Abstract
Based on the asymptotical perturbation method and the Galerkin technique, the hybrid changeable basis Galerkin technique is presented for predicting the nonlinear response of structures. By the idea of changeable basis functions first proposed, it greatly reduces calculation and is easily used in other numerical discretization techniques, such as finite element method etc. It appears to have high potential for solution of nonlinear structural problems. Finally, the effectiveness of this technique is demostrated by means of two numerical examples: the large deflection of circular plates objected to uniform normal load and the large deflection of spherical caps under centrally distributed pressures.
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Communicated by Zhao Xinghua
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Qi, Z., Tianqi, Y. Hybrid changeable basis galerkin technique for nonlinear analysis of structures. Appl Math Mech 16, 667–674 (1995). https://doi.org/10.1007/BF02455251
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DOI: https://doi.org/10.1007/BF02455251