期刊论文详细信息
Mathematical and Computational Applications | |
An Elastodiffusive Orthotropic Euler–Bernoulli Beam Considering Diffusion Flux Relaxation | |
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