Advanced Steel Construction 

Vol. 6, No. 1, pp. 567-577 (2010)


 

TOTAL INCREMENTAL ITERATIVE FORCE RECOVERY METHOD AND THE APPLICATION IN PLASTIC HINGE ANALYSIS OF STEEL FRAMES

 

Fawu Wang 1,* and Yaopeng Liu 2

1 Department of Civil Engineering, Nanjing University of Aeronautics and Astronautics, Yudao Street, Nanjing, China

2 Department of Civil and Structural Engineering, The Hong Kong Polytechnic University, Hunghom, Kowloon, Hong Kong

*(Corresponding author: E-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.)

Received: 15 January 2008; Revised: 15 February 2008; Accepted: 20 October 2008

 

DOI:10.18057/IJASC.2010.6.1.3

 

View Article   Export Citation: Plain Text | RIS | Endnote

ABSTRACT

In this paper a total incremental iterative force recovery method suitable to plastic hinge analysis is proposed and it is found that this incremental iteration force recovery procedure has a convergence rate comparable to total secant method. The incremental force recovery manner makes this method be capable of recovering member internal forces and deformations correctly and conveniently in the existence of plastic hinge. The capability of the proposed total incremental iterative force recovery method to cope with plastic hinge is illustrated by two benchmark examples.

KEYWORDS

Nonlinear analysis; steel frames; force recovery procedure; plastic hinge


REFERENCES

[1]      Wang, F.W. and Liu, Y.P., “Total and Incremental Iteration Force Recovery Procedure for the Nonlinear Analysis of Framed Structures”, Advanced Steel Construction, 2009, Vol. 5, pp.500-514.

[2]      Liew, J.Y.R., White, D.W. and Chen, W.F., “Second-order Refined Plastic-hinge Analysis for Frame Design. Part I”, Journal of Structural Engineering, ASCE, 1993, Vol. 119, pp. 3196-3216.

[3]      Liew, J.Y.R., White, D.W. and Chen W.F., “Second-order Refined Plastic-hinge Analysis for Frame Design. Part II”, Journal of Structural Engineering, ASCE, 1993, Vol. 119, pp. 3217-3237.

[4]      Zhou, Z.H. and Chan, S.L., “Elastoplastic and Large Deflection Analysis of Steel Frames by One Element Per Member. I: One Hinge Along Member”, Journal of Structural Engineering, ASCE, 2004, Vol. 130, pp. 538-544.

[5]      Chan, S.L. and Zhou, Z.H., “Elastoplastic and Large Deflection Analysis of Steel Frames by One Element Per Member. II: Three Hinges Along Member”, Journal of Structural Engineering, ASCE, 2004, Vol. 130, pp. 545-553.

[6]      Yang, Y.B., Lin, S.P. and Leu, L.J., "Solution Strategy and Rigid Element for Nonlinear Analysis of Elastically Structures Based on Updated Lagrangian formulation", Engineering Structures, 2007, Vol. 29, pp. 1189-1200.

[7]      Chan, S.L. and Chui, P.P.T., “Non-linear Static and Cyclic Analysis of Steel Frames with Semi-rigid Connections”, Elsevier Science Ltd., 2000.

[8]      Chen, H., ‘‘Nonlinear Inelastic Analysis of Steel-concrete Composite Frames.” PhD thesis, Dept. of Civil Engineering, National Univ. of Singapore, Singapore, 2000.

[9]       Liew, J. Y. R., Chen, H., Shanmugam, N.E. and Chen, W.F., “Improved Nonlinear Plastic Hinge Analysis of Space Frame Structures’’, Engineering Structures, 2000, Vol. 22, No.. 10, pp. 1324–1338.

[10]     Liew, J.Y.R., and Tang, L.K., ‘‘Advanced Plastic Hinge Analysis For the Design of Tubular Space Frames”, Engineering Structures, 2000, Vol. 22, No. 7, pp. 769–783.

[11]     Wang, F.W. and Chan, S.L., “Optimization and Sensitivity Analysis of Space Frames Allowing for Large Deflection”, Engineering Structures, 2006, Vol. 28, pp. 1395-1406.

[12]     Chan, S.L. and Kitipornchai, S., “Geometric Nonlinear Analysis of Asymmetric Thin-walled Beam-columns”, Engineering Structures, 1987, Vol.9, pp. 243-254.

[13]     Gu, J.X., “Large Displacement Elastic Analysis of Space Frames Allowing for Flexural-torsional Buckling of Beams”, Dept. of Civil and Structural Engineering, Hong Kong Polytechnic University, Hong Kong, 2004.

[14]     Chan, S.L. and Zhou, Z.H., “Pointwise Equilibrating Polynomial Element for Nonlinear Analysis of Frames”, Journal of Structural Engineering, 1994, Vol. 120, No. 6, pp. 1703-1717.

[15]     Iu, C.K. and Chan, S.L., “A Simulation-based Large Deflection and Inelastic Analysis of Steel Frames under Fire”. Journal of Constructional Steel Research, 2004, Vol. 60, pp. 1495-524.

[16]     Iu, C.K., “Inelastic Finite Element Analysis of Composite Beam on the Basis of Plastic Hinge Approach”, Engineering Structures, 2008, Vol. 30, pp. 291-302.

[17]     Toma, S. and Chen, W.F., “European Calibration Frames for Second-order Inelastic Analysis”, Engineering Structures, 1992, Vol. 14, No. 1, pp. 7-14.