Open AccessTimoshenko beam and plate non-stationary vibrations
Author(s) -
G. V. Fedotenkov,
Andrey V. Gritskov Gritskov,
Dmitry Y. Levitskiy,
Yana A. Vahterova,
Yonghui Sun
Publication year - 2021
Publication title -
incas buletin
Language(s) - English
Resource type - Journals
eISSN - 2247-4528
pISSN - 2066-8201
DOI - 10.13111/2066-8201.2021.13.s.5
Subject(s) - laplace transform , superposition principle , timoshenko beam theory , vibration , fourier transform , beam (structure) , mathematical analysis , sine and cosine transforms , plate theory , fourier series , mathematics , integral transform , function (biology) , physics , fourier analysis , boundary value problem , optics , acoustics , short time fourier transform , evolutionary biology , biology
The problems of Timoshenko beams and plates lateral vibrations under the influence of unsteady loads are considered. Both beam and plate is supposed to be unlimited. In case of the plate the problem has been simply studied. The approach to the solution was based on dominant function method and principle of superposition. Integral models of solutions with cores as dominant functions were built which could be analytically found with the help of the Fourier and Laplace integral transforms. Two original analytical methods for Fourier and Laplace transforms were offered and realized. The examples of calculations were given.