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

DOI

10.2991/ammsa-18.2018.4How to use a DOI?

Keywords

axisymetric bending problems; polar coordinates; barycentric rational interpolation; collocation method

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.

Copyright

© 2018, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Fuhe Ge
AU  - Meiling Zhuang
AU  - Changqing Miao
PY  - 2018/05
DA  - 2018/05
TI  - Collocation Method for Axisymmetric Bending Problems of Circular Thin Plates Based on Barycentric Interpolation
BT  - Proceedings of the 2018 2nd International Conference on Applied Mathematics, Modelling and Statistics Application (AMMSA 2018)
PB  - Atlantis Press
SP  - 17
EP  - 20
SN  - 1951-6851
UR  - https://doi.org/10.2991/ammsa-18.2018.4
DO  - 10.2991/ammsa-18.2018.4
ID  - Ge2018/05
ER  -