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

摘要

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.