A model of unsteady mechanodiffusion vibrations of a rectangular orthotropic Timoshenko plate with mixed edge fixing

In the paper, the coupled elastic-diffusion processes arising as a result of unsteady bending vibrations of an orthotropic plate that has a cantilever fastening on one side and hinged support on the sides adjacent to the cantilever have been analyzed. For a mathematical description of physical and mechanical processes, the Timoshenko plate model supplemented with mass transfer equations taking into account the finite speed of propagation of diffusion flows was used. The solution algorithm was based on the use of the equivalent boundary conditions method allowing to express the solution to the problem posed through a known solution to some auxiliary problem of a given class. The nature of the interaction between mechanical and diffusion fields was simulated using the example of a bendable three-component plate.