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On the Finite Difference Method Based on the Principle of Variation of the Bending Problem of Plate with Beam-strengthened Edges

Author: WangMengZuo
Tutor: QuXiaoGang
School: Xi'an University of Architecture and Technology
Course: Computational Mathematics
Keywords: Combination elastic structure Edge beam Natural boundary conditions Variational principle Variational - Difference Method
CLC: O241.82
Type: Master's thesis
Year: 2007
Downloads: 43
Quote: 0
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Abstract


Side beams reinforced with plate bending problem , the equilibrium equation model for the fourth-order boundary value problems for elliptic partial differential equations , which relate to the natural boundary conditions along the plate edges tangent and normal direction higher order derivatives , for non- uniform, varying the thickness of the plate , the problem also has a \This problem is the variational model start variational - Difference method to construct the boundary value problem of a differential format. Since the method is capable of binding equilibrium equation model boundary conditions along the edge of the board to eliminate the higher order derivative terms , therefore , the resulting difference operator depends only on the plate surface mesh nodes, and keep the difference operator symmetry positive definite nature . Meanwhile, for the resulting differential equations written MATLAB program , will have to get on a computer algorithm was simulated and compared with the existing literature calculations . The results showed that the proposed algorithm has given a higher accuracy, the algorithm can be used to quantitatively bulletin board edge beam interaction with the law , to provide reference for engineering design .

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CLC: > Mathematical sciences and chemical > Mathematics > Computational Mathematics > Numerical Analysis > The numerical solution of differential equations, integral equations > Numerical Solution of Partial Differential Equations
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