Fractional modelling and numerical simulations of variable-section viscoelastic arches

Rongqi Dang and Yiming Chen

Applied Mathematics and Computation, 2021, vol. 409, issue C

Abstract: In this paper, two fractional viscoelastic constitutive models are used to establish nonlinear fractional integro-differential governing equations of variable-section viscoelastic arches. Shifted Chebyshev polynomial algorithm is introduced to numerically solve the governing equations directly in time domain. The feasibility and accuracy of the proposed algorithm are verified by convergence analysis and error estimation of a mathematical example. In addition, the dynamic responses of variable-section viscoelastic arches with three materials under two fractional models are also studied to verify the effectiveness of shifted Chebyshev polynomial algorithm.

Keywords: Viscoelastic arches; Nonlinear fractional integro-differential equations; Shifted Chebyshev polynomial algorithm; Numerical solutions; Fractional constitutive models (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:409:y:2021:i:c:s0096300321004653

DOI: 10.1016/j.amc.2021.126376

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