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Hybrid changeable basis galerkin technique for nonlinear analysis of structures
Authors:Zhao Qi  Ye Tianqi
Institution:1. Shanghai University Shangha Institute of Applied Methematics and Mechanics, Shanghai 200072. P.R.China; 2. Northwestern Polytechnical University, Xi'an 710072. P.R.China
Abstract:Based on the asynptotical perturbation method and the Galerkin Itechnique.thehybrid changeable basis Galerkin technique is presented for predicting the nonlinearresponse of structures. By the. idea of changeable basis functions first proposed, itgreatly reduces calculation and is easily used in other numerical diseretizationtechniques,such as finite element method etc.,It appears to have high potential forsolution of nonlinear srtyctyrak oribkrbts.Finally, the effectiveness of this technique isdemonstrate by means of two numerical examples: the large deflection of circularplates objected to uniform normal load and the large deflection of spherical caps undercentrally distributed pressures.
Keywords:nonlinear  changcable basis function  asymptotical perturbationmethod  Galerkin technique
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