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
Copyright
© 2022 American Society of Civil Engineers.
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
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.
Cited by
- Svetlana M. Kostic, Filip C. Filippou, 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).