Nonlinear Analysis of R/C Frame under Static and Cyclic Loadings


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This paper proposes a reliable and computationally efficient finite-element model (Partial Fiber Model) for the nonlinear analysis of reinforced concrete (R/C) frames under static and cyclic loading conditions that induce multiaxial bending and axial forces. The beam-column member is composed of three parts: middle elastic and two plastic regions at the two ends of beam. The plastic regions are discretized into longitudinal steel reinforcement and concrete fiber elements. The nonlinear behaviors of the elements are derived from the nonlinear stress-strain relations of the steel and concrete fibers. The global stiffness matrix of beam-column can be deduced from those of mentioned three parts. Numerical examples are calculated to prove the accuracy and efficiency of the model. The results of nonlinear analysis show the validity of the model to describe the nonlinear response of frame subjected to static and cyclic loadings.



Key Engineering Materials (Volumes 340-341)

Edited by:

N. Ohno and T. Uehara




L. C. Zhou and L. Z. Chen, "Nonlinear Analysis of R/C Frame under Static and Cyclic Loadings", Key Engineering Materials, Vols. 340-341, pp. 1387-1392, 2007

Online since:

June 2007




[1] E. Spacone, F.F. Taucer and F.C. Filippou: Earthq. Eng. Struct. Dyn Vol. 25 (1996), p.711.

[2] R.W. Clough, K.L. Benuska, and E.L. Wilson: Third World Conference on Earthquake Engineering, Vol. 11 (1965), p.125.

[3] M.F. Giberson: J. Struct. Eng. ASCE Vol. 95 (1969), p.137.

[4] H. Takizawa, H. Aoyama: Earthq. Eng. Struct. Dyn Vol. 4 (1976), p.523.

[5] S. Otani: J. Struct. Eng. ASCE Vol. 100 (1974), p.1433.

[6] S.S. Lai, G .T. Will and S. Otani: J. Struct. Eng. ASCE Vol. 110 (1984), p.2563.

[7] J. Yang, S Mehdi: J. Struct. Eng. ASCE Vol. 4 (1990), p.1018.

[8] Z.P. Bazant: J. Eng. Mech. ASCE Vol. 102 (1976), p.331.

[9] D. Soleimani: Reinforced Concrete Ductile Frame Under - Earthquake Loading With Stiffness Degradation (Ph. D Dissertation, University of California, Berkeley. 1978).

[10] C. Meyer, M.S. Roufaiel, and S.G. Arzoumanidis: Earthq. Eng. Struct. Dyn Vol. 11 (1983), p.207.

[11] L.P. Darvall and P. Mendis: J. Struct. Eng. ASCE Vol. 11 (1985), p.871.

[12] J.Y.R. Liew and L.K. Tang in: Nonlinear refined plastic hinge analysis of space frame structures (CE027/98, National University of Singapore. 1998).

[13] T. Takayanagi and W.C. Schnobrich: Earthq. Eng. Struct. Dyn Vol. 7 (1979), p.1.

[14] F.C. Filippou and A. Issa: Nonlinear Analysis of Reinforced Concrete Frames under Cyclic Load Reversals (EERC Report 88-12. 1988).

[15] S. Kaba and S.A. Mahin: Refined modeling of reinforced concrete columns for seismic analysis (EERC Report 84/03. 1984).

[16] F.F. Taucer, E. Spacone and F.C. Filippou: A fiber beam-column element for seismic response analysis of reinforced concrete structures (EERC Report 91/17. 1991).

[17] M. Petrangeli, P.E. Pinto and V. Ciampi: J. Eng. Mech. ASCE Vol. 125 (1999), p.994.

[18] F.C. William: Documentation of Strengths and Weaknesses of Current Computer Analysis Methods for Seismic Performance of Reinforced Concrete Members (PEER Report 1999/07. 1999).

[19] T. Paulay and M.J.N. Priesley: Seismic Design of Reinforced Concrete and Masonry Buildings (John Wiley & Sons, Inc., New York 1992).

[20] Y.M.Y. Mohd: Nonlinear analysis of prestressed concrete structures under monotonic and cyclic loads (Ph. D Dissertation, University of California, Berkeley. 1994).

[21] F.J. Vecchio: ACI Struct. J Vol. 96 (1999), p.193.

[22] H.X. Liu: Seismic hazard of Tangshan earthquake (Earthquake publishing house, Beijing. 1986)(in Chinese).