How Can We Manage Repairing a Broken Finite Vibrating String? Formulations of the Problem

Abstract

Three approaches to solve a well-known IBVP posed for vibrating composite string with piece-wise constant properties have been applied. The main issue of the stufy is the number of the matching conditions to be imposed for the solution to the IBVP to be obtained.

Keywords

• separation of variables
• the laplace transform
• eigenvalues and eigenfunctions
• the energy equation
• the transmission and matching conditions