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Open AccessArticle

A New Concept of Instantaneous Whirling Speed for Cracked Rotor’s Axis Orbit

School of Traffic and Transportation Engineering, Central South University, Changsha 410075, China
State Key Laboratory for Manufacturing Systems Engineering, Xi’an Jiaotong University, Xi’an 710049, China
College of Mechanical Engineering, Chongqing University, Choangqing 400044, China
Author to whom correspondence should be addressed.
Appl. Sci. 2019, 9(19), 4120;
Received: 24 August 2019 / Revised: 22 September 2019 / Accepted: 24 September 2019 / Published: 2 October 2019
(This article belongs to the Special Issue Fault Diagnosis of Rotating Machine)
At present, the axis orbit (whirling) and the instantaneous angular speed (spinning) are important symptoms in the condition monitoring of rotor systems. However, because of the lack of research of the transient characteristics of axis orbit within a whirl cycle, the axis orbit cannot reflect the instantaneous characteristics of the rotation during one whirling cycle like the instantaneous angular speed. Therefore, in this paper, a new concept of instantaneous whirling speed of axis orbit within a whirling cycle is proposed and defined. In addition, the transient characteristics of instantaneous whirling speed are studied. Meanwhile, the response mechanisms are qualitative analyzed through the study of the work of the additional stiffness excitation and the conversion relationship between the kinetic energy and the potential energy. Then, the minimum of the relative instantaneous whirling speed (RWS) is proposed as a potential monitoring index for crack severity. The instantaneous whirling speed is a new attribute of axis orbit and a new perspective for the vibration analysis of cracked rotors. The addition of this new attribute significantly increases the effect of axis orbit for distinguishing normal and cracked rotors. The new analysis perspective and the new diagnosis index are potential supplements for crack diagnosis. View Full-Text
Keywords: axis orbit; instantaneous whirling speed; response mechanism; crack diagnosis axis orbit; instantaneous whirling speed; response mechanism; crack diagnosis
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MDPI and ACS Style

Xie, J.; Chen, J.; Peng, Y.; Zi, Y. A New Concept of Instantaneous Whirling Speed for Cracked Rotor’s Axis Orbit. Appl. Sci. 2019, 9, 4120.

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