Dynamic behavior of a two-mass nonlinear fractional-order vibration system

IF 1.9 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Frontiers in Physics Pub Date : 2024-09-04 DOI:10.3389/fphy.2024.1452138
Yu-Xing Han, Jia-Xin Zhang, Yu-Lan Wang
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Abstract

The two-mass nonlinear vocal cord vibration system (VCVS) serves as a mechanical representation of the fundamental vocalization process. Traditional models of the VCVS, which are based on integer-order dynamics, often overlook the impact of memory effects. To address this limitation and enhance the accuracy of simulations, this study incorporates the memory effects of vocal cord vibrations by integrating the Grunwald–Letnikov fractional derivative into the two-mass nonlinear VCVS framework. Initially, a high-precision computational scheme is formulated for the two-mass nonlinear fractional-order VCVS. Subsequently, the model undergoes a comprehensive series of numerical simulations to investigate its dynamic characteristics. The findings reveal that the dynamics of the fractional-order VCVS exhibit a significantly higher complexity compared to the conventional integer-order models, with the emergence of novel chaotic behaviors that were previously unobserved.
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双质量非线性分数阶振动系统的动态行为
双质点非线性声带振动系统(VCVS)是基本发声过程的机械表示。传统的声带振动系统模型以整数阶动力学为基础,往往忽略了记忆效应的影响。为了解决这一局限性并提高模拟的准确性,本研究通过将格伦瓦尔德-列特尼科夫分数导数整合到双质点非线性 VCVS 框架中,纳入了声带振动的记忆效应。首先,为双质量非线性分数阶 VCVS 制定了高精度计算方案。随后,对该模型进行了一系列全面的数值模拟,以研究其动态特性。研究结果表明,与传统的整数阶模型相比,分数阶 VCVS 的动力学表现出明显更高的复杂性,并出现了之前未观察到的新型混沌行为。
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来源期刊
Frontiers in Physics
Frontiers in Physics Mathematics-Mathematical Physics
CiteScore
4.50
自引率
6.50%
发文量
1215
审稿时长
12 weeks
期刊介绍: Frontiers in Physics publishes rigorously peer-reviewed research across the entire field, from experimental, to computational and theoretical physics. This multidisciplinary open-access journal is at the forefront of disseminating and communicating scientific knowledge and impactful discoveries to researchers, academics, engineers and the public worldwide.
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