An Elastodiffusive Orthotropic Euler–Bernoulli Beam Considering Diffusion Flux Relaxation

Mathematical and Computational Applications

Andrei Zemskov¹  Dmitry Tarlakovskii¹ 

[1] Research Institute of Mechanics, Lomonosov Moscow State University, 119192 Moscow, Russia;

关键词: elastic diffusion;    coupled problem;    unsteady problem;    Green’s function;    integral transformation;    multicomponent continuum;    Euler–Bernoulli beam;   

DOI  :  10.3390/mca24010023

来源: DOAJ

【 摘 要 】

This article considers an unsteady elastic diffusion model of Euler⁻Bernoulli beam oscillations in the presence of diffusion flux relaxation. We used the model of coupled elastic diffusion for a homogeneous orthotropic multicomponent continuum to formulate the problem. A model of unsteady bending for the elastic diffusive Euler⁻Bernoulli beam was obtained using Hamilton’s variational principle. The Laplace transform on time and the Fourier series expansion by the spatial coordinate were used to solve the obtained problem.

【 授权许可】

Unknown