Fast simulation of the Kirchhoff-Carrier string with an energy-storing boundary condition using a Scalar Auxiliary Variable approach

Michele Ducceschi, Alexis Mousseau, Stefan Bilbao, Riccardo Russo

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract / Description of output

Various string vibration models exist; linear models are common in musical acoustics but lack accuracy for complex phenomena. Nonlinear terms are necessary for pitch glides and modal couplings at higher amplitudes. Realistic boundary conditions are vital, often overlooked for simplicity. This study proposes an efficient time-stepping routine for nonlinear strings with energy-storing boundaries, derived from the Scalar Auxiliary Variable method, allowing fast inversion using the Sherman-Morrison formula.
Original languageEnglish
Title of host publicationProceedings of the 8th IFAC Workshop on Lagrangian and Hamiltonian Methods for Non Linear Control
PublisherElsevier
Pages1-6
Number of pages6
Publication statusAccepted/In press - 15 Apr 2024

Publication series

NameIFAC Papers Online
ISSN (Electronic)2405-8963

Keywords / Materials (for Non-textual outputs)

  • numerical methods
  • Hamiltonian dynamics
  • geometric mechanics

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