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Application of the Largest Lyapunov Exponent for the Diagnosis of Rotor-to-Stator Rub in Rotating Machinery

机译:最大Lyapunov指数在旋转机械中诊断转子摩擦的应用

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Vibration based diagnosis has played a vital role in the crucial analysis of faults in rotating machinery. The conventional vibration techniques currently being used in the industry are however not able to effectively identify nonlinear or complex signals due to, for example, rotor-to-stator rub. This paper reports on the application of the largest Lyapunov Exponent λ_1 to diagnose the severity of rotor-to-stator rub in rotating machinery. The method of time delay was employed to reconstruct the vibration signal obtained from numerical simulation of a Jeffcott rotor subjected to rotor-to-stator rub. Numerical results show clear correlation between the increase of rub severity with the invariant quantity λ_1 investigated in this work. Two different algorithms for the computation of λ_1 were employed in this research, namely the Wolf algorithm and the Rosenstein algorithm.
机译:振动诊断在旋转机械故障的关键分析中发挥了至关重要的作用。然而,目前在行业中使用的传统振动技术不能有效地识别由于例如转子到定子摩擦而导致的非线性或复杂信号。本文报告了最大Lyapunov指数λ_1的应用诊断转子到定子摩擦的严重程度。采用时间延迟方法来重建从经过转子到定子摩擦的Jeffcott转子的数值模拟中获得的振动信号。数值结果表明,在这项工作中调查的不变数量λ_1,摩擦严重程度的增加之间的相关性。本研究采用了两个不同算法的λ_1,即狼算法和罗森斯坦算法。

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