conclusions presented in this paper are those of the authors and do not necessarily reflect the views of the sponsoring organizations.

References

Addessi, D., and Ciampi, V. (2007). “A regularized force-based beam element with a damage plastic section constitutive law.” Int. J. Numer. Methods Eng., 70(5), 610–629.
Alemdar, B., and White, D. (2005). “Displacement, flexibility, and mixed beam–column finite element formulations for distributed plasticity analysis.” J. Struct. Eng., 1811–1819.
Berry, M., Lehman, D., and Lowes, L. (2008). “Lumped-plasticity models for performance simulation of bridge columns.” ACI Struct. J., 105(3), 270–279.
Bruneau, F., Uang, C.-M., and Whittaker, A. (1998). Ductile design of steel structures, McGraw-Hill, New York.
Calabrese, A., Almeida, J., and Pinho, R. (2010). “Numerical issues in distributed inelasticity modeling of rc frame elements for seismic analysis.” J. Earthquake Eng., 14(S1), 38–68.
Clough, R., Benuska, K., and Wilson, E. (1965). “Inelastic earthquake response of tall buildings.” 3rd World Conf. on Earthquake Engineering, Vol. 2, Wellington, New Zealand National Committee on Earthquake Engineering, 68–81.
Coleman, J., and Spacone, E. (2001). “Localization issues in force-based frame elements.” J. Struct. Eng., 1257–1265.
Cook, R. D., Malkus, D. S., Plesha, M. E., and Witt, R. J. (2001). Concepts and applications of finite element analysis, 4th Ed., Wiley, New York.
De Borst, R., Crisfield, M., Remmers, J., and Verhoosel, C. (2012). Nonlinear finite element analysis of solids and structures, 2nd Ed., Wiley, New York.
El-Tawil, S., and Deierlein, G. G. (1998). “Stress-resultant plasticity for frame structures.” J. Eng. Mech., 1360–1370.
Foliente, G. (1995). “Hysteresis modeling of wood joints and structural systems.” J. Struct. Eng., 1013–1022.
Giberson, M. (1969). “Two nonlinear beams with definitions of ductility.” J. Struct. Div., 95(2), 137–157.
Gupta, A., and Krawinkler, H. (1999). “Seismic demands for performance evaluation of steel moment resisting frame structures.”, John A. Blume Earthquake Engineering Center, Stanford Univ., Stanford, CA.
Haselton, C., and Deierlein, G. (2007). “Assessing seismic collapse safety of modern reinforced concrete frame buildings.”, John A. Blume Earthquake Engineering Center, Stanford Univ., Stanford, CA.
Ibarra, L. F., and Krawinkler, H. (2005). “Global collapse of frame structures under seismic excitations.”, John A. Blume Earthquake Engineering Research Center, Dept. of Civil Engineering, Stanford Univ., Stanford, CA.
Kang, Y. (1977). “Nonlinear geometric, material and time dependent analysis of reinforced and prestressed concrete frames.”, Univ. of California, Berkeley, CA.
Lignos, D., and Krawinkler, H. (2013). “Development and utilization of structural component databases for performance-based earthquake engineering.” J. Struct. Eng., 1382–1394.
Lignos, D. G., and Krawinkler, H. (2011). “Deterioration modeling of steel components in support of collapse prediction of steel moment frames under earthquake loading.” J. Struct. Eng., 1291–1302.
McKenna, F., Fenves, G., and Scott, M. (2000). Open system for earthquake engineering simulation, Univ. of California, Berkeley, CA.
Medina, R., and Krawinkler, H. (2005). “Evaluation of drift demands for the seismic performance assessment of frames.” J. Struct. Eng., 1003–1013.
Neuenhofer, A., and Filippou, F. (1997). “Evaluation of nonlinear frame finite-element models.” J. Struct. Eng., 958–966.
PEER/ATC. (2010). “Modeling and acceptance criteria for seismic design and analysis of tall buildings.”, ATC—Applied Technology Council, Redwood City, CA.
Pincheira, J., Dotiwala, F., and D’Souza, J. (1999). “Seismic analysis of older reinforced concrete columns.” Earthquake Spectra, 15(2), 245–272.
Roufaiel, M., and Meyer, C. (1987). “Analytical modeling of hysteretic behavior of r/c frames.” J. Struct. Eng., 429–444.
Scott, M. H., and Fenves, G. L. (2006). “Plastic hinge integration methods for force-based beam-column elements.” J. Struct. Eng., 244–252.
Scott, M. H., and Fenves, G. L. (2010). “Krylov subspace accelerated newton algorithm: Application to dynamic progressive collapse simulation of frames.” J. Struct. Eng., 473–480.
Scott, M. H., and Ryan, K. L. (2013). “Moment-rotation behavior of force-based plastic hinge elements.” Earthquake Spectra, 29(2), 597–607.
Sivaselvan, M., and Reinhorn, A. (2000). “Hysteretic models for deteriorating inelastic structures.” J. Eng. Mech., 633–640.
Souza, P. N., Fateman, R., Moses, J., and Yapp, C. (2003). The maxima book, 〈http://maxima.sourceforge.net〉 (Jan. 2013).
Spacone, E., and Filippou, F. (1992). A beam model for damage analysis of reinforced concrete structures under seismic loads, Dept. of Civil Engineering, Univ. of California, Berkeley, CA.
Spacone, E., Filippou, F., and Taucer, F. (1996). “Fibre beam-column model for nonlinear analysis of R/C frames: Part I. Formulation.” Earthquake Eng. Struct. Dyn., 25(7), 711–726.
Takeda, T., Sozen, M., and Nielson, N. (1970). “Reinforced concrete response to simulated earthquakes.” J. Struct. Div., 96(12), 2557–2573.
Taylor, R. (1977). “The nonlinear seismic response of tall shear wall structures.” Ph.D. thesis, Dept. of Civil Engineering, Univ. of Canterbury, Christchurch, New Zealand, 207.
Zareian, F., and Medina, R. A. (2010). “A practical method for proper modeling of structural damping in inelastic plane structural systems.” Comput. Struct., 88(1–2), 45–53.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 141Issue 2February 2015

History

Received: Apr 25, 2013
Accepted: Feb 11, 2014
Published online: Jul 8, 2014
Discussion open until: Dec 8, 2014
Published in print: Feb 1, 2015

Permissions

Request permissions for this article.

Authors

Affiliations

Filipe L. A. Ribeiro
Ph.D. Student, UNIC, Dept. of Civil Engineering, Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, Quinta da Torre, 2829-516 Caparica, Portugal; and Visiting Ph.D. Student, School of Civil and Construction Engineering, Oregon State Univ., Corvallis, OR 97331-3212.
Andre R. Barbosa, Ph.D., M.ASCE [email protected]
Assistant Professor, School of Civil and Construction Engineering, Oregon State Univ., 220 Owen Hall, Corvallis, OR 97331-3212 (corresponding author). E-mail: [email protected]
Michael H. Scott, Ph.D., M.ASCE
Associate Professor, School of Civil and Construction Engineering, Oregon State Univ., 220 Owen Hall, Corvallis, OR 97331-3212.
Luis C. Neves, Ph.D.
Lecturer, Nottingham Transport Engineering Centre, Univ. of Nottingham, Univ. Park, Nottingham NG7 2RD, U.K.; and UNIC, Dept. of Civil Engineering, Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, Quinta da Torre, 2829-516 Caparica, Portugal.

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