Analysis of a fractional viscoelastic Euler-Bernoulli beam and identification of its piecewise continuous polynomial order-Reference-Cited by-同舟云学术

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Analysis of a fractional viscoelastic Euler-Bernoulli beam and identification of its piecewise continuous polynomial order

Published:2023-08-18 Issue:5 Volume:26 Page:2337-2360
ISSN:1311-0454
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:Fract Calc Appl Anal

Author:

Li Yiqun,Wang Hong,Zheng Xiangcheng

Funder

National Science Foundation

National Natural Science Foundation of China

Taishan Scholars Program of Shandong Province

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Link

https://link.springer.com/content/pdf/10.1007/s13540-023-00193-w.pdf

Reference63 articles.

1. Adams, R.A., Fournier, J.J.: F: Sobolev Spaces. Elsevier, New York (1975)

2. Ashurov, R., Umarov, S.: Determination of the order of fractional derivative for subdiffusion equations. Fract. Calc. Appl. Anal. 23(6), 1647–1662 (2020). https://doi.org/10.1515/fca-2020-0081

3. Bagley, R.L.: Power law and fractional calculus model of viscoelasticity. AIAA J. 27(10), 1412–1417 (1989)

4. Banks, H.T., Inman, D.J.: On damping mechanisms in beams. J. Appl. Mech. 58(3), 716–723 (1991)

5. Bonfanti, A., Kaplan, J.L., Charras, G., Kabla, A.: Fractional viscoelastic models for power-law materials. Soft Matter. 16(26), 6002–6020 (2020)

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Bernstein polynomials in analyzing nonlinear forced vibration of curved fractional viscoelastic beam with viscoelastic boundaries;Acta Mechanica;2024-05-15

2. Inverting mechanical and variable-order parameters of the Euler–Bernoulli beam on viscoelastic foundation;Journal of Inverse and Ill-posed Problems;2024-01-30

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