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Journal articles on the topic 'Radial static unbalance of the rotor'

Author: Grafiati

Published: 28 May 2022

Last updated: 31 July 2025

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1

Meeus, Hans, Jakob Fiszer, Gabriël Van De Velde, et al. "Dynamic Performance of a Squeeze Film Damper with a Cylindrical Roller Bearing under a Large Static Radial Loading Range." Machines 7, no. 1 (2019): 14. http://dx.doi.org/10.3390/machines7010014.

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Turbomachine rotors, supported by little damped rolling element bearings, are generally sensitive to unbalance excitation. Accordingly, most machines incorporate squeeze film damper technology to dissipate mechanical energy caused by rotor vibrations and to ensure stable operation. When developing a novel geared turbomachine able to cover a large power range, a uniform mechanical drivetrain needs to perform well over the large operational loading range. Especially, the rotor support, containing a squeeze film damper and cylindrical roller bearing in series, is of vital importance in this respe

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2

Martsynkovskyy, Volodymyr, Oleksii Zhulov, and Czeslaw Kundera. "Analysis of the Radial-Axial Oscillations of the Rotor of a High-Speed Pump." Applied Mechanics and Materials 630 (September 2014): 341–49. http://dx.doi.org/10.4028/www.scientific.net/amm.630.341.

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The joint radial-axial oscilations of onemass model of rotor of high-speed pump are considered taking into account hydrodynamic forces, arising up in the radial clearance of annular seals. Connection of axial oscilations with radial is conditioned by dependence of conductivity of annular throttle, consequently, and axial force of balancing device, from the excentricity of shaft in the annular collar. amplitude and phase frequency characteristics of the forced oscilations, excited by harmonically changing pressure and static unbalance.

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3

Nässelqvist, Mattias, Rolf Gustavsson, and Jan-Olov Aidanpää. "Experimental and Numerical Simulation of Unbalance Response in Vertical Test Rig with Tilting-Pad Bearings." International Journal of Rotating Machinery 2014 (2014): 1–10. http://dx.doi.org/10.1155/2014/309767.

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In vertically oriented machines with journal bearing, there are no predefined static radial loads, such as dead weight for horizontal rotor. Most of the commercial software is designed to calculate rotordynamic and bearing properties based on machines with a horizontally oriented rotor; that is, the bearing properties are calculated at a static eccentricity. For tilting-pad bearings, there are no existing analytical expressions for bearing parameters and the bearing parameters are dependent on eccentricity and load angle. The objective of this paper is to present a simplified method to perform

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4

Natesan, Sivaramakrishnan, Karuna Kalita та Venkatesu Samala. "Numerical and Experimental Investigation of Bridge Currents of an Induction Machine Equipped with Bridge Conﬁgured Winding". International Journal of Electrical and Computer Engineering (IJECE) 5, № 6 (2015): 1262. http://dx.doi.org/10.11591/ijece.v5i6.pp1262-1274.

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<p class="CM1">An eccentric rotor motion imbalances the magnetic ﬁeld distribution in the air-gap region. Due to this uneven ﬂux density distribution, a net radial force called Unbalanced Magnetic Pull (UMP) is in action towards the shortest air-gap. This UMP can degrade the machine’s performance. UMP can be controlled by a special kind of winding called Bridge Conﬁgured Winding (BCW). The BCW winding is a single set of winding which is used to produce the torque as well as the controllable force. The main contribution of this paper is to inspect the ﬂow of bridge currents in the bridges

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5

Yang, Zebin, Xi Chen, Xiaodong Sun, Chunfeng Bao, and Jiang Lu. "Rotor radial disturbance control for a bearingless induction motor based on improved active disturbance rejection control." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 38, no. 1 (2019): 138–52. http://dx.doi.org/10.1108/compel-05-2018-0217.

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Purpose The purpose of this paper is to handle the problem of the radial disturbance caused by rotor mass unbalance and load change in a bearingless induction motor (BIM). Design/methodology/approach The active disturbance rejection controller (ADRC) is used to replace the traditional PI controller, and a cubic interpolation method is used to fit the nonlinear function of ADRC, so as to improve the control performance. Meanwhile, a disturbance observer is applied to the suspension system, and the observed disturbance acceleration is compensated to the suspension system in the form of current;

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6

Zhao, J. Y., I. W. Linnett, and L. J. McLean. "Subharmonic and Quasi-Periodic Motions of an Eccentric Squeeze Film Damper-Mounted Rigid Rotor." Journal of Vibration and Acoustics 116, no. 3 (1994): 357–63. http://dx.doi.org/10.1115/1.2930436.

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When a squeeze-film damper is operated eccentrically, the nonlinear damper forces are no longer radially symmetric and subharmonic and quasi-periodic vibrations may be excited by the rotor unbalance. In this study, the unbalance response of a rigid rotor, supported on an eccentric squeeze film damper, is first approximated by a harmonic series whose coefficients are determined by the collocation method, together with a nonlinear least-square regression. The stability of the resulting periodic solution is then examined using the Floquet transition matrix method. For sufficiently large values of

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7

Mahdiuon-Rad, S., S. R. Mousavi-Aghdam, M. Reza Feyzi, and M. B. B. Sharifian. "Analysis of PM Magnetization Field Effects on the Unbalanced Magnetic Forces due to Rotor Eccentricity in BLDC Motors." Engineering, Technology & Applied Science Research 3, no. 4 (2013): 461–66. http://dx.doi.org/10.48084/etasr.296.

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This paper investigates both static and dynamic eccentricities in single phase brushless DC (BLDC) motors and analyzes the effect of the PM magnetization field on unbalanced magnetic forces acting on the rotor. Three common types of PM magnetization field patterns including radial, parallel and sinusoidal magnetizations are considered. In both static and dynamic eccentricities, harmonic components of the unbalanced magnetic forces on the rotor are extracted and analyzed. Based on simulation results, the magnetization fields that produce the lowest and highest unbalanced magnetic forces are det

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8

He, Yu-Ling, Meng-Qiang Ke, Fa-Lin Wang, Gui-Ji Tang, and Shu-Ting Wan. "EFFECT OF STATIC ECCENTRICITY AND STATOR INTER-TURN SHORT CIRCUIT COMPOSITE FAULT ON ROTOR VIBRATION CHARACTERISTICS OF GENERATOR." Transactions of the Canadian Society for Mechanical Engineering 39, no. 4 (2015): 767–81. http://dx.doi.org/10.1139/tcsme-2015-0061.

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This paper investigates the radial rotor vibration characteristics under static air-gap eccentricity and stator inter-turn short circuit composite faults. The air-gap magnetic flux density is firstly deduced to obtain the unbalanced magnetic pull (UMP) on rotor. Then the rotor vibration characters, as well as the developing trend between the faulty parameters and the vibration amplitudes, are analyzed. Finally, the experiments are taken on a SDF-9 type simulating generator. It is shown that the radial deformation possibility, the 2nd, 4th, and 6th harmonic vibrations will be caused by the comp

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9

Goroshko, Andrii, Maryna Zembytska, and Vadym Paiuk. "Induction Motor Vibrations Caused by Mechanical and Magnetic Rotor Eccentricity." Journal of Engineering Sciences 11, no. 1 (2024): D66—D77. http://dx.doi.org/10.21272/jes.2024.11(1).d8.

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Vibration reduction of induction motors is a significant problem that requires effective models for the effects of mechanical and electromagnetic unbalanced forces. This article presents a mathematical model of dynamics for induction motors with rotor mass eccentricity and static and dynamic magnetic eccentricity. The model allows for the influence of the gyroscopic torque of the rotor and considers the elastic-damping characteristics of each of the stator supports and their location. The model has eight degrees of freedom, which makes it possible to simulate transverse and axial vibrations of

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10

Goldman, Paul, Agnes Muszynska, and Donald E. Bently. "Thermal Bending of the Rotor Due to Rotor-to-Stator Rub." International Journal of Rotating Machinery 6, no. 2 (2000): 91–100. http://dx.doi.org/10.1155/s1023621x00000099.

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The rotor thermal bending due to the rotor-to-stator rubbing can lead to one of three types of observed rotor lateral motion: (1) spiral with increasing amplitude, (2) oscillating between rub]no-rub conditions, and (3) asymptotical approach to the rotor limit cycle. Based on the machinery observations, it is assumed in the analytical part of the paper that the speed scale of transient thermal effects is considerably lower than that of rotor vibrations, and that the thermal effect reflects only on the rotor steady-state vibrational response. This response would change due to thermally induced b

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11

He, Yu-Ling, Wei-Qi Deng, Gui-Ji Tang, Xiao-Ling Sheng, and Shu-Ting Wan. "Impact of Different Static Air-Gap Eccentricity Forms on Rotor UMP of Turbogenerator." Mathematical Problems in Engineering 2016 (2016): 1–13. http://dx.doi.org/10.1155/2016/5284815.

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Theoretical analysis and numerical FEM calculations, together with segmental experiment studies, are used to study the impact of the static air-gap eccentricity forms on the rotor unbalanced magnetic pull (UMP) of turbogenerator. The universal expression of the magnetic flux density under different forms of SAGE is firstly deduced, based on which the detailed UMP formulas for the normal condition and three SAGE cases are obtained, respectively. Then the exciting characteristics of the UMP for each SAGE form to generate vibrations are analyzed. Finally, numerical FEM calculations and segmental

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12

Gong, Lei, Yu Li, Wenjuan Luo, Jingwen Chen, Zhiguang Hua, and Dali Dai. "Speed Estimation Method of Active Magnetic Bearings Magnetic Levitation Motor Based on Adaptive Sliding Mode Observer." Energies 18, no. 6 (2025): 1539. https://doi.org/10.3390/en18061539.

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The installation distance between the speed sensor of the traditional rolling or sliding bearing permanent magnet synchronous motor and the rotor was very close, and the rotor of the magnetic levitation motor supported by Active Magnetic Bearings (AMBs) was in suspension. When the motor was running at high speed, the radial trajectory of the rotor changed all the time. The same frequency vibration caused by the unbalanced mass of the rotor made it easy to cause mechanical collision between the sensor and the rotor, resulting in direct damage of the sensor. Therefore, the sensorless speed estim

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13

Zarzour, Mark, and John Vance. "Experimental Evaluation of a Metal Mesh Bearing Damper." Journal of Engineering for Gas Turbines and Power 122, no. 2 (2000): 326–29. http://dx.doi.org/10.1115/1.483214.

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Metal mesh is a commercially available material used in many applications including seals, heat shields, filters, gaskets, aircraft engine mounts, and vibration absorbers. This material has been tested by the authors as a bearing damper in a rotordynamic test rig. The test facility was originally used to support the design of a turboprop engine, developing squirrel cages and squeeze film dampers for both the gas generator and power turbine rotors. To design the metal mesh damper, static stiffness and dynamic rap test measurements were first made on metal mesh samples in a specially designed no

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14

Sun, Shaonan, Guihong Feng, Yan Li, and Bingyi Zhang. "Static and Dynamic Magnetic Pull in Modular Spoke-Type Permanent Magnet Motors." Energies 16, no. 10 (2023): 4078. http://dx.doi.org/10.3390/en16104078.

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This work studied the static magnetic pull of a modular spoke-type permanent magnet motor (MSTPMM) with no rotor eccentricity during the motor’s final assembly process and its dynamic magnetic pull during different motor operating states. A new final assembly scheme was proposed to significantly reduce the static magnetic pull during the final assembly process of the motor. The methods required to reduce the unbalanced radial magnetic pull of the whole stator, which is caused by partial stator module operation, were also studied. Firstly, the structure of the MSTPMM was examined. The static ma

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15

Han, Bangcheng, Shiqiang Zheng, and Xiquan Liu. "Unbalanced Magnetic Pull Effect on Stiffness Models of Active Magnetic Bearing due to Rotor Eccentricity in Brushless DC Motor Using Finite Element Method." Mathematical Problems in Engineering 2013 (2013): 1–10. http://dx.doi.org/10.1155/2013/745912.

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We firstly report on an investigation into the unbalanced magnetic pull (UMP) effect on the static stiffness models of radial active magnetic bearing (RAMB) in brushless DC motor (BDCM) in no-loaded and loaded conditions using the finite element method (FEM). The influences of the UMP on the force-control current, force-position, current stiffness, and position stiffness of RAMB are clarified in BDCM with 100 kW rated power. We found the position stiffness to be more susceptible to UMP. The primary source of UMP is the permanent magnets of BDCM. In addition, the performance of RAMB is affected

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16

Bou-Saïd, Benyebka, Mustapha Lahmar, Ahcène Mouassa, and Bachir Bouchehit. "Dynamic Performances of Foil Bearing Supporting a Jeffcot Flexible Rotor System Using FEM." Lubricants 8, no. 2 (2020): 14. http://dx.doi.org/10.3390/lubricants8020014.

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Aerodynamic bearings have received considerable attention in recent decades and are increasingly being used in applications where high speed, low loads and high precision are required. Aerodynamic applications mainly concern auxiliary power units (APU) and air-conditioning machines (ACM). From the industrial point of view, the static and dynamic characteristics of these bearings rotating at very high speed must be determined. According to the literature, studies carried out on this type of bearing consider the elastic deformations of the foils due to the pressure generated in the air film. The

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17

Riquelme, Danilo, Carlos Madariaga, Werner Jara, Gerd Bramerdorfer, Juan A. Tapia, and Javier Riedemann. "Study on Stator-Rotor Misalignment in Modular Permanent Magnet Synchronous Machines with Different Slot/Pole Combinations." Applied Sciences 13, no. 5 (2023): 2777. http://dx.doi.org/10.3390/app13052777.

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Addressing stator-rotor misalignment, usually called eccentricity, is critical in permanent magnet (PM) machines since significantly high radial forces can be developed on the bearings, which can trigger a major fault and compromise the structural integrity of the machine. In this regard, this paper aims to provide insight into the unaddressed identification and analysis of the impact of eccentric tolerances on relevant performance indices of permanent magnet synchronous machines (PMSMs) with modular stator core. Static and dynamic eccentricity are assessed for different slot/pole combinations

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18

Zhao, Yulan, Pingfan Liu, Qichao Lv, Kai Zhang, and Lei Zhao. "Stability Assessment of the High-Speed Flywheel with AMBs on a Rotating Platform." Energies 17, no. 11 (2024): 2746. http://dx.doi.org/10.3390/en17112746.

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With the continuous improvement of the performance and capabilities of spacecrafts, the application of active magnetic bearings (AMBs) has become a major focus in current research. The AMBs-flywheel system is not only responsible for attitude control but also provides the required energy during shadow periods. In magnetically suspended single gimbal control moment gyroscope (SGCMG), self-excited vibration caused by high-speed rotor rotation significantly affects the stability of the AMB system. The research focus lies in magnetically supporting the flywheel at high speeds with low power consum

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19

Arman, Rizky, and Yovial Mahyoedin. "Studi Prediksi Analitik Posisi Bantalan (Journal Bearing) Pada Turbin Gas." JURNAL KAJIAN TEKNIK MESIN 6, no. 1 (2021): 52–59. http://dx.doi.org/10.52447/jktm.v6i1.4516.

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AbstrakBantalan menyediakan antarmuka utama antara bagian-bagian mesin yang bergerak dan tidak bergerak. Bantalan memberikan sebagian besar kekakuan dan redaman untuk struktur yang bergerak. Dapat dimengerti bahwa gaya dinamis yang dikembangkan pada bagian yang bergerak ditransmisikan ke bagian stasioner melalui bantalan penyangga utama ini. Gaya tersebut dapat berupa beban radial statis karena berat rotor, atau mungkin gaya dinamis karena mekanisme seperti ketidakseimbangan massa. Dalam kedua kasus tersebut, bantalan radial harus membawa beban yang diterapkan, atau mesin akan mengalami kegaga

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20

Parziale, Marc, Luca Lomazzi, Marco Giglio, and Francesco Cadini. "Physics-Informed Neural Networks for the Condition Monitoring of Rotating Shafts." Sensors 24, no. 1 (2023): 207. http://dx.doi.org/10.3390/s24010207.

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Condition monitoring of rotating shafts is essential for ensuring the reliability and optimal performance of machinery in diverse industries. In this context, as industrial systems become increasingly complex, the need for efficient data processing techniques is paramount. Deep learning has emerged as a dominant approach due to its capacity to capture intricate data patterns and relationships. However, a prevalent challenge lies in the black-box nature of many deep learning algorithms, which often operate without adhering to the underlying physical characteristics intrinsic to the studied phen

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21

Cui, Li, and Qing Sheng Wang. "On the Bifurcation of Periodic Motion of Rotor Ball Bearing System Considering Five Degrees of Freedom." Advanced Materials Research 945-949 (June 2014): 707–10. http://dx.doi.org/10.4028/www.scientific.net/amr.945-949.707.

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Nonlinear bearing forces of ball bearing under five-dimensional loads are given, and five-DOF dynamic equations of rotor ball bearing system are constructed. Bifurcation of periodic motion of rotor ball bearing system in unbalance-rotating speed and radial clearance-rotating speed parametric domains are studied by use of continuation-shooting algorithm. Results show that the way of bifurcation and stability of period-1 motion vary with radial clearance and unbalance.

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22

Li, Qihan, Litang Yan, and J. F. Hamilton. "Investigation of the Steady-State Response of a Dual-Rotor System With Intershaft Squeeze Film Damper." Journal of Engineering for Gas Turbines and Power 108, no. 4 (1986): 605–12. http://dx.doi.org/10.1115/1.3239954.

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This paper presents an analysis of the steady-state unbalance response of a dual-rotor gas turbine engine with a flexible intershaft squeeze film damper using a simplified transfer matrix method. The simplified transfer matrix method is convenient for the evaluation of the critical speed and response of the rotor system with various supports, shaft coupling, intershaft bearing, etc. The steady-state unbalance response of the rotor system is calculated for different shaft rotation speeds. The damping effects of an intershaft squeeze film damper with different radial clearances under various lev

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23

Chen, Hong Wei, and Rong Jie Wang. "Cause Analysis and Diagnosis of Unbalanced Vibration of Rotor." Advanced Materials Research 765-767 (September 2013): 2180–84. http://dx.doi.org/10.4028/www.scientific.net/amr.765-767.2180.

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The paper starts from from the rotor unbalance fault, and analyze the reasons of unbalanced rotor are improper design, material defects, process and assemble error, process problem; Summarizes the frequency spectrum characteristics of rotor unbalance, its features, frequency components of speed have protruding peak on spectrum diagram of detection in radial direction;Puts forward the diagnosis methods of Unbalanced vibration, the first step is to analyze vibration signal frequency components, then analyze its characteristics of vibration in the direction of the change of amplitude and phase. P

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24

Riva'i, Muhamad, and Nanda Pranandita. "Analisis Unbalance pada Media Pembelajaran Vibrasi Berdasarkan Sinyal Getaran." Prosiding Sains Nasional dan Teknologi 12, no. 1 (2022): 181. http://dx.doi.org/10.36499/psnst.v12i1.7011.

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Analisis kerusakan pada suatu sistem rotating machine yang disebabkan oleh ketidakseimbangan putaran pada rotor (rotor unbalance) menyebabkan umur pakai mesin tersebut menurun. Meningkatnya biaya pemeliharaan terhadap mesin akan menjadi kendala bagi perusahaan dengan banyaknya waktu berhenti mesin (breakdown maintenance). Salah satu kerusakan yang terjadi diakibatkan unbalance komponen pada mesin. Rotor unbalance yang sering terjadi pada suatu mesin yang berputar (rotating machine) terbagi 3 jenis yakni static unbalance, couple unbalance dan gabung kedua kondisi yakni dynamic unbalance. Rotor

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25

Shen, X. Y., J. H. Jia, M. Zhao, and J. P. Jing. "Coupled torsional-lateral vibration of the unbalanced rotor system with external excitations." Journal of Strain Analysis for Engineering Design 42, no. 6 (2007): 423–31. http://dx.doi.org/10.1243/03093247jsa304.

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The coupled torsional-lateral model of the rotor system is set up and governing equations are derived using the Lagrange approach with six degrees of freedom. The gyroscopic effect and gravity are included. Two kinds of unbalance, namely static unbalance and dynamic unbalance, are considered in the rotor system. Torsional and lateral motions are subjected to external excitations. Through numerical simulation, the developed model is used and the coupled torsional-lateral vibrations of the unbalanced rotor system under external excitations are investigated. Some new phenomena are found and discu

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26

Zhu, Yi Li, and Long Xiang Xu. "The Radial Stiffness and Application of Double-Decker Ball Bearing." Key Engineering Materials 450 (November 2010): 353–56. http://dx.doi.org/10.4028/www.scientific.net/kem.450.353.

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Single Decker Ball Bearing (SDBB) is widely used in Rotor-Bearing system. A new method using DDBB composed of two ball bearings as support bearings is proposed. The mechanical model of the DDBB based on the quasi-dynamic method is established and the corresponding calculating program compiled in Matlab is developed after considering the radial load, axial load, centrifugal force as well as gyroscopic moment acted on the bearing simultaneously. And then a simple Rotor-DDBB model is adopted to analyze the rotor unbalance response with different parameters. The simulation results show that shaft

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27

Mamontov, Oleksandr. "The vibration method to measure static unbalance of rigid rotors." Ukrainian Metrological Journal, no. 1 (March 28, 2025): 34–40. https://doi.org/10.24027/2306-7039.1.2025.325890.

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A vibration method to measure static unbalance of rigid rotors has been developed. The method is based on measuring the period of free oscillations of a system consisting of a pendulum frame and a rotor. After installing and fixing the rotor on the frame, free oscillations of the system are generated, and the period is measured. The position of the rotor is changed, rotating it around its axis by one hundred and twenty degrees, and the oscillation period is measured again. The previous operation is repeated. The rotor unbalance and unbalance angle are calculated using the formulas. The paper d

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28

Jamadar, I. M. "A Model To Estimate Synchronous Vibration Amplitude For Detection of Unbalance in Rotor-Bearing System." International Journal of Acoustics and Vibration 26, no. 2 (2021): 161–69. http://dx.doi.org/10.20855/ijav.2021.26.21756.

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A numerical technique for detection of unbalance magnitude of a rotor-bearing system is proposed and verified by experimental analysis. Dimensional analysis is used for development of mathematical model of an unbalanced rotor-bearing system following rigid rotor approach. A developed mathematical model is solved by factorial regression analysis method using the experimental data obtained by a Box-Behnken design. The proposed approach integrates the rotor parameters, disc parameters, bearing parameters and operating conditions with the synchronous vibration amplitude. Confirmation experiments a

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29

Kreuzinger-Janik, T., and H. Irretier. "Experimental Modal Analysis – A Tool for Unbalance Identification of Rotating Machines." International Journal of Rotating Machinery 6, no. 1 (2000): 11–18. http://dx.doi.org/10.1155/s1023621x00000026.

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In this paper a method is proposed for unbalance identification ofelastic rotors. The method is essentially based on the rotordynamic theory combined with experimental modal analysis and allows to identify the unbalance distribution on the complete rotor. A rotor test rig designed for rotordynamic experiments, modal analysis and especially for the unbalance identification has been developed. It allows an arbitrary excitation with a particularly developed noncontact magnetic exciter, as well as measuring vibrations in radial direction with non-contact laser sensors and eddy currents. Special ef

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30

Pagano, Stefano, Ernesto Rocca, Michele Russo, and Riccardo Russo. "Instability Threshold of a Rigid Rotor-Tilting Pad Journal Bearings System." International Journal of Rotating Machinery 3, no. 3 (1997): 199–213. http://dx.doi.org/10.1155/s1023621x97000195.

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The stability of a rigid rotor supported on radial tilting pad journal bearings is analysed. This study has been tackled both for small unbalance values by linearising the equations of motion, and also in the case where, because of the high unbalance value, the rotor axis describes orbits with an amplitude such that the system's non-linearity cannot be ignored. In both cases the system's stable operation maps have been obtained and verified through numerical integration of the differential equations of motion.

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31

Zeng, Shan, Sigui Luo, Fei Wang, Xifan Lan, Xinrui Ma, and Yuxin Lu. "The Nonlinear Dynamic Characteristics of an Industrial Turbine Engine with Eccentric Squeeze Film Dampers." Applied Sciences 13, no. 24 (2023): 13325. http://dx.doi.org/10.3390/app132413325.

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Squeeze film dampers are often used to suppress vibration in turbine engines and play an important role in rotor systems. In this paper, the nonlinear dynamic characteristics of an industrial turbine engine fitted with squeeze film dampers are investigated with the static eccentricity of the SFDs. A recently developed time domain technique that combines the finite element method and the fixed interface modal synthesis method is applied to predict the nonlinear unbalance response of the industrial turbine engine under different unbalanced and static eccentricity configurations. By comparing the

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32

Zhang, H. B., L. Zhou, and Ying Xue Yao. "Research of the Static Balance for Spherical Rotor." Applied Mechanics and Materials 10-12 (December 2007): 528–32. http://dx.doi.org/10.4028/www.scientific.net/amm.10-12.528.

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For spherical rotor of gyroscope and some other high speed rotor, static balance is important. The paper introduces a static balance method for spherical rotor: the position of the spherical rotor is fixed by the use of the special clamp apparatus, and then determines the unbalance mass using the electronic balance. This method has no strict requirement to the clamp’s symmetry and dimension and locating precision of the locating hole. The balance precision only depends on the precision of the electronic balance and shape error of the clamp’s locating surface, which makes the balance method has

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33

Liu, Yang, Shuaishuai Ming, Siyao Zhao, Jiyuan Han, and Yaxin Ma. "Research on Automatic Balance Control of Active Magnetic Bearing-Rigid Rotor System." Shock and Vibration 2019 (April 7, 2019): 1–13. http://dx.doi.org/10.1155/2019/3094215.

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In this paper, in order to solve the problem of unbalance vibration of rigid rotor system supported by the active magnetic bearing (AMB), automatic balancing method is applied to suppress the unbalance vibration of the rotor system. Firstly, considering the dynamic and static imbalance of the rotor, the detailed dynamic equations of the AMB-rigid rotor system are established according to Newton’s second law. Then, in order to rotate the rotor around the inertia axis, the notch filter with phase compensation is used to eliminate the synchronous control current. Finally, the variable-step fourth

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34

Zhang, Shi Hai, Xiong Wen Guo, and Zi Miao Zhang. "Separating the Time Field Signal of Rotor Unbalance Vibration Based on EMD Method." Advanced Materials Research 989-994 (July 2014): 3204–7. http://dx.doi.org/10.4028/www.scientific.net/amr.989-994.3204.

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It is the premise conditions of dynamic balance monitoring and control technology that the unbalance vibration signal is separated accurately. Based on the theory analysis of EMD (Empirical Mode Decomposition), the time field method of unbalance vibration signal separation is proposed. The basic principle is that the reference signal and radial vibration of rotor must be simultaneously measured, and then the IMF(Intrinsic Mode Function) components are separated based on the EMD method. The time field signal of unbalance vibration can be identified by comparing the IMF’s frequency with rotation

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35

Wang, Wenbo, Pengyun Song, Hechun Yu, and Guoqing Zhang. "Research on Vibration Amplitude of Ultra-Precision Aerostatic Motorized Spindle under the Combined Action of Rotor Unbalance and Hydrodynamic Effect." Sensors 23, no. 1 (2023): 496. http://dx.doi.org/10.3390/s23010496.

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In the working process of the gas bearings, the unbalanced force of the rotor will increase nonlinearly with the increase in the rotating speed, resulting in an increase in the rotor’s vibration amplitude. On the other hand, with the increase in the rotating speed, the hydrodynamic effect will increase, and the nonlinear increase in the gas film force and stiffness will inhibit the increase in the vibration amplitude. In order to deeply study the influence of the unbalanced force and nonlinear gas film force on the vibration amplitude of the ultra-precision aerostatic motorized spindle, taking

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Zhao, J. Y., and E. J. Hahn. "Subharmonic, Quasi-Periodic and Chaotic Motions of a Rigid Rotor Supported by an Eccentric Squeeze Film Damper." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 207, no. 6 (1993): 383–92. http://dx.doi.org/10.1243/pime_proc_1993_207_145_02.

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This paper analyses the complexity of the unbalance response possible with a simple rigid rotor supported by an eccentric squeeze film damper. The damper forces are obtained from the ‘π’ film short bearing approximation to the Reynolds equation and a fourth-order Runge-Kutta integration is used to evaluate the rotor response. Poincaré maps, rotor trajectories, bifurcation diagrams and power spectra are used to elucidate and to illustrate the diversity of the system behaviour. It is shown that for a large unbalance and static eccentricity ratio, the system can exhibit undesirable jump phenomeno

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Hu, Bin, Xiaodong Yang, Anping Hou, et al. "Nonlinear Dynamic Responses of Rigid Rotor Supported by Thick Top Foil Bearings." Lubricants 11, no. 10 (2023): 453. http://dx.doi.org/10.3390/lubricants11100453.

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This study focuses on thick top foil bearings (TTFBs), which can prevent top foil from sagging and significantly reduce the load capacity of gas foil bearings (GFBs). However, the limited research on the dynamic responses of TTFB-rotor systems has hindered their wide application of TTFBs with high load capacity. To address this, an integrated nonlinear dynamic model is developed to analyze the linear dynamic responses of a rigid rotor supported on TTFBs. The model incorporates time domain orbit simulation, considering unsteady Reynolds equations, foil deformation equations, thick top foil moti

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Brancati, Renato, Stefano Pagano, Ernesto Rocca, Michele Russo, and Riccardo Russo. "Experimental Investigations on Tilting Pad Journal Bearings." International Journal of Rotating Machinery 5, no. 3 (1999): 181–91. http://dx.doi.org/10.1155/s1023621x99000160.

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The results of a survey conducted on an experimental system consisting of a rigid rotor supported on two radial bearings each with five tilting pads is presented. In particular, the system was set up in order to assess the dynamic behaviour of the bearing in unusual operating conditions. The response of the bearing to different unbalance values was determined after acquiring and analysing the orbits described by the journal axis for assigned unbalance values in different operating conditions. Analysis of the results shows some particular operating features that were not entirely predicted by t

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Yan-zhu, Liu, and Xue Yun. "Drift motion of free-rotor gyroscope with radial mass-unbalance." Applied Mathematics and Mechanics 25, no. 7 (2004): 786–91. http://dx.doi.org/10.1007/bf02437570.

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Han, Jiaqi, Guihuo Luo, Wei Chen, et al. "Coupling Vibration Analysis of Turbine Shared Support Rotor-Bearing System with Squeeze Film Dampers." International Journal of Aerospace Engineering 2022 (February 5, 2022): 1–22. http://dx.doi.org/10.1155/2022/8425735.

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The turbine shared support structure is used widely in aeroengines, but theoretical and experimental research on a rotor-bearing system containing a shared turbine support structure is lacking. This paper reports research into the coupling vibration response of a squeeze-film-damper rotor-bearing system that has two spools with different rotation speeds and is supported by a turbine shared support structure. The problem is addressed by means of experimental tests and the finite-element method. Based on the features of a turboshaft engine with a turbine shared support structure, a rotor-bearing

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Song, Huiying, Shaohui Wang, and Kai Sun. "Rotordynamic Characteristics Analysis for an aero-engine Low Pressure Rotor Rig Test Model." MATEC Web of Conferences 179 (2018): 03012. http://dx.doi.org/10.1051/matecconf/201817903012.

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3D whole engine finite element model of a low pressure rotor rig test model is established in this paper. Rotorynamic characteristics are mainly analysed with three models, which include rotor model with static stiffness, rotor model with dynamic stiffness, and whole engine model. The calculation results were compared and discussed deeply. Rotordynamic characteristics of rotor model with static stiffness are similar with the rotor model with dynamic stiffness, but the latter may have additional resonance peaks caused by dynamic stiffness. Whole engine model, which can capture the modes of casi

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Xue, Beirao, Jixin Man, Yanfeng Zuo, and Wengao Yan. "Vibration Response Analysis of a Time-varying Stiffness Wheel with Contrate Gear under Unbalanced Excitation." Journal of Physics: Conference Series 2694, no. 1 (2024): 012063. http://dx.doi.org/10.1088/1742-6596/2694/1/012063.

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Abstract The vibration and response of multi-contact interface micro-motion time-varying stiffness wheel are analyzed, and the nonlinear vibration response characteristics caused by the unbalance force of multi-contact interface contrate gear face of a gas turbine rotor are studied. Firstly, the local sliding model of dry friction-damped contact is extended to establish a holistic and local unified sliding model. The equivalent stiffness and damping of the damping device are calculated by means of the equivalent linearization method and the first harmonic balance method. Finally, the finite el

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Saito, S. "Calculation of Nonlinear Unbalance Response of Horizontal Jeffcott Rotors Supported by Ball Bearings With Radial Clearances." Journal of Vibration and Acoustics 107, no. 4 (1985): 416–20. http://dx.doi.org/10.1115/1.3269282.

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Nonlinear unbalance response of horizontal Jeffcott Rotors supported by ball bearings with radial clearances are investigated. First, the method to calculate the nonlinear vibration of the rotor as well as the expression of the nonlinear bearing force are given using the numerical harmonic balance technique. It is shown that there are 4 types to the unbalance response, which consist of the horizontal, the vertical, the intermediate, and the circular modes. The former three types of vibrations always take place, but the last appears only when the critical unbalance is exceeded. Moreover, the de

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Rondon, D., J. O. Aidanpää, and R. Gustavsson. "Effect of unbalancing mass placement in hydropower generators with floating rotor rim." IOP Conference Series: Earth and Environmental Science 1079, no. 1 (2022): 012094. http://dx.doi.org/10.1088/1755-1315/1079/1/012094.

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Abstract Dynamic models for hydropower generators treat the rotor part as a rigid body; however, many studies have shown the opposite. The electromagnetic force distribution of deformed rotors is uneven, creating Unbalance Magnetic Pull, causing high forces on generator components leading to a risk of fatigue, therefore shortening the life of machines. Unbalancing masses can worsen the asymmetries of the rotor, which would further increase the effect of the electromagnetic interactions. This paper evaluates the rotor response using different unbalancing masses at the rotor and at the poles to

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Fan, Ye Sen, San Min Wang, and Zhen Yang. "Dynamic Characteristics of the Coupled System of the High Pressure Rotor and the Radial Driveshaft of a Turbofan Engine." Advanced Materials Research 44-46 (June 2008): 127–34. http://dx.doi.org/10.4028/www.scientific.net/amr.44-46.127.

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In a turbofan engine, the high pressure rotor and the radial driveshaft, which transmit the power from the internal gear-box to the external gear-box, are geared by a spiral bevel gear pair. In this paper, a reasonably simplified dynamic model of the coupled rotors system is established, and then, the coupled stiffness matrix and coupled damping matrix of the spiral bevel gear pair are deduced. A shaft element method is proposed to investigate the lateral-torsional coupled vibration equations of the gear-rotor system. Furthermore, the mode shapes and unbalance responses of this two rotors coup

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Wang, W., Sheng Zong Cai, Chao Wu, and P. L. Wong. "Vibration Suppression Evaluation of Smart Journal Bearing Using Giant Magnetostrictive Actuators." Key Engineering Materials 642 (April 2015): 323–27. http://dx.doi.org/10.4028/www.scientific.net/kem.642.323.

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A new kind of smart hydrodynamic journal bearings with giant magnetostrictive actuators (GMA) is introduced. The static and dynamic displacement outputs of the designed GMA are up to tens of microns, about the same order of magnitude as the conventional journal bearing clearance. Vibration suppression of the new smart journal bearing is theoretically evaluated using a simple Jeffcott rotor-bearing system. Kinematic equations are set up including the magneto-mechanical coupling model for GMA. The bearing oil film force under large vibration is calculated using a fast and efficient non-stationar

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Xiaoping, Jiang, Wang Li, Zhou Ling, Li Wei, and Wang Chuan. "Transient response analysis of cantilever multistage centrifugal pump based on multi-source excitation." Journal of Low Frequency Noise, Vibration and Active Control 39, no. 4 (2019): 908–24. http://dx.doi.org/10.1177/1461348419872312.

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A stainless-steel cantilever multistage centrifugal pump was taken to study the transient response characteristic. The axial locus under different working conditions was tested experimentally and compared in detail. The results show that the gyroscopic effect increases the radial displacement located near the end element, and the amplitude of the radial displacement of the pump body increases with the development of unbalance mass. The dynamic sealing force of wear-ring could enhance the stability of the rotor system, and effectively reduce the amplitude of the radial displacement. The axis lo

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Zhang, Yun, Xuesong Mei, Mingping Shao, and Muxun Xu. "An improved holospectrum-based balancing method for rotor systems with anisotropic stiffness." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 227, no. 2 (2012): 246–60. http://dx.doi.org/10.1177/0954406212447521.

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As a ubiquitous phenomenon in rotor systems, anisotropic stiffness generally causes the response of an unbalanced rotor to vary across radial directions. The standard holospectrum-based balancing method, which adopts the initial phase vector as a balancing object, cannot be used in rotor systems with anisotropic stiffness. To tackle the limitations of the standard holospectrum-based balancing method, an improved holospectrum-based balancing method with increased accuracy and a greater scope of application is presented in this article. First, a dynamic model of an unbalanced rotor system with a

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Jastrzębski, Rafał P., Alexander Smirnov, Katja Hynynen, et al. "Commissioning and Control of the AMB Supported 3.5 kW Laboratory Gas Blower Prototype." Solid State Phenomena 198 (March 2013): 451–56. http://dx.doi.org/10.4028/www.scientific.net/ssp.198.451.

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This paper presents the practical results of the design analysis, commissioning, identification, sensor calibration, and tuning of an active magnetic bearing (AMB) control system for a laboratory gas blower. The presented step-by-step procedures, including modeling and disturbance analysis for different design choices, are necessary to reach the full potential of the prototype in research and industrial applications. The key results include estimation of radial and axial disturbance forces caused by the permanent magnet (PM) rotor and a discussion on differences between the unbalance forces re

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Friswell, Michael I., and Yong Yong He. "Smart Rotating Machines for Condition Monitoring." Key Engineering Materials 413-414 (June 2009): 423–30. http://dx.doi.org/10.4028/www.scientific.net/kem.413-414.423.

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The concept that changes in the dynamic behaviour of a rotor could be used for general fault detection and monitoring is well established. Current methods rely on the response of the machine to unbalance excitation during run-up, run-down or normal operation, and are mainly based on pattern recognition approaches. Of all machine faults, probably cracks in the rotor pose the greatest danger and research in crack detection has been ongoing for the past 30 years. For large unbalance forces the crack will remain permanently open and the rotor is then asymmetric, which can lead to stability problem

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