Static Pushover Analysis of Frame Structure Based on Force Analogy Method
HAO Runxia1, WANG Mouting1, JIA Shuo2, LI Gang2
1. Civil Engineering School, Inner Mongolia University of Science and Technology, Baotou 014010, China; 2. State Key Laboratory of Costal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China
Abstract：In traditional pushover analysis, solving nonlinear deformation need to update and decompose global stiffness matrix in real time, which costs many computing resources. The static pushover analysis for nonlinear fiber beam element is conducted on the basis of the force analogy method (FAM). Firstly, the elastic displacement under the lateral load was calculated by the factorization of elastic stiffness matrix before the iteration of nonlinear deformation. Secondly, the computational cost of back iteration was decreased by utilizing the factorization result of elastic stiffness matrix and elastic displacement during iterations. Finally, the algorithm complexity theory was utilized to evaluate the efficiency of the proposed algorithm and a classical method. The computational results and algorithm time complexity of the two methods were compared through a numerical results of 2D eight-floor frame structure. Results show that with two methods the vertex displacement-base shear curve basically coincides as well as the story drift curve, and the maximum error of story drift is on the 3rd floor with 3.72%. Compared with the traditional method, the algorithm complexity of the proposed method is decreased about 80%, and its computing efficiency is increased at least five times.
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