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Unsteady Elastic Diffusion Oscillations of a Timoshenko Beam with Considering the Diffusion Relaxation Effects

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Proceedings of the Second International Conference on Theoretical, Applied and Experimental Mechanics (ICTAEM 2019)

Part of the book series: Structural Integrity ((STIN,volume 8))

Abstract

The unsteady Timoshenko beam oscillations with mass transfer considering are investigated. In general formulation, the beam is under the action of tensile forces, bending moments and shearing forces given at its ends. The densities of diffusion fluxes are also given at ends. All the above factors are in the plane of the beam bend. To solve the obtained problem, the Laplace integral transform on time and Fourier series expansion on spatial coordinate are used.

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References

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Correspondence to A. V. Zemskov .

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Afanasieva, O.A., Gafurov, U.S., Zemskov, A.V. (2019). Unsteady Elastic Diffusion Oscillations of a Timoshenko Beam with Considering the Diffusion Relaxation Effects. In: Gdoutos, E. (eds) Proceedings of the Second International Conference on Theoretical, Applied and Experimental Mechanics. ICTAEM 2019. Structural Integrity, vol 8. Springer, Cham. https://doi.org/10.1007/978-3-030-21894-2_37

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  • DOI: https://doi.org/10.1007/978-3-030-21894-2_37

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-21893-5

  • Online ISBN: 978-3-030-21894-2

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