Mixed geometrical-material sensitivity analysis for the study of complex phenomena in musical acoustics

Abstract

The behavior of stringed musical instruments have historically been investigated primarily through experimental studies and simplified analytical models. In this study, a physics-based model of a violin is used to determine the most influential design and environmental factors impacting its vibrational behavior. A global sensitivity analysis is performed based on the frequency responses of the violin and includes geometric and material properties as well as climatic conditions. In particular, this study attempts to provide a better physical understanding of the bridge hill effect.