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Impact-Rubbing Dynamic Behavior of Magnetic-Liquid Double Suspension Bearing Under Different Protective Bearing Forms

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Impact-Rubbing Dynamic Behavior of Magnetic-Liquid Double Suspension Bearing Under Different Protective Bearing Forms processes Article Impact-Rubbing Dynamic Behavior of Magnetic-Liquid Double Suspension Bearing under Different Protective Bearing Forms Jianhua Zhao 1,2, Lanchun Xing 1, Sheng Li 1, Weidong Yan 1, Dianrong Gao 1 and Guojun Du 2,* 1 Fluid Power Transmission and Control Laboratory, Yanshan University, Qinhuangdao 066004, China; [email protected] (J.Z.); [email protected] (L.X.); [email protected] (S.L.); [email protected] (W.Y.); [email protected] (D.G.) 2 College of Civil Engineering and Mechanics, Yanshan University, Qinhuangdao 066004, China * Correspondence: [email protected] Abstract: The magnetic-liquid double suspension bearing (MLDSB) is a new type of suspension bearing, with electromagnetic suspension as the main part and hydrostatic supports as the auxiliary part. It can greatly improve the bearing capacity and stiffness of rotor-bearing systems and is suitable for a medium speed, heavy load, and frequent starting occasions. Compared with the active electromagnetic bearing system, the traditional protective bearing device is replaced by the hydrostatic system in MLDSB, and the impact-rubbing phenomenon can be restrained and buffered. Thus, the probability and degree of friction and wear between the rotor and the magnetic pole are reduced drastically when the electromagnetic system fails. In order to explore the difference in the dynamic behavior law of the impact-rubbing phenomenon between the traditional protection device and hydrostatic system, the dynamic equations of the rotor impact-rubbing in three kinds of protection devices (fixed ring/deep groove ball bearing/hydrostatic system) under electromagnetic failure mode are established, and the axial trajectory and motion law of the rotor are numerically Citation: Zhao, J.; Xing, L.; Li, S.; simulated. Finally, the dynamic behavior characteristics of the rotor are compared and analyzed. Yan, W.; Gao, D.; Du, G. Impact- The results show that: Among the three kinds of protection devices (fixed ring/deep groove ball Rubbing Dynamic Behavior of bearing/hydrostatic system), the hydrostatic system has the least influence on bouncing time, impact- Magnetic-Liquid Double Suspension rubbing force, and impact-rubbing degree, and the maximum impact-rubbing force of MLDSB is Bearing under Different Protective greatly reduced. Therefore, the protective bear is not required to be installed in the MLDSB. This Bearing Forms. Processes 2021, 9, 1105. study provides the basis for the theory of the “gap impact-rubbing” of MLDSB under electromagnetic https://doi.org/10.3390/pr9071105 failure, and helps to identify electromagnetic faults. Academic Editor: Ján Pitel’ Keywords: magnetic-liquid double suspension bearing; protecting bearing; hydrostatic system; impact-rubbing dynamics; electromagnetic failure Received: 23 March 2021 Accepted: 22 June 2021 Published: 25 June 2021 Publisher’s Note: MDPI stays neutral 1. Introduction with regard to jurisdictional claims in The magnetic-liquid double suspension bearing (MLDSB) is a new type of suspension published maps and institutional affil- bearing, with electromagnetic suspension as the main part and hydrostatic supports as iations. the auxiliary part. With this, the bearing capacity, operation stability, and service life of rotor-bearing systems can be greatly improved. MLDSB is suitable for hydroelectric power, deep-sea exploration, and other fields, especially those that feature a medium speed, heavy load, and frequent starting occasions. Copyright: © 2021 by the authors. The MLDSB Test Table includes a variable speed motor, coupling, radial bearing, axial Licensee MDPI, Basel, Switzerland. bearing, axial loading motor, radial loading motor, step shaft, and frame, as shown in This article is an open access article Figure1[1]. distributed under the terms and The radial bearing includes a rotor, magnetic sleeve, supporting cavity, magnetic pole, conditions of the Creative Commons oil inlet/return hole, shell, and coil, as shown in Figures2 and3[ 1]. The magnetic pole and Attribution (CC BY) license (https:// magnetic guide sleeve were treated with chromium plating to prevent them from being creativecommons.org/licenses/by/ corroded due to their immersion in oil for a long time [2,3]. 4.0/). Processes 2021, 9, 1105. https://doi.org/10.3390/pr9071105 https://www.mdpi.com/journal/processes Processes 2021, 9, x FOR PEER REVIEW 2 of 15 Processes 2021, 9, x FOR PEER REVIEW 2 of 15 Processes 2021, 9, x FOR PEER REVIEW 2 of 15 ProcessesProcesses2021 2021, ,9 9,, 1105 x FOR PEER REVIEWMotor Coupling Radial Bearing Axial Motor 22 of 1515 Motor Coupling Radial Bearing Axial Motor Motor Coupling Radial Bearing Axial Motor Motor Coupling Radial Bearing Axial Motor Axial Bearing Step Shaft Radial Motor Bracket Axial Bearing Step Shaft Radial Motor Bracket FigureAxial Bearing1. MLDSB TestStep ShaftTable. Radial Motor Bracket Figure 1. MLDSB Test Table. Figure 1. MLDSB Test Table. AxialThe Bearing radial bearingStep Shaft includesRadial Motora rotor, Bracketmagnetic sleeve, supporting cavity, magnetic The radial bearing includes a rotor, magnetic sleeve, supporting cavity, magnetic pole,The oil inlet/returnradial bearing hole, includes shell, and a rotor, coil, asmagnetic shown insleeve, Figures supporting 2 and 3 [1].cavity, The magneticmagnetic Figurepole,Figure oil 1.1. MLDSBMLDSBinlet/return TestTest Table. Table.hole, shell, and coil, as shown in Figures 2 and 3 [1]. The magnetic pole,pole andoil inlet/returnmagnetic guide hole, sleeve shell, were and treatedcoil, as wishownth chromium in Figures plating 2 and to 3 prevent [1]. The them magnetic from pole and magnetic guide sleeve were treated with chromium plating to prevent them from polebeing and corroded magnetic due guide to their sleeve immersion were treated in oil wi forth a chromium long time plating[2,3]. to prevent them from beingThe corroded radial duebearing to their includes immersion a rotor, in oilmagnetic for a long sleeve, time supporting[2,3]. cavity, magnetic beingpole, oilcorroded inlet/return due to hole, their shell, immersion and coil, in oilas shownfor a long in Figurestime [2,3]. 2 and 3 [1]. The magnetic Threaded Outlet Hole Hole poleThreaded and magnetic guideOutlet sleeve Hole were treated with chromium plating to prevent them from ThreadedHole OutletInter Hole Hole Hole Plating beingRotor corroded due to theirInter Hole immersion in oil for a long time [2,3]. InterCoil Hole Plating Rotor Plating Rotor Coil Threaded OutletMagneticCoil Hole Hole Inlet Hole MagneticPole Liquid InterMagnetic Hole Film Inlet Hole PoleMagnetic PlatingLiquid InletRotor Hole Pole Liquid Coilsleeve Film Plating Magnetic Film Stator Magnetic sleeve Plating StatorMagneticsleeve Plating Stator Pole Liquid FigureInlet Hole 2. Cutaway view of the Radial Unit. Figure 2. Cutaway view of the Radial Unit. Film Figure 2. Cutaway view of the MagneticRadial Unit. Figure 2. Cutaway view of the Radialsleeve Unit. Plating Stator Magnetic FigureMagneticSleeve 2. Cutaway view of theCoil RadialOutlet Unit. Magnetic Sleeve Coil Outlet Sleeve Coil Outlet Magnetic Shell Magnetic Sleeve Coil OutletShell MagneticPole Shell MagneticPole Pole Threaded ThreadedHoleShell Threaded MagneticCoil Hole Hole CoilPole Coil Inlet Threaded HoleInlet Inlet FigureCoil 3. Photo of the Radial Unit. Figure 3. Photo of the Radial Unit. FigureFigure 3.3. Photo of thethe RadialRadial Unit.Unit. The regulation principleInlet of MLDSB is shown in Figure 4 [1]. The PD control and con- The regulation principle of MLDSB is shown in Figure 4 [1]. The PD control and con- stantTheThe pressure regulation supply principle principle mode areof of MLDSB MLDSBadopted is is inshown shownthe electromagnetic in inFigure Figure 4 [1].4[ 1The system]. The PD control PDand control hydrostatic and andcon- stantFigure pressure 3. Photo ofsupply the Radial mode Unit. are adopted in the electromagnetic system and hydrostatic constantstantsystem, pressure respectively, pressure supply supply to mode realize mode are arereal-time adopted adopted regulation in in the the electromagnetic electromagnetic of the rotor [1]. system system and hydrostatichydrostatic system,system, respectively,respectively, toto realizerealize real-timereal-time regulation regulation of of the the rotor rotor [ 1[1].]. system, respectively, to realize real-time regulation of the rotor [1]. The regulation principleU of MLDSB is shown in Figure 4 [1]. The PD control and con- 01 Power stant pressure supplyU mode are adopted in the electromagnetic system and hydrostatic 01 Amplifier 1 i0-icy UcyU01 Power Reference Ur Power + Amplifier 1 i0-icy system, respectively,ControllerU cyto realize real-time regulation of the rotor [1]. Position Ur Amplifier 1 i0-icy Reference + - Ucy Power Reference Ur Controller y Position + -Uy U02 Amplifier 2i0+icy Position Controller Power x U- U01 Power i +iy1 y y Differential 02 AmplifierPower 2 0 cy y x Uy U02 Amplifier 2i0+icy Measurement Amplifier 1 i0yy-i12cy x DifferentialUcy y Reference Ur+ Differential Throttle 1 MeasurementControllerPressure y2 Position Measurement q1 - Gauge PowerThrottlevalve 1 y2 Pressure y Uy Pressure U02q1AmplifierThrottlevalve 12 i0+icy Relief GaugePump q1 Throttle x Gauge q2 valve 1 y ReliefValve Differential Throttlevalve 2 1 Pump q ReliefValve MeasurementPump 2 Throttlevalve 2 y2 q2 Valve Pressure Throttlevalve 2 q Figure 4. Single DOFGauge control1 systemvalve 1 of MLDSB. Figure 4. Single DOF control system of MLDSB. FigureFigureRelief 4.4. Single DOFDOFPump controlcontrol systemsystemThrottle ofof MLDSB.MLDSB.
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