使用标量辅助变量方法快速模拟具有储能边界条件的基尔霍夫-开利弦

Q3 Engineering

IFAC-PapersOnLine Pub Date : 2024-01-01 DOI:10.1016/j.ifacol.2024.08.284

Michele Ducceschi , Alexis Mousseau , Stefan Bilbao , Riccardo Russo

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引用次数: 0

摘要

弦乐振动模型多种多样；线性模型在音乐声学中很常见，但对复杂现象缺乏准确性。对于较高振幅下的音高滑行和模态耦合，非线性项是必要的。逼真的边界条件至关重要，但往往因为简单而被忽视。本研究针对具有储能边界的非线性弦提出了一种高效的时间步进程序，该程序源于标量辅助变量法，允许使用谢尔曼-莫里森公式进行快速反演。

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

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-Morisson formula.

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来源期刊

IFAC-PapersOnLine Engineering-Control and Systems Engineering

CiteScore

1.70

自引率

0.00%

发文量

1122

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