极坐标下薄板弯曲问题的重心有理插值法

doi:10.3976/j.issn.1002-4026.2016.02.015

Abstract

Abstract:

We apply barycentric rational interpolation collocation method (BRICM) to the bending problem of a thin plate in polar coordinates. It approximates an unknown function with barycentric rational interpolation by compelling a biharmonic equation to equal to the unknown function at discrete nodes, and acquires the discrete algebraic equations of the biharmonic equation. It further denotes the discrete algebraic equations as a matrix by the differential matrix of barycentric rational interpolation. It eventually solves the differential equations with a boundary conditions mixed replacement method. Numerical instances demonstrate that the method has simple calculation formulae for bending problem of a thin plate in polar coordinates, convenient program and high calculation precision.

Key words: polar coordinate, bending problem, barycentric rational interpolation method, biharmonic equation, boundary value problem

CLC Number:

O241

ZHUANG Meiling, WANG Zhaoqing,ZHANG Lei, JI Siyuan. Barycentric rational interpolation collocation method for bending problem of a thin plate in polar coordinates[J].SHANDONG SCIENCE, 2016, 29(2): 82-87.

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Barycentric rational interpolation collocation method for bending problem of a thin plate in polar coordinates

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