Dynamic analysis of viscoelastic foundation plate with fractional Kelvin–Voigt model using shifted Bernstein polynomials-Reference-Cited by-同舟云学术

Dynamic analysis of viscoelastic foundation plate with fractional Kelvin–Voigt model using shifted Bernstein polynomials

Published:2023-10-12 Issue:3 Volume:47 Page:1663-1679
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

Qu Jingguo¹²³^ORCID,Zhang Qi¹²³,Cui Yuhuan¹²³,Yang Aimin¹²³⁴⁵,Chen Yiming⁶⁷^ORCID

Affiliation:

1. College of Science North China University of Science and Technology Tangshan China

2. Tangshan Intelligent Industry and Image Processing Technology Innovation Center North China University of Science and Technology Tangshan China

3. The Key Laboratory of Engineering Computing in Tangshan City North China University of Science and Technology Tangshan China

4. Hebei Key Laboratory of Data Science and Application North China University of Science and Technology Tangshan China

5. Hebei Engineering Research Center for the Intelligentization of Iron Ore Optimization and Ironmaking Raw Materials Preparation Processes North China University of Science and Technology Tangshan China

6. School of Science Yanshan University Qinhuangdao China

7. Loire Valley Institute for Advanced Studies Orléans France

Abstract

The fractional Kelvin–Voigt (FKV) viscoelastic constitutive model has been employed to build the fractional differential governing equation of viscoelastic foundation plate. Shifted Bernstein polynomial algorithm is implemented to solve the governing equations on a direct time domain numerically. Furthermore, the validity of the method is demonstrated by convergent analysis and error estimation of a math example. Finally, the dynamic analysis of viscoelastic foundation plate under different uniform loads. The movement of plate with different aspect ratios in viscoelastic foundation under the same load is studied. The stress of viscoelastic foundation plates of two materials under identical loading situations is investigated.

Funder

Natural Science Foundation of Hebei Province

National Natural Science Foundation of China

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.9715

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