Boundary Element Method For Solving Nonlinear Boundary Value Of String Vibration Problem

Abstract

String instruments mainly produce sound through the vibration of the string and the panel This paper mainly wants to simulate a model composed of strings Tighten one side and use an imaginary spring to vibrate the strings slightly on the other side and then add air resistance so that the energy of the entire model will slowly dissipate Non-linear boundary conditions cannot be solved by analytical methods to obtain the wave equation so we use the boundary element method based on the wave equation and the Fourier series to simulate the vibration of the real string instrument panel It is hoped that through the boundary element method and its own mathematical ability a set of models that can emit almost the same tone and behavior as the real stringed instrument can be created

Date of Award	2020
Original language	English
Supervisor	Shih-Yu Shen (Supervisor)