Collocation Method for Axisymmetric Bending Problems of Circular Thin Plates Based on Barycentric Interpolation

Abstract

Abstract-Collocation method based on barycentric rational interpolation (BRICM) is used in this article to study axisymetric bending problems of circular thin plates in polar coordinates. Unknown function is approximated by barycentric rational interpolation and the discrete algebraic equations of differential equations are obtained by forcing the differential equations to satisfy the value of the discrete nodes. The boundary conditions are imposed by substitution method and the numerical solution can be obtained by solving the differential equations. Numerical calculation example demonstrates that the proposed method for circular thin plates bending problems has the merits of higher computation accuracy, convenient program, simple calculation formulations.