Synchronization phenomenon in a vibrating system driven by four eccentric rotors mounted in the orthogonal plane

IF 2.8 3区工程技术 Q2 MECHANICS

International Journal of Non-Linear Mechanics Pub Date : 2024-09-25 DOI:10.1016/j.ijnonlinmec.2024.104917

Xiaozhe Chen, Chengbin Zhang, Weiye Shi, Mutian Ban

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引用次数: 0

Abstract

The engineering application of vibration synchronization of multiple eccentric rotors (ERs) with the same rotational plane in far resonance is limited due to the constraints of motion characteristics and resultant force cancellation. Therefore, a dynamic model of four ERs distributed in two orthogonal planes is proposed in this paper, which is designed to increase the excitation force and drive the vibrating body to achieve the motion in a straight line. Based on the governing equation corresponding to the dynamic model firstly, the synchronous condition of four ERs and its stability condition are deduced. Then, the phase relationship of four ERs is obtained by numerical analysis, and the resultant force of four ERs in each phase difference is further studied to determine the motion trajectory of the vibrating body. Lastly, theoretical results are verified by four sets of experiments, which show that there are two stable motion states of the system. In each motion state, the resultant force of four ERs is increased compared to two ERs, and the system also moves in a straight line. Therefore, the model presented in this paper can provide a theoretical basis for designing large vibration machinery.

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由安装在正交平面上的四个偏心转子驱动的振动系统中的同步现象

由于受到运动特性和结果力抵消的限制，多个具有相同旋转平面的偏心转子（ER）远共振振动同步的工程应用受到了限制。因此，本文提出了分布在两个正交平面上的四个 ER 的动力学模型，旨在增加激振力，驱动振动体实现直线运动。首先，根据动态模型对应的控制方程，推导出四个 ER 的同步条件及其稳定条件。然后，通过数值分析获得四个 ER 的相位关系，并进一步研究四个 ER 在每个相位差中的结果力，从而确定振动体的运动轨迹。最后，通过四组实验验证了理论结果，结果表明系统存在两种稳定的运动状态。在每种运动状态下，四个 ER 的结果力都比两个 ER 的结果力大，而且系统还做直线运动。因此，本文提出的模型可为大型振动机械的设计提供理论依据。

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

International Journal of Non-Linear Mechanics 物理-力学

CiteScore

5.50

自引率

9.40%

发文量

192

审稿时长

67 days

期刊介绍： The International Journal of Non-Linear Mechanics provides a specific medium for dissemination of high-quality research results in the various areas of theoretical, applied, and experimental mechanics of solids, fluids, structures, and systems where the phenomena are inherently non-linear. The journal brings together original results in non-linear problems in elasticity, plasticity, dynamics, vibrations, wave-propagation, rheology, fluid-structure interaction systems, stability, biomechanics, micro- and nano-structures, materials, metamaterials, and in other diverse areas. Papers may be analytical, computational or experimental in nature. Treatments of non-linear differential equations wherein solutions and properties of solutions are emphasized but physical aspects are not adequately relevant, will not be considered for possible publication. Both deterministic and stochastic approaches are fostered. Contributions pertaining to both established and emerging fields are encouraged.