Xu Gong-Ming, Shen Da-Rong. Geometrically Nonlinear Analysis of Laminated Anisotropic Plates by Weighted - Residual Method[J]. Engineering Mechanics, 1985, 2(3): 20-29.
Citation: Xu Gong-Ming, Shen Da-Rong. Geometrically Nonlinear Analysis of Laminated Anisotropic Plates by Weighted - Residual Method[J]. Engineering Mechanics, 1985, 2(3): 20-29.

Geometrically Nonlinear Analysis of Laminated Anisotropic Plates by Weighted - Residual Method

  • Geometrically nonlinear problems of laminated anisotropic plates have always been tedious, complicated ones which causes a lot of laboure, and there is considerable limitation in various previous solving method, owing to the complex nature of the governing equations and the boundary value problem.This paper suggest that a simple, direct and effective method——weighted-residual method be applied to solve this kind of Complicated problem,by taking the combination of quintic B-Spline functions, which have fine fitness and flexible adaptability to boundary conditions, as the basis of try-function, and then using the damping least square method. A comparative universal program has been organized.As shown by some concrete examples, the presented method possesses those advantages,such as stability in convergence and accuracy in results. Furthermore tho solving process is simple, direct and integrative, and convenient for standardizing programes and extending application.
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