Numerical analysis of nonlinear variable fractional viscoelastic arch based on shifted Legendre polynomials-Reference-Cited by-同舟云学术

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Numerical analysis of nonlinear variable fractional viscoelastic arch based on shifted Legendre polynomials

Published:2021-03-16 Issue:11 Volume:44 Page:8798-8813
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Meth Appl Sci

Author:

Cao Jiawei¹,Chen Yiming¹²^ORCID,Wang Yuanhui¹,Zhang Hua³

Affiliation:

1. School of Science Yanshan University Qinghuangdao Hebei 066004 China

2. University Bourgogne Franche‐Comté, FEMTO‐ST Institute, CNRS/ENSMM/UTBM, Department of Applied Mechanics Besançon 25000 France

3. College of Architectural Engineering and Mechanics Yanshan University Qinghuangdao Hebei 066004 China

Funder

Natural Science Foundation of Hebei Province

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.7306

Reference42 articles.

1. Fractional Order Generalized Information

2. Vibration analysis of complex fractional viscoelastic beam structures by the wave method

3. A generalised fractional derivative model to represent elastoplastic behaviour of metals

4. A variable order fractional constitutive model of the viscoelastic behavior of polymers

5. Variable-order fractional description of compression deformation of amorphous glassy polymers

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1. An analytical approach for shock response of fractional viscoelastic beams with tip mass;Journal of Vibration and Control;2024-04-03

2. Modeling and dynamic analysis of axially moving variable fractional order viscoelastic plate;Mathematical Methods in the Applied Sciences;2023-12-07

3. Dynamic analysis of viscoelastic foundation plate with fractional Kelvin–Voigt model using shifted Bernstein polynomials;Mathematical Methods in the Applied Sciences;2023-10-12

4. Fractional-Order Zener Model with Temperature-Order Equivalence for Viscoelastic Dampers;Fractal and Fractional;2023-09-28

5. Analysis of the variable‐order fractional viscoelastic modeling with application to polymer materials;Polymers for Advanced Technologies;2023-05-11

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