Technical Papers
Oct 12, 2022

An Adaptive Fiber Section Discretization Scheme for Nonlinear Frame Analysis

Publication: Journal of Structural Engineering
Volume 148, Issue 12

Abstract

The paper proposes an adaptive fiber section discretization scheme for inelastic frame elements. The scheme uses cubature rules for the efficient and accurate evaluation of the section response over the elastic portion of the section. As inelastic strains arise and penetrate into the section from the edges, the scheme converts the area under inelastic strains to a regular fiber discretization. This approach offers considerable advantages for the computational efficiency of large structural models with inelastic frame elements by minimizing the number of integration points in sections with limited inelastic response. The proposed scheme is presented for circular and rectangular cross sections, but the approach is applicable to other section shapes. Inelastic frame response examples demonstrate the benefits of the proposed discretization scheme for the nonlinear response history analysis of large structural models.

Get full access to this article

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

Data Availability Statement

Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.

Acknowledgments

The first author thanks the Ministry of Science of the Republic of Serbia for financial support under the Project No. 2000092.

References

Abramowitz, M., I. A. Stegun, and D. Miller. 1965. Handbook of mathematical functions with formulas, graphs and mathematical tables (National Bureau of Standards Applied Mathematics Series No. 55). Cambridge, UK: Cambridge University Press.
AISC. 2005. Seismic provisions for structural steel buildings. Chicago, IL: AISC.
Berry, M. P., and M. O. Eberhard. 2008. Performance modeling strategies for modern reinforced concrete bridge columns. Berkeley, CA: Univ. of California.
Cohen, J., F. C. Filippou, and S. M. Kostic. 2022. Discretization schemes for the analysis of circular RC columns under cyclic loading. Berkeley, CA: Univ. of California.
Cools, R. 2003. “An encyclopaedia of cubature formulas.” J. Complexity 19 (3): 445–453. https://doi.org/10.1016/S0885-064X(03)00011-6.
Filippou, F. C., and M. Constantinides. 2004. Fedeaslab getting started guide and simulation examples. Berkeley, CA: Univ. of California.
Hajjar, J. F., A. Molodan, and P. H. Schiller. 1998. “A distributed plasticity model for cyclic analysis of concrete-filled steel tube beam-columns and composite frames.” Eng. Struct. 20 (4): 398–412. https://doi.org/10.1016/S0141-0296(97)00020-5.
He, Z., S. Fu, and J. Ou. 2017a. “State transformation procedures for fiber beam-column element in inelastic dynamic time history analysis for moment-resisting frames.” J. Comput. Civ. Eng. 31 (5): 04017036. https://doi.org/10.1061/(ASCE)CP.1943-5487.0000683.
He, Z., S. Fu, Y. Shi, Q. Tao, and C. Sun. 2017b. “New speedup algorithms for nonlinear dynamic time history analysis of supertall building structures under strong earthquakes.” Struct. Des. Tall Special Build. 26 (16): e1369. https://doi.org/10.1002/tal.1369.
Hu, J. W. 2008. “Seismic performance evaluations and analyses for composite moment frames with smart SMA PR-CFT connections.” Ph.D. thesis, School of Civil and Environmental Engineering, Georgia Institute of Technology.
ICC. 2003. International building code (IBC 2003). Falls Church, VA: ICC.
Izzuddin, B., and D. Lloyd Smith. 2000. “Efficient nonlinear analysis of elasto-plastic 3d r/c frames using adaptive techniques.” Comput. Struct. 78 (4): 549–573. https://doi.org/10.1016/S0045-7949(00)00041-9.
Kostic, S., and F. Filippou. 2012. “Section discretization of fiber beam-column elements for cyclic inelastic response.” J. Struct. Eng. 138 (5): 592–601. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000501.
Kostic, S. M., and B. Deretic-Stojanovic. 2016. “Fiber element formulation for inelastic frame analysis.” Građevinski Materijali i Konstrukcije 59 (2): 3–13. https://doi.org/10.5937/grmk1602003K.
Mander, J. B., M. J. N. Priestley, and R. Park. 1998. “Theoretical stress-strain model for confined concrete.” J. Struct. Eng. 114 (8): 1804–1826. https://doi.org/10.1061/(ASCE)0733-9445(1988)114:8(1804).
Neuenhofer, A., and F. C. Filippou. 1997. “Evaluation of nonlinear frame finite-element models.” J. Struct. Eng. 123 (7): 958–966. https://doi.org/10.1061/(ASCE)0733-9445(1997)123:7(958).
Scott, M. H., and G. L. Fenves. 2006. “Plastic hinge integration methods for force-based beam-column elements.” J. Struct. Eng. 132 (2): 244–252. https://doi.org/10.1061/(ASCE)0733-9445(2006)132:2(244).
Song, L., B. Izzuddin, A. Elnashai, and P. Dowling. 2000. “An integrated adaptive environment for fire and explosion analysis of steel frames—Part I: Analytical models.” J. Constr. Steel Res. 53 (1): 63–85. https://doi.org/10.1016/S0143-974X(99)00040-1.
Tao, M.-X., and J.-G. Nie. 2015. “Element mesh, section discretization and material hysteretic laws for fiber beam–column elements of composite structural members.” Mater. Struct. 48 (8): 2521–2544. https://doi.org/10.1617/s11527-014-0335-2.
Terzic, V., and B. Stojadinovic. 2015. “Evaluation of post-earthquake axial load capacity of circular bridge columns.” ACI Struct. J. 112 (1): 23–33. https://doi.org/10.14359/51687296.
Zupan, D., and M. Saje. 2005. “Analytical integration of stress field and tangent material moduli over concrete cross-sections.” Comput. Struct. 83 (28): 2368–2380. https://doi.org/10.1016/j.compstruc.2005.03.030.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 148Issue 12December 2022

History

Received: Jul 18, 2021
Accepted: Aug 12, 2022
Published online: Oct 12, 2022
Published in print: Dec 1, 2022
Discussion open until: Mar 12, 2023

Permissions

Request permissions for this article.

Authors

Affiliations

Associate Professor, Faculty of Civil Engineering, Univ. of Belgrade, Bulevar kralja Aleksandra 73, Belgrade 11000, Serbia (corresponding author). ORCID: https://orcid.org/0000-0001-7978-3332. Email: [email protected]
Filip C. Filippou, M.ASCE [email protected]
Professor, Dept. of Civil and Environmental Engineering, Univ. of California, Berkeley, CA 94720-1710. Email: [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

  • An Adaptive Section Discretization Scheme for the Nonlinear Dynamic Analysis of Steel Frames, Journal of Structural Engineering, 10.1061/JSENDH.STENG-11779, 149, 4, (2023).

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