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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
