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Structural Engineering and Mechanics Volume 61, Number 1, January10 2017 , pages 143-160 DOI: https://doi.org/10.12989/sem.2017.61.1.143 |
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On the attenuation of the axisymmetric longitudinal waves propagating in the bi-layered hollow cylinder made of viscoelastic materials |
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Tarik Kocal and Surkay D. Akbarov
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| Abstract | ||
| The paper studies the attenuation of the axisymmetric longitudinal waves propagating in the bi-layered hollow cylinder made of linear viscoelastic materials. Investigations are made by utilizing the exact equations of motion of the theory of viscoelasticity. The dispersion equation is obtained for an arbitrary type of hereditary operator of the materials of the constituents and a solution algorithm is developed for obtaining numerical results on the attenuation of the waves under consideration. Specific numerical results are presented and discussed for the case where the viscoelasticity of the materials is described through fractional-exponential operators by Rabotnov. In particular, how the rheological parameters influence the attenuation of the axisymmetric longitudinal waves propagating in the cylinder under consideration, is established. | ||
| Key Words | ||
| wave attenuation; wave dispersion; viscoelastic material; characteristic creep time; long-term elastic constants | ||
| Address | ||
| Tarik Kocal: Department of Marine Engineering Operations, Yildiz Campus, 34349 Besiktas, Istanbul, Turkey Surkay D. Akbarov: Department of Mechanical Engineering, Yildiz Technical University, Yildiz Campus, 34349, Besiktas, Istanbul, Turkey; Institute of Mathematics and Mechanics of the National Academy of Sciences of Azerbaijan, 37041, Baku, Azerbaijan | ||