Open AccessLongitudinal waves in an elastic rod caused by sudden damage to the foundation
Author(s) -
Ivan Shatskyi,
V. V. Perepichka,
M. I. Vaskovskyi
Publication year - 2021
Publication title -
theoretical and applied mechanics/theoretical and applied mechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.279
H-Index - 6
eISSN - 2406-0925
pISSN - 1450-5584
DOI - 10.2298/tam200615001s
Subject(s) - foundation (evidence) , laplace transform , boundary value problem , physics , constant (computer programming) , classical mechanics , divergence (linguistics) , mechanics , mathematical analysis , transformation (genetics) , mathematics , computer science , law , linguistics , philosophy , biochemistry , chemistry , political science , gene , programming language
We study the problem of propagating longitudinal waves in an elastic rod connected to a locally damaged foundation through a thin elastic layer. The motion of the rigid foundation blocks is considered predetermined. We formulated the initial-boundary problem for the Klein?Gordon equation with a discontinuous right-hand side. The nonstationary fields of displacements, velocities, and deformations were investigated by the Laplace integral transformation method. Examples of sudden divergence of fragments of the foundation by a given value and their mutual separation at a constant speed are considered.