An Adaptive Section Discretization Scheme for the Nonlinear Dynamic Analysis of Steel Frames
Publication: Journal of Structural Engineering
Volume 149, Issue 4
Abstract
The paper presents an adaptive section discretization scheme for the inelastic response analysis of structural members with cross sections that can be decomposed into rectangular and circular subdomains. Each subdomain can consist of a different material. As long as the largest strain in a subdomain does not exceed the specified trigger strain values, the subdomain contribution to the section response is determined by the numerically exact cubature rule for the subdomain. Once the largest strain reaches the trigger value for a subdomain, it is discretized with a fiber mesh and the numerical evaluation of its contribution to the section response is determined with the midpoint integration rule. The fiber mesh with the midpoint integration rule remains in effect for the activated subdomain until the end of the response history. The paper applies the adaptive discretization scheme to the thin-walled sections common in metallic structures and investigates the effect of different trigger strain values on the accuracy and computational efficiency of the inelastic response analysis of wide-flange steel sections and multistory steel frames under static and dynamic excitations.
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. 1964. Handbook of mathematical functions with formulas, graphs and mathematical tables. Cambridge, UK: Cambridge University Press.
Berry, M. P., and M. O. Eberhard. 2008. Performance modeling strategies for modern reinforced concrete bridge columns. Berkeley, CA: Dept. of Civil and Environmental Engineering, Univ. of California, Berkeley.
Cheng, J., and P. B. Shing. 2022. “Practical nonlinear analysis methods for flexure-dominated reinforced masonry shear walls.” J. Struct. Eng. 148 (8): 04022109. https://doi.org/10.1061/(ASCE)ST.1943-541X.0003429.
Chiorean, C. 2009. “A computer method for nonlinear inelastic analysis of 3D semi-rigid steel frameworks.” Eng. Struct. 31 (12): 3016–3033. https://doi.org/10.1016/j.engstruct.2009.08.003.
Cools, R. 2003. “An encyclopaedia of cubature formulas.” J. Complexity 19 (3): 445–453. https://doi.org/10.1016/S0885-064X(03)00011-6.
Crisfield, M. A. 1996. Vol. 1 of Non-linear finite element analysis of solids and structures. Chichester, UK: Wiley.
Filippou, F. C., and M. Constantinides. 2004. FEDEASLab getting started guide and simulation examples. Berkeley, CA: Univ. of California, Berkeley.
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.
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., and F. Filippou. 2022. “An adaptive fiber section discretization scheme for nonlinear frame analysis.” J. Struct. Eng. 148 (12): 04022204. https://doi.org/10.1061/JSENDH.STENG-10688.
Minafò, G., and G. Camarda. 2021. “Use of fiber-section beam elements for modelling the monotonic flexural response of RC jacketed columns.” Eng. Struct. 228 (Feb): 111503. https://doi.org/10.1016/j.engstruct.2020.111503.
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).
Ngo-Huu, C., S.-E. Kim, and J.-R. Oh. 2007. “Nonlinear analysis of space steel frames using fiber plastic hinge concept.” Eng. Struct. 29 (4): 649–657. https://doi.org/10.1016/j.engstruct.2006.06.008.
Orbison, J. G., W. McGuire, and J. F. Abel. 1982. “Yield surface applications in nonlinear steel frame analysis.” Comput. Methods Appl. Mech. Eng. 33 (1): 557–573. https://doi.org/10.1016/0045-7825(82)90122-0.
Quagliaroli, M., P. Malerba, and L. Sgambi. 2015. “A parametric subdomain discretization for the analysis of the multiaxial response of reinforced concrete sections.” Adv. Eng. Software 82 (Apr): 87–104. https://doi.org/10.1016/j.advengsoft.2014.12.005.
Scott, M. H., G. L. Fenves, F. McKenna, and F. C. Filippou. 2008. “Software patterns for nonlinear beam-column models.” J. Struct. Eng. 134 (4): 562–571. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:4(562).
Simo, J. C., and T. J. Hughes. 1998. Computational inelasticity. New York: Springer.
Taucer, F., E. Spacone, and F. Filippou. 1991. A fiber beam-column element for seismic analysis of reinforced concrete structures. Berkeley, CA: Earthquake Engineering Research Center, Univ. of California, Berkeley.
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.
Information & Authors
Information
Published In
Copyright
© 2023 American Society of Civil Engineers.
History
Received: Jun 20, 2022
Accepted: Nov 22, 2022
Published online: Jan 30, 2023
Published in print: Apr 1, 2023
Discussion open until: Jun 30, 2023
ASCE Technical Topics:
- Adaptive systems
- Dynamic structural analysis
- Elasticity and Inelasticity
- Engineering fundamentals
- Frames
- Material mechanics
- Material properties
- Materials engineering
- Mechanical properties
- Methodology (by type)
- Numerical methods
- Steel frames
- Steel structures
- Strain
- Structural analysis
- Structural engineering
- Structural members
- Structural systems
- Structures (by type)
- Systems engineering
- Systems management
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.