Longitudinal waves in an elastic rod caused by sudden damage to the foundation | Zendy

Ivan Shatskyi | Zendy; V. V. Perepichka | Zendy; M. I. Vaskovskyi | Zendy

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Longitudinal 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

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 , constant (computer programming) , divergence (linguistics) , mathematical analysis , motion (physics) , classical mechanics , physics , mechanics , mathematics , law , computer science , linguistics , philosophy , political science , 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.

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