Sound synthesis of a nonlinear string using Volterra series

• Published in: Journal of sound and vibration Vol. 314; no. 1; pp. 275 - 306
• Main Authors: Hélie, Thomas, Roze, David
• Format: Journal Article
• Language: English
• Published: London Elsevier Ltd 01.07.2008; Elsevier
• Subjects: Acoustics; Computer Science; Dirichlet problem; Dynamical systems; Engineering Sciences; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Kernels; Mechanics; Nonlinear dynamics; Nonlinearity; Physics; Signal and Image processing; Solid mechanics; Sound; Strings; Structural mechanics; Transduction; acoustical devices for the generation and reproduction of sound; Vibrations; Sound reproduction; Modal analysis; String; String model; Modeling; Dynamic conditions; Standards; Bridges; Boundary value problem; Volterra series; Filter; Non linear model; Audio acoustics; Dirichlet problem; Non linear effect; Signal synthesis; Volterra equation; Sound synthesis; sound synthesis; nonlinear model; string; volterra series; modal decomposition; analytic solution

This paper proposes to solve and simulate various Kirchhoff models of nonlinear strings using Volterra series. Two nonlinearities are studied: the string tension is supposed to depend either on the global elongation of the string (first model), or on the local strain located at x (second, and more p...