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

  • O. A. Afanasieva
  • U. S. Gafurov
  • A. V. ZemskovEmail author
Conference paper
Part of the Structural Integrity book series (STIN, volume 8)


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.


Mechanodiffusion Elastic diffusion Timoshenko beam Unsteady oscillations 


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • O. A. Afanasieva
    • 1
  • U. S. Gafurov
    • 1
    • 2
  • A. V. Zemskov
    • 1
    • 2
    Email author
  1. 1.Moscow Aviation Institute (National Research University)MoscowRussia
  2. 2.Institute of Mechanics, Lomonosov Moscow State UniversityMoscowRussia

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