Nonlinear Inelastic Earthquake Analysis of 2D Steel Frames

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Volume: 10 | Issue: 6 | Pages: 6393-6398 | December 2020 | https://doi.org/10.48084/etasr.3855

Abstract

In this work, a new method for nonlinear time-history earthquake analysis of 2D steel frames by a fiber plastic hinge method is presented. The beam-column element based on the displacement-based finite element method is established and formulated in detail using a fiber plastic hinge approach and stability functions. Geometric nonlinearities are taken into accounting by stability functions and the geometric stiffness matrix. A nonlinear dynamic algorithm is established based on the combination of the Newmark integration method and the Newton-Raphson iterative algorithm for solving dynamic equations. The proposed program predicts the nonlinear inelastic responses of 2D steel frames subjected to earthquakes as efficiently and accurately as commercial software. This study also shows that the initial residual stresses of steel should be considered in nonlinear inelastic time-history earthquake analysis of 2D steel frames while SAP2000 does not consider the effects of residual stresses.

Keywords:

inelasticity, geometric nonlinearity, stability functions, nonlinear algorithm, steel frames, earthquake

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References

W. S. King, D. W. White, and W. F. Chen, "Second‐Order Inelastic Analysis Methods for Steel‐Frame Design," Journal of Structural Engineering, vol. 118, no. 2, pp. 408-428, Feb. 1992. DOI: https://doi.org/10.1061/(ASCE)0733-9445(1992)118:2(408)

S. L. Chan and P. T. Chui, Eds., Non-Linear Static and Cyclic Analysis of Steel Frames with Semi-Rigid Connections, 1st ed. Amsterdam, Netherlands: Elsevier Science, 2000. DOI: https://doi.org/10.1016/B978-008042998-4/50002-8

R. D. Ziemian and W. McGuire, "Modified Tangent Modulus Approach, A Contribution to Plastic Hinge Analysis," Journal of Structural Engineering, vol. 128, no. 10, pp. 1301-1307, Oct. 2002. DOI: https://doi.org/10.1061/(ASCE)0733-9445(2002)128:10(1301)

Z.-H. Zhou and S.-L. Chan, "Elastoplastic and Large Deflection Analysis of Steel Frames by One Element per Member. I: One Hinge along Member," Journal of Structural Engineering, vol. 130, no. 4, pp. 538-544, Apr. 2004. DOI: https://doi.org/10.1061/(ASCE)0733-9445(2004)130:4(538)

C. Ngo-Huu, P.-C. Nguyen, and S.-E. Kim, "Second-order plastic-hinge analysis of space semi-rigid steel frames," Thin-Walled Structures, vol. 60, pp. 98-104, Nov. 2012. DOI: https://doi.org/10.1016/j.tws.2012.06.019

P.-C. Nguyen and S.-E. Kim, "Nonlinear inelastic time-history analysis of three-dimensional semi-rigid steel frames," Journal of Constructional Steel Research, vol. 101, pp. 192-206, Oct. 2014. DOI: https://doi.org/10.1016/j.jcsr.2014.05.009

P.-C. Nguyen and S.-E. Kim, "Investigating effects of various base restraints on the nonlinear inelastic static and seismic responses of steel frames," International Journal of Non-Linear Mechanics, vol. 89, pp. 151-167, Mar. 2017. DOI: https://doi.org/10.1016/j.ijnonlinmec.2016.12.011

P.-C. Nguyen and S.-E. Kim, "A new improved fiber plastic hinge method accounting for lateral-torsional buckling of 3D steel frames," Thin-Walled Structures, vol. 127, pp. 666-675, Jun. 2018. DOI: https://doi.org/10.1016/j.tws.2017.12.031

P. C. Nguyen, B. Le-Van, and S. D. T. V. Thanh, "Nonlinear Inelastic Analysis of 2D Steel Frames :," Engineering, Technology & Applied Science Research, vol. 10, no. 4, pp. 5974-5978, Aug. 2020. DOI: https://doi.org/10.48084/etasr.3600

C. M. Foley and S. Vinnakota, "Inelastic analysis of partially restrained unbraced steel frames," Engineering Structures, vol. 19, no. 11, pp. 891-902, Nov. 1997. DOI: https://doi.org/10.1016/S0141-0296(97)00175-2

L. H. Teh and M. J. Clarke, "Plastic-Zone Analysis of 3D Steel Frames Using Beam Elements," Journal of Structural Engineering, vol. 125, no. 11, pp. 1328-1337, Nov. 1999. DOI: https://doi.org/10.1061/(ASCE)0733-9445(1999)125:11(1328)

X.-M. Jiang, H. Chen, and J. Y. R. Liew, "Spread-of-plasticity analysis of three-dimensional steel frames," Journal of Constructional Steel Research, vol. 58, no. 2, pp. 193-212, Feb. 2002. DOI: https://doi.org/10.1016/S0143-974X(01)00041-4

P.-C. Nguyen and S.-E. Kim, "Nonlinear elastic dynamic analysis of space steel frames with semi-rigid connections," Journal of Constructional Steel Research, vol. 84, pp. 72-81, May 2013. DOI: https://doi.org/10.1016/j.jcsr.2013.02.004

P.-C. Nguyen, N. T. N. Doan, C. Ngo-Huu, and S.-E. Kim, "Nonlinear inelastic response history analysis of steel frame structures using plastic-zone method," Thin-Walled Structures, vol. 85, pp. 220-233, Dec. 2014. DOI: https://doi.org/10.1016/j.tws.2014.09.002

P.-C. Nguyen and S.-E. Kim, "Distributed plasticity approach for time-history analysis of steel frames including nonlinear connections," Journal of Constructional Steel Research, vol. 100, pp. 36-49, Sep. 2014. DOI: https://doi.org/10.1016/j.jcsr.2014.04.012

P.-C. Nguyen and S.-E. Kim, "An advanced analysis method for three-dimensional steel frames with semi-rigid connections," Finite Elements in Analysis and Design, vol. 80, pp. 23-32, Mar. 2014. DOI: https://doi.org/10.1016/j.finel.2013.11.004

P.-C. Nguyen and S.-E. Kim, "Second-order spread-of-plasticity approach for nonlinear time-history analysis of space semi-rigid steel frames," Finite Elements in Analysis and Design, vol. 105, pp. 1-15, Nov. 2015. DOI: https://doi.org/10.1016/j.finel.2015.06.006

A. Saritas and A. Koseoglu, "Distributed inelasticity planar frame element with localized semi-rigid connections for nonlinear analysis of steel structures," International Journal of Mechanical Sciences, vol. 96-97, pp. 216-231, Jun. 2015. DOI: https://doi.org/10.1016/j.ijmecsci.2015.04.005

P.-C. Nguyen and S.-E. Kim, "Advanced analysis for planar steel frames with semi-rigid connections using plastic-zone method," Steel and Composite Structures, vol. 21, no. 5, pp. 1121-1144, Jan. 2016. DOI: https://doi.org/10.12989/scs.2016.21.5.1121

M. N. Nader and A. Astaneh, "Dynamic behavior of flexible, semirigid and rigid steel frames," Journal of Constructional Steel Research, vol. 18, no. 3, pp. 179-192, Jan. 1991. DOI: https://doi.org/10.1016/0143-974X(91)90024-U

A. S. Elnashai and A. Y. Elghazouli, "Seismic behaviour of semi-rigid steel frames," Journal of Constructional Steel Research, vol. 29, no. 1, pp. 149-174, Jan. 1994. DOI: https://doi.org/10.1016/0143-974X(94)90060-4

S.-J. Chen, J. M. Chu, and Z. L. Chou, "Dynamic behavior of steel frames with beam flanges shaved around connection," Journal of Constructional Steel Research, vol. 42, no. 1, pp. 49-70, Apr. 1997. DOI: https://doi.org/10.1016/S0143-974X(97)00011-4

J. G. S. da Silva, L. R. O. de Lima, P. C. G. da S. Vellasco, S. A. L. de Andrade, and R. A. de Castro, "Nonlinear dynamic analysis of steel portal frames with semi-rigid connections," Engineering Structures, vol. 30, no. 9, pp. 2566-2579, Sep. 2008. DOI: https://doi.org/10.1016/j.engstruct.2008.02.011

S.-W. Liu, R. Bai, and S.-L. Chan, "Dynamic Time-history Elastic Analysis of Steel Frames Using One Element per Member," Structures, vol. 8, pp. 300-309, Nov. 2016. DOI: https://doi.org/10.1016/j.istruc.2016.05.006

Y. Yu and X. Zhu, "Nonlinear dynamic collapse analysis of semi-rigid steel frames based on the finite particle method," Engineering Structures, vol. 118, pp. 383-393, Jul. 2016. DOI: https://doi.org/10.1016/j.engstruct.2016.03.063

N. L. Tran and T. H. Nguyen, "Reliability Assessment of Steel Plane Frame's Buckling Strength Considering Semi-rigid Connections," Engineering, Technology & Applied Science Research, vol. 10, no. 1, pp. 5099-5103, Feb. 2020. DOI: https://doi.org/10.48084/etasr.3231

N. W. Bishay-Girges, "Improved Steel Beam-Column Connections in Industrial Structures," Engineering, Technology & Applied Science Research, vol. 10, no. 1, pp. 5126-5131, Feb. 2020. DOI: https://doi.org/10.48084/etasr.3248

N. Konkong, "An Investigation on the Ultimate Strength of Cold-Formed Steel Bolted Connections," Engineering, Technology & Applied Science Research, vol. 7, no. 4, pp. 1826-1832, Aug. 2017. DOI: https://doi.org/10.48084/etasr.1243

W.-F. Chen, Structural Stability: Theory and Implementation, 1st Edition. Englewood Cliffs, N.J.: Prentice Hall, 1987.

European Convention for Constructional Steelwork, S. S. Technical Committee 8, European Convention for Constructional Steelwork, Technical Working Group 8.2, and System, Ultimate limit State calculation of sway frames with rigid joints. Rotterdam, Netherlands: ECCS, 1984.

N. M. Newmark, "A Method of Computation for Structural Dynamics," Journal of the Engineering Mechanics Division, vol. 85, no. 3, pp. 67-94, 1959.

G. Augusti, "Dynamics of structures: Theory and applications to earthquake engineering," Meccanica, vol. 31, no. 6, pp. 719-720, Dec. 1996. DOI: https://doi.org/10.1007/BF00426980

U. Vogel, "Calibrating frames," Stahlbau, vol. 54, pp. 295-301, 1985.

"PEER Ground Motion Database - PEER Center." https://ngawest2.berkeley.edu/ (accessed Oct. 15, 2020).

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[1]
P. C. Nguyen, “Nonlinear Inelastic Earthquake Analysis of 2D Steel Frames”, Eng. Technol. Appl. Sci. Res., vol. 10, no. 6, pp. 6393–6398, Dec. 2020.

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