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Three DOF internal resonance for electromechanical integrated toroidal drive

机译:机电集成环形驱动的三自由度内部共振

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摘要

In this paper, based on the electromechanical coupled nonlinear dynamic equations of the drive system, the analytical solutions of the free vibration under 3-DOF internal resonance are proposed. The analytical solutions of the forced responses under 3-DOF internal resonance are proposed as well when the exciting frequency is far from or near three different natural frequencies. Using these equations, the free vibration and the forced responses of the drive system under 3-DOF internal resonance are investigated. The results show that under internal resonance conditions, the system responses are different when the exciting frequency is near the three different natural frequencies. Some of them correspond to the unstable vibration state. Some correspond to the synthetic responses of the resonance responses and the internal resonance. The amplitudes of the forced responses with internal resonance are relatively large. In order to avoid unfavorable noise and large dynamic load, the internal resonance should be removed in design of the drive system.
机译:基于驱动系统的机电耦合非线性动力学方程,提出了三自由度内共振下自由振动的解析解。当激励频率远离或接近三个不同的固有频率时,还提出了三自由度内共振下强迫响应的解析解。利用这些方程,研究了3-DOF内部共振条件下驱动系统的自由振动和强迫响应。结果表明,在内部共振条件下,当激励频率接近三个不同的固有频率时,系统响应是不同的。其中一些对应于不稳定的振动状态。一些对应于共振响应和内部共振的合成响应。具有内部共振的强制响应的幅度相对较大。为了避免不利的噪声和较大的动态负载,在驱动系统的设计中应消除内部共振。

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