The article describes the problem of unsteady vibrations of a Bernoulli-Euler beam taking
into account the relaxation of temperature and diffusion processes. The initial mathematical …

In this work, we consider a new full von Kármán beam model with thermal and mass
diffusion effects according to the Gurtin‐Pinkin model combined with time‐varying delay …

The unsteady vibrations problem of a simply supported Euler–Bernoulli beam under the
distributed transverse load is considered. For the mathematical problem formulation, we use …

The unsteady problem of a homogeneous isotropic Timoshenko plate bending taken into
account diffusion is considered. The initial mathematical formulation includes a system of …

A class of nonlinear problems modeling thermoelastic extensible plates with rotational
inertia and time-dependent delay in the internal feedback are considered. By virtue of …

We investigated unsteady elastic diffusion vibrations of a rectangular isotropic Timoshenko
plate. For the mathematical problem formulation, a model of coupled elastic diffusion …

The unsteady bending problem of a cantilever elastic‐diffusion homogeneous orthotropic
Bernoulli–Euler beam is considered, taking into account the relaxation of diffusion fluxes …

We study the dynamic behavior of a thermoelastic diffusion beam with rotational inertia and
second sound, clamped at one end and free to move between two stops at the other. The …

We consider an unsteady elastic diffusion vibration problem of an orthotropic Timoshenko
beam on an elastic foundation under a distributed transverse load. The Winkler model is …

In this paper, we consider a new Timoshenko beam model with thermal and mass diffusion
effects according to the Gurtin-Pinkin model. Heat and mass exchange with the environment …