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1. Shifted Bernstein–Legendre polynomial collocation algorithm for numerical analysis of viscoelastic Euler–Bernoulli beam with variable order fractional model.

Author

Cui, Yuhuan, Qu, Jingguo, Han, Cundi, Cheng, Gang, Zhang, Wei, and Chen, Yiming

Subjects
*NUMERICAL analysis, *LEGENDRE'S polynomials, *BERNSTEIN polynomials, *POLYNOMIALS, *ALGORITHMS, *COLLOCATION methods
Abstract

In this paper, a kinetic equation of Euler–Bernoulli beam is established with variable order fractional viscoelastic model. An effective numerical algorithm is proposed. This method uses a combination of shifted Bernstein polynomial and Legendre polynomial to approximate the numerical solution. The effectiveness of the algorithm is tested and verified by mathematical examples. The dynamic behavior of viscoelastic beams made of two materials under various loading conditions is studied. [ABSTRACT FROM AUTHOR]

Published
2022
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