Abstract
We study unsteady oscillations of a Timoshenko beam considering mass transfer. In a general case, the beam is subjected to tensile forces, bending moments and shear forces applied to its ends. Densities of diffusion fluxes are also defined at the ends of the beam. All aforementioned force factors lie in the beam’s plane of bending. We define the problem using a model of unsteady flat bending of an elastodiffusive beam. Solution for the problem is obtained using Laplace transform and Fourier series.
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Zemskov, A.V., Tarlakovskii, D.V. (2020). Modelling of Unsteady Elastic Diffusion Oscillations of a Timoshenko Beam. In: Altenbach, H., Eremeyev, V., Pavlov, I., Porubov, A. (eds) Nonlinear Wave Dynamics of Materials and Structures. Advanced Structured Materials, vol 122. Springer, Cham. https://doi.org/10.1007/978-3-030-38708-2_27
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DOI: https://doi.org/10.1007/978-3-030-38708-2_27
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