Effect of block medium parameters on energy dissipation

TL;DR

This study models energy dissipation in a block medium using a one-dimensional mass-spring-damper system, deriving analytical solutions to understand how medium parameters influence energy loss over time.

Contribution

It introduces an analytical approach to quantify energy dissipation in a block medium, highlighting the effects of medium parameters on energy distribution.

Findings

Energy dissipation depends on medium parameters

Analytical solution describes energy behavior at large times

Model provides insights into energy distribution dynamics

Abstract

This paper describes energy distribution in a block medium simulated by a one-dimensional chain of masses joined by springs and dampers. Equations describing the motion of masses are solved by the methods of the theory of ordinary differential equations. The effect of the block medium parameters on energy dissipation is investigated. An approximate analytical solution is obtained that describes the total energy of a block medium at large values of time.