scholarly journals Longitudinal waves in an elastic rod caused by sudden damage to the foundation

2021 ◽  
pp. 1-1
Author(s):  
Ivan Shatskyi ◽  
Vasyl Perepichka ◽  
Maksym Vaskovskyi
Keyword(s):  
Gordon Equation ◽  
Integral Transformation ◽  
Initial Boundary ◽  
Transformation Method ◽  
Elastic Rod ◽  
Longitudinal Waves ◽  
Initial Boundary Problem ◽  
Klein Gordon ◽  
Integral Transformation Method ◽  
Thin Elastic Layer

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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