Olga Martin, "Non-stationary Response of a Beam for a New Rheological Model," Proof, vol. 2, pp. 5-13, 2022, DOI:10.37394/232020.2022.2.2
Olga Martin. Non-stationary Response of a Beam for a New Rheological Model.
Proof. 2022;2:5-13. 10.37394/232020.2022.2.2
PROOF
Print ISSN: 2944-9162, E-ISSN: 2732-9941 An Open Access International Journal of Applied Science and Engineering
Volume 2, 2022
Non-stationary Response of a Beam for a New Rheological Model
Author:
Abstract: The paper is intended to provide the quasi-static and dynamic analysis of beam with fractional order viscoelastic material model, which was derived from integer order description using the Boltzmann superposition principle. The results were obtained for a fractional Zener model by the techniques of Laplace transform and binomial series. An example proves the accuracy of the solution for a simply-supported beam subjected to a uniform distributed load. Theoretical and numerical solutions can be easily extending to the complex structures configurations.
Keywords:
viscoelastic beam, Euler-Bernoulli beam theory, fractional derivative, Laplace transform, the constitutive law in hereditary integral form, correspondence principle
Pages: 5-13 DOI: 10.37394/232020.2022.2.2WSEAS Transactions on Proof, ISSN / E-ISSN: 2944-9162 / 2732-9941, Volume 2, 2022, Art. #2
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