Computational Mechanics of the Classical Guitar

Computational Mechanics of the Classical Guitar describes a new dynamic paradigm in instrument acoustics based on time-dependent transient analysis and simulation of complete musical instruments. It describes the current state of theoretical and experimental research into the guitar for engineers, instrument makers and musicians. This includes a summary of the basic equations for the mechanics of vibrating bodies and a presentation of the FDM (finite difference method) model with which the true vibrational behaviour of the instrument as an entire system can be understood for the first time. This monograph presents various new theoretical and experimental results and insights into guitar playing such as the coupling between the strings and the top plate or a description of the finger noise made when the fingers slide over the strings before plucking.This book performs a state-of-the-art finite-difference calculation of the complete geometry of the classical guitar as a time-stepping application. It provides insight into the overall behaviour as well as the finite structure mechanisms of this musical instrument. Fundamental problems of coupling, nonlinearities, noise or time reversion, complex modelling solutions, and modern signal processing tools are discussed. Also musicologists, musicians or instrument builders can find explanations and may also be inspired by aspects of musical timbre, the sounding and time-dependent qualities of the different guitar parts. The work helps to suggest new geometrical and timbral solutions in modern guitar performance. §Rolf Bader studied systematic musicology, physics, ethnology, and music history at the University of Hamburg, Germany. He currently works and performs as a guitarist in the field of jazz, modern classical music and improvisation. His work focuses on the musical timbre in acoustics, music psychology and physiology. Since 2002 he has been teaching acoustics, finite-element and finite-difference methods at the University of Hamburg and has been working on several projects in musical acoustics. His ethnological work on the music and cultural interchange in Southeast Asia, especially about Bali and Nepal includes cultural and historical but also acoustical aspects.