Linear Barycentric Rational Collocation Method for Beam Force Vibration Equation | Zendy

Jin Li | Zendy; Yu Sang | Zendy

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Linear Barycentric Rational Collocation Method for Beam Force Vibration Equation

Author(s) -

Jin Li,

Yu Sang

Publication year - 2021

Publication title -

shock and vibration

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.418

H-Index - 45

eISSN - 1875-9203

pISSN - 1070-9622

DOI - 10.1155/2021/5584274

Subject(s) - barycentric coordinate system , mathematics , vibration , mathematical analysis , rate of convergence , beam (structure) , collocation (remote sensing) , interpolation (computer graphics) , convergence (economics) , geometry , physics , classical mechanics , computer science , motion (physics) , optics , acoustics , computer network , channel (broadcasting) , machine learning , economics , economic growth

The linear barycentric rational collocation method for beam force vibration equation is considered. The discrete beam force vibration equation is changed into the matrix forms. With the help of convergence rate of barycentric rational interpolation, both the convergence rates of space and time can be obtained at the same time. At last, some numerical examples are given to validate our theorem.

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