A Finite-Element Simulation-based Prototyping for Classical Guitars using COMSOL Multiphysics

Abstract

In this paper, a Finite Element Model of a classical guitar was developed, and then compared to empirical data and actual prototypes. Our previous work showed the effects of wood material properties on the vibration modes of a simple model of a classical guitar body without the bracing and air coupling. This paper compares a more comprehensive finite-element model for the coupled string, body and air. Using COMSOL Multiphysics, Eigenfrequency and frequency response simulations were compared to an actual Chladni experiment. A model for D'Addario Pro Arte strings were also developed using manufacturer's specifications. The string model simulation showed 16.68 cents absolute average deviation with 7.21 cents deviation range. Differences on the mode frequencies between the body and the coupled system were also observed. Lastly, the differences between the observed modes of the actual classical guitar and the coupled finite-element model lie within 21% percent.