Position and Velocity Time Delay for Suppression Vibrations of a Hybrid Rayleigh-Van der Pol-Duffing Oscillator

IF 0.9 Q4 ACOUSTICS

Sound and Vibration Pub Date : 2020-01-01 DOI:10.32604/sv.2020.08469

Y. A. Amer, A. T. El-Sayed, M. El-Salam

引用次数: 3

Abstract

In this paper, we used time delay feedback to minimize the vibrations of a hybrid Rayleigh–van der Pol–Duffing oscillator. This system is a one-degree-offreedom containing the cubic and fifth nonlinear terms and an external force. We applied the multiple scales method to get the solution from first approximation. Graphically and numerically, we studied the system before and after adding time delay feedback at the primary resonance case ( ffi !). We used MATLAB program to simulate the efficacy of different parameters and the time delay on the main system.

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位置和速度时滞抑制混合雷-范德波尔-达夫芬振荡器振动

在本文中，我们使用时间延迟反馈最小化混合瑞利-范德波尔-达夫芬振荡器的振动。该系统是一个包含三次和五次非线性项和一个外力的一自由度系统。我们应用多尺度法从一阶近似得到解。从图形和数值上研究了在主共振情况下(ffi !)加入延时反馈前后的系统。利用MATLAB程序模拟了不同参数对主系统的影响和延时。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Sound and Vibration 物理-工程：机械

CiteScore

1.50

自引率

33.30%

发文量

审稿时长

>12 weeks

期刊介绍： Sound & Vibration is a journal intended for individuals with broad-based interests in noise and vibration, dynamic measurements, structural analysis, computer-aided engineering, machinery reliability, and dynamic testing. The journal strives to publish referred papers reflecting the interests of research and practical engineering on any aspects of sound and vibration. Of particular interest are papers that report analytical, numerical and experimental methods of more relevance to practical applications. Papers are sought that contribute to the following general topics: -broad-based interests in noise and vibration- dynamic measurements- structural analysis- computer-aided engineering- machinery reliability- dynamic testing