Diffusion and Persistence of Rotor/Stator Synchronous Full Annular Rub Response Under Weak Random Perturbations
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ORIGINAL PAPER
Diffusion and Persistence of Rotor/Stator Synchronous Full Annular Rub Response Under Weak Random Perturbations Kongming Guo1 · Jun Jiang2 · Zigang Li3 Received: 25 May 2019 / Revised: 14 July 2019 / Accepted: 17 July 2019 © Krishtel eMaging Solutions Private Limited 2019
Abstract Purpose In this paper, the diffusion and persistence of synchronous full annular rub in a rotor/stator system under weak random disturbances are studied. Methods and Results First, the model of the rotor/stator rubbing system and the global response characteristics of the corresponding deterministic system are introduced. Then the diffusion features of the synchronous full annular rub response under small random perturbation are quantified and visualized using the stochastic sensitivity function for the discrete-time systems. The shape of the density distribution of the rotor orbit under different noise intensities and rotation speeds are compared and discussed. Finally, using the confidence ellipsoid of the response, the mechanism of noise-induced escape from the synchronous full annular rub to a large amplitude response of dry friction backward whirl is revealed, and the persistence of full annular rub response responses under different conditions is discussed and analyzed in detail. Conclusions The results may be helpful in studying complex phenomena in random-disturbed rotor/stator rubbing systems. Keywords Rotor/stator rubbing systems · Synchronous full annular rub · Stochastic attractors · Stochastic sensitivity function · Noise-induced escape
Introduction Rotating machinery is an important basic equipment in the economy and defense construction. It is widely used in energy, power, chemical, aerospace and other fields. In the design of rotating machinery, safety is an important factor to be considered. The rubbing between rotor and stator occurs when the deformation of the rotor becomes greater than the clearance between them. The modern rotating machinery possesses the characters of small clearance, light structure, high speed and high load, thus the risk of rotor/stator rubbing greatly increases. Although the rubbing between the rotor and the stator is a kind of secondary malfunction, once * Jun Jiang [email protected] 1
Research Center of Applied Mechanics, School of Mechano‑Electronic Engineering, Xidian University, Xi’an 710071, China
2
State Key Laboratory for Strength and Vibration, Xi’an Jiaotong University, Xi’an 710049, China
3
Department of Mechanics, Xi’an University of Science and Technology, Xi’an 710054, China
it occurs, the dynamic characteristics of the whole rotor system will be changed decisively and become rubbing dominated. In particular, when the self-excited dry friction backward whirl (dry whip) is induced during rubbing, seals or blades can be broken in a few seconds. Therefore, the rubbing between the rotor and stator has been paid much attention by engineers and researchers in the past 30 years. Numerous research works in the literature about the rotor/ stator
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