Advanced Steel Construction

Vol. 5, No. 4, pp. 500-514 (2009)


TOTAL AND INCREMENTAL ITERATION FORCE RECOVERY PROCEDURE FOR THE NONLINEAR ANALYSIS OF FRAMED STRUCTURES

 

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: 22 May 2008; Revised: 6 August 2008; Accepted: 20 August 2008

DOI:10.18057/IJASC.2009.5.4.9

 

ABSTRACT:

Co-rotational formulation is suitable for the incremental-iterative nonlinear analysis of framed structure which can be divided into three stages: the predictor, corrector and error-checking phases. The corrector or force recovery procedure determines the accuracy of the solution while the predictor affects only the convergence speed and direction of iteration. This paper details the formulation of the incremental-iterative nonlinear analysis of framed structure with PEP element and reviews the present existing force recovery procedures. A new force recovery method is proposed and compared with total secant iteration method and pure incremental method. It is found through three numerical examples that this incremental iteration force recovery procedure has a convergence rate comparable to total secant iteration method and it is recommended for path-dependent analysis.

 

Keywords:Nonlinear analysis; framed structures; force recovery procedure; steel frame

 

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