Journal articles: 'Unbalanced shaft'

1

Masrol, S. R., M. A. Madlan, Salihatun Md Salleh, Maznan Ismon, and Mohd Nazrul Roslan. "Vibration Analysis of Unbalanced and Misaligned Rotor System Using Laser Vibrometer." Applied Mechanics and Materials 315 (April 2013): 681–85. http://dx.doi.org/10.4028/www.scientific.net/amm.315.681.

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Rotor unbalance and shaft misalignment are common major concerns in rotating system. In this study, vibration analysis for unbalanced rotor and misaligned shaft components using non-contact laser Doppler vibrometer (LDV) were examined. The vibration acceleration magnitude (m/s2) and FFT spectrum from the both fault detections were recorded by the portable laser Doppler vibrometer and analysed by the vibration analysis software. The result shows that combination of unbalance and parallel misalignment fault conditions can produce higher vibration thus reduce the life span of the rotor system. In this case, the unbalance fault condition combined with parallel misaligned rotor gave highest vibration magnitude followed by simply unbalanced rotor and parallel misalignment fault only. This experiment shows that the non-contact method has successfully detected the unbalance and parallel misalignment fault in the rotor system.

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2

Zhyhylii, Serhii, Maksym Kharchenko, and Julia Katella. "Mathematical Model of the Dynamic Action of the Controlled Vibration Exciter on the Processed Medium of Mixer with Toroidal Working Container." International Journal of Engineering & Technology 7, no. 3.2 (June 20, 2018): 478. http://dx.doi.org/10.14419/ijet.v7i3.2.14576.

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Vibration mixers are technological machines that are meant for mixing of different processed medium. A driving force in such machines is realizing by oscillation exciter. In this article, the constructive scheme of the vibration mixer is introduced. Such a mixer has the toroidal working container and is equipped with controlled mechanical centrifugal unbalanced exciters of oscillations with a vertically located unbalanced shaft. The work principle of one of the possible configurations in this exciter is considered and provided. One inflexible and two mobile unbalances are strengthen on its unbalanced shaft. The mobile unbalances by means of independent external action, that is caused by mechanism for managing of mobile unbalances, have an opportunity to change synchronously its positions on the unbalanced shaft directly in time of mixer’s work. The centrifugal inertia forces of inflexible and mobile unbalances make the dynamic wrench that consists of the main vector and the main moment and rotates with unbalanced shaft. It is determined that the value of the main vector and the main moment evaluate the dynamic action of this vibration exciter to the mixer’s working container. The mathematical model of the dynamic action of oscillator exciter on the processed medium of mixer with the toroidal working container is received. Depending on the value of turn angle of mobile unbalances from its starting positions exciter: a) staying in the dynamic balance state; b) is generating the translation force field; c) generates the wrench force field of this or that direction. These opportunities of controlled vibration exciter firmly provide anfractuous circulative motion of the processed medium on the volume of the mixer’s working container. Using of controlled exciter also leaves out the transfers through intermediate resonance frequencies. As its starting and stopping happen in a dynamic balance state, so it leaves out the possibility of manifestation of the “Sommerfeld’s effect” that is harmful for the driven motor, improves the constructive availability of the vibration mixer and increases its efficiency and life duration.

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Huang, Kang, Ge Chen, Qi Chen, and Zu Fang Zhang. "Dynamic Balance Analysis of Automobile Drive Shaft Based on Solidworks." Applied Mechanics and Materials 215-216 (November 2012): 986–91. http://dx.doi.org/10.4028/www.scientific.net/amm.215-216.986.

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In this paper, drive shaft’s dynamic unbalance was calculated based on dynamic theory. The results were presented drive shaft’s dynamic balancing can be assessed by detecting the value of the unbalanced force at both ends of drive shaft. Here solidworks software was used to make an error modelling on the drive shaft. Simulation module is also applied to analyze the model. The results show the tube straightness, yoke thickness difference of flange yoke and symmetrical error of cardan shaft influence dynamic balance of drive shaft. The above findings have a guiding role in the practical production.

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4

Hashimoto, H., and S. Wada. "Dynamic Behavior of Unbalanced Rigid Shaft Supported on Turbulent Journal Bearings—Theory and Experiment." Journal of Tribology 112, no. 2 (April 1, 1990): 404–8. http://dx.doi.org/10.1115/1.2920271.

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In this paper, the combined effects of turbulence and fluid film inertia on the dynamic behavior of an unbalanced rigid shaft supported horizontally on two identical aligned short journal bearings are investigated theoretically and experimentally. Utilizing analytical expressions for the dynamic fluid film force components considering the effects of turbulence and fluid film inertia, the nonlinear equations of motion for the rotor-bearing systems are solved by the improved Euler’s forward integration method. The journal center trajectories with unbalance eccentricity ratio of εμ = 0, 0.1 and 0.2 are examined theoretically for Reynolds number of Re = 2750, 4580, and 5500, and the theoretical results are compared with experimental results. From the theoretical and experimental results, it was found that the fluid film inertia improves the stability of unbalanced rigid shaft under certain operating conditions.

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5

Al-Falahat, Ala’a M. "Implementation of the dynamic balancing approach of a rotating composite hollow shaft." EUREKA: Physics and Engineering, no. 2 (March 31, 2022): 68–73. http://dx.doi.org/10.21303/2461-4262.2022.002336.

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Balancing is essential in rotating machinery, which is widely employed in many technical sectors, particularly in high-speed rotor-bearing systems. The mass balancing method of the hollow shaft manufactured of composite materials is investigated in this study over the whole speed range of the rotor. The main goal of the balancing technique is to generate a smooth-running machine by removing the commonality imbalance mass through the use of compensating mass unbalance. As a result, MATLAB code is created to produce a functioning mathematical model of the rotor-bearing system. The unbalanced rotor-bearing system finite element model is proposed to set the balancing mass of the composite hollow shaft at a selected speed rotor that allows minimizing the vibration response amplitude of the rotor as much as possible with minimal impact on the rest of the imbalance response within the speed range of the interest. As a consequence, this study validates the process for distributing imbalance in modelling balancing to balance the flexible hollow shaft with an unbalanced mass throughout the complete speed range of the shaft. The balance of the hollow shaft at the critical speed was observed in this approach, and the vibration amplitude was determined by adding extra mass at a specific angle

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6

Banakh, Ludmila, and Andrey Nikiforov. "BACKWARD WHIRL OF UNBALANCED SHAFT AT ELASTICALLY CONSTRAINED JOURNAL BEARINGS AND FLOATING SEALS DUE TO MECHANICAL CONTACT." Environment. Technology. Resources. Proceedings of the International Scientific and Practical Conference 2 (August 3, 2015): 234. http://dx.doi.org/10.17770/etr2009vol2.1012.

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The paper deals with the known phenomenon which takes place at rotor-stator contact. It is backward precession (whirl) of unbalanced shaft inside rigidly constrained sleeves (journal bearings) in the range below its critical speed. The purpose of this theoretical work is to research dynamic behavior of unbalanced shaft at the elastically constrained sleeves and above-resonant range.

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7

Liu, Zhanhui, Jianbin Luo, Jing Yu Liu, Yibing Lu, and Yu Jie Guo. "Low Pressure Shaft’s Bear Vibration Treatment for a Supercritical Turbine." Advanced Materials Research 614-615 (December 2012): 446–51. http://dx.doi.org/10.4028/www.scientific.net/amr.614-615.446.

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The supercritical turbine, changed low pressure rotor’s blade in site, bear vibration over-proof seriously because of unbalance, reached rated speed after dynamic balance in site. The vibration of low pressure Ⅱshaft’s bear was still over-proof. And the bear vibration phase was anti-phase with the shaft vibration not only anti-phase but also in-phase. It was found that the bear vibration was highly related with the anti-phase component of shaft vibration after running date analysis. And the bear vibration was reduced obviously after the anti-phase component of shaft’s residual unbalanced mass reduced by dynamic balance in site.

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8

Huang, Ziyuan, Jiancheng Fang, and Kun Wang. "Dynamics of flexible rotor-shaft assembly with consideration of contact behaviors." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 229, no. 5 (June 12, 2014): 859–68. http://dx.doi.org/10.1177/0954406214539470.

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An approach is presented for large error problems of modal analysis of shaft assembly by considering contact behaviors of shaft components. The interference of shaft assembly is firstly calculated analytically through contact theory. The modal analysis of the finite element (FE) model of rotor-shaft assembly is executed by optimizing the normal contact stiffness factor (FKN). The accuracy of simulation results is verified in good agreement with experimental modal testing. The percentage errors of the first two bending natural frequencies are 1.3% and 2.8%, respectively. It is demonstrated that accurate mode of rotor-shaft assembly can be achieved. Then critical speeds of forward and backward are obtained by Campbell diagram. In particular, the amplitude-frequency response of rotor different element node under unbalanced vibration force is obtained by unbalance response analysis. It is important to improve the assembly’s structural integrity in order to minimize operational failure.

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9

Yang, S. M., and G. J. Sheu. "Vibration Control of a Rotating Shaft: An Analytical Solution." Journal of Applied Mechanics 66, no. 1 (March 1, 1999): 254–59. http://dx.doi.org/10.1115/1.2789155.

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It has been shown that a rotating shaft in the Rayleigh beam model has only a finite number of whirl speeds and vibration modes when the rotating speed is higher than half of the whirl speed. The system’s unbalanced response can therefore be written analytically by the vibration modes and the generalized coordinates. This paper presents an analytical controller design of optimal sensor/actuator location and feedback gain for minimizing the steady-state unbalanced response. Because all of the critical speeds and vibration modes are included in the controller design, there will be no residual mode, hence no spillover. An example is used to illustrate that the controller design in collocated or noncollocated configuration not only guarantees the closed-loop stability but also effectively suppresses the unbalanced response.

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10

Izanlo, Ali, Asghar Gholamian, and Mohammad Verij kazemi. "DIRECT POWER CONTROL OF A DFIG BASED WIND TURBINS UNDER UNBALANCED GRID VOLTAGE WITHOUT ROTOR POSITION SENSOR." IIUM Engineering Journal 18, no. 1 (May 30, 2017): 57–71. http://dx.doi.org/10.31436/iiumej.v18i1.676.

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In this paper, the behavior of a doubly fed induction generator (DFIG) is proposed under unbalanced grid voltage and without using a rotor position sensor. There are two main methods that are been used for the detection of rotor position: using shaft sensor and sensorless algorithm. In this paper the shaft sensor is eliminated and a position sensorless algorithm is used for estimating the rotor position. Sensorless operation is more desirable than using shaft sensor, because the shaft sensor has several disadvantages related to the cost, cabling, robustness and maintenance. Also, during network unbalance, three selectable control targets are identified for the rotor side converter (RSC), i.e., obtaining sinusoidal and symmetrical stator currents, mitigation of active and reactive powers ripples and the cancellation of electromagnetic torque oscillations. The effectiveness of the proposed control strategy is confirmed by the simulation results from a 2-MW DFIG system. It is concluded that the sensorless algorithm is able to produce accurate results similar to the case of that used from shaft sensor and it can be used in the practical applications.

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11

Zhang, Ben, Yu Li, Zhong Tang, Hao Zhang, Yaquan Liang, and Zhan Su. "Vortex Trajectory of Rotating Shaft Undergoing Vibration Coupling of Parallel Multicylinders." Advances in Materials Science and Engineering 2022 (January 22, 2022): 1–17. http://dx.doi.org/10.1155/2022/8184214.

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Multiple threshing cylinders of combine harvester are mainly driven in parallel, whose transmission methods are complex causing the excitations coupled with each other. The mutual excitation coupling of multiple threshing cylinders causes a severe vibration state of the combine harvester with poor stability. In order to analyze the influence of transmission system coupling on the unbalanced response of the parallel multicylinder system, this paper established a mathematical model of the parallel multicylinder system and derived the general vortex trajectory expression of the unbalanced response of threshing cylinder shaft undergoing vibration coupling of parallel multicylinders. Vibration tests of the bearing seat and the rotating shaft were carried out for comparison and verification. Results showed that the existence of the transmission chain and the transmission mode cause the boundary conditions of the multicylinder system to change, which ultimately led to changes in the unbalanced response of the transmission system. The contribution rate of different transmission methods and rotation speeds to the vibration amount at the fundamental frequency of the multicylinder was 5% to 30%. The existence of the transmission system caused the vibrations of the various units to be coupled with each other, mutually transmitted, and superimposed, leading to changes in the vortex shape of the rotating shaft and the unbalanced response of the transmission system.

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12

Tchomeni, Bernard Xavier, and Alfayo Alugongo. "Modelling and Dynamic Analysis of an Unbalanced and Cracked Cardan Shaft for Vehicle Propeller Shaft Systems." Applied Sciences 11, no. 17 (September 2, 2021): 8132. http://dx.doi.org/10.3390/app11178132.

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The vibrational behaviour of misaligned rotating machinery is described and analysed in this paper. The model, constructed based on the equations of vehicle dynamics, considered the dynamic excitation of a single Hooke’s joint. The system adopted the breathing functions from a recent publication to approximate the actual breathing mechanism of a cracked driveshaft. The study aimed to understand the transmission of a nonlinear signal from the unbalanced and cracked driveshaft to an unbalanced driven shaft via a Hooke’s joint. The governing equation of the system was established based on the energy principle and the Lagrangian approach. The instantaneous frequency (IF) identification of the cracked driveshaft was extracted based on the synchrosqueezing wavelet technique. To correlate the results, the nonlinear synchrosqueezing wavelet transforms combined with the classical waves techniques were experimentally used in various scenarios for dynamic analysis of the Cardan shaft system. The variations in the dynamic response in the form of a rising trend of higher harmonics of rotational frequency and increased level of sub-harmonic peaks in both shafts were presented as significant crack indicators. The synchrosqueezing response showed breathing crack excitation played a crucial role in the mixed faults response and caused divergence of the vibration amplitudes in the rotor’s deflections. The simulation and test results demonstrated that the driveshaft damage features impacted the transfer motion to the driven shaft and the Hooke’s joint coupling was the principal source of instability in the system. The proposed model offers new perspectives on vibration monitoring and enhancement analysis to cover complex Cardan shaft systems.

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13

Reda, Kamel, and Yong Yan. "Vibration Measurement of an Unbalanced Metallic Shaft Using Electrostatic Sensors." IEEE Transactions on Instrumentation and Measurement 68, no. 5 (May 2019): 1467–76. http://dx.doi.org/10.1109/tim.2018.2882900.

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14

Wang, Meiling, Qingkai Han, Baogang Wen, Hao Zhang, and Tianmin Guan. "Modal characteristics and unbalance responses of fan rotor system with flexible support structures in aero-engine." Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering 231, no. 9 (July 12, 2016): 1686–705. http://dx.doi.org/10.1177/0954410016658076.

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This paper investigates the vibration patterns, i.e. rigid motions of shaft and elastic deformation of support structures, of fan rotor system in aero-engine, which differs from traditional flexible rotor systems, and together with its shaft transverse motions due to unbalanced mass. The fan rotor system commonly is composed of one rigid shaft and two flexible support structures (such as squirrel cages), which is effective to decrease the critical speeds avoiding serious shaft vibration due to unbalance. Scaled test rig for realistic fan rotor system is set up according to similarity principles, governing differential equations of which are deduced by means of Lagrangian approach with four degrees of freedom. In contrast to modeling a traditional flexible rotor system, the system stiffness is not determined by the shaft but the two flexible support structures. The rigid shaft only contributes to the inertial items of the governing equations. Parameter values of dynamic model are identified from measurements on the scaled test rig, the modal shapes and the modal energy distributions are calculated. These modal characteristics of the fan rotor system are quite different from those of a traditional flexible rotor system whose stiffness mainly contributed by its elastic shaft even the system values are consistent. The obtained modal characteristics are compared and confirmed by using the simulation results of a corresponding finite element model, in which shaft is built by rotating beam elements and its flexible structures are built by equivalent spring elements. Campbell diagrams of the fan rotor system are used to illustrate the gyroscopic effect with the increasing speeds. And then the unbalance responses are calculated through the deduced analytical formula rapidly and comparisons, including the response spectrum and orbits, the amplitude and phase frequency response curves, and operating deflection shapes, are carried out in the sub- and super-critical range.

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15

Déa, Thales Henrique Gomes, Rodrigo Francisco Borges Lourenco, Rafael de Oliveira Silva, Michael Dowglas de Gois Silva, Fábio Roberto Chavarette, and Roberto Outa. "ANÁLISE DINÂMICA EXPERIMENTAL DE ROTORES DESBALANCEADOS." COLLOQUIUM EXACTARUM 13, no. 3 (December 20, 2021): 13–18. http://dx.doi.org/10.5747/ce.2021.v13.n3.e365.

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Rotating machines in motion usually produce dynamic forces that diffuse to the ends that support them, such efforts can lead to disadvantageous reactions to the operation of the machine, as well as unbalance or misalignment that can damage the shaft-rotor assembly or the elements directly linked to it. The objective of this project is to develop a mechanical and experimental system that enables the testing and data acquisition of a rotating machine and build a computational algorithm to generate amplitude and velocity diagrams as a function of time and compare the dynamic behavior of a vibrational bench, in normal and unbalanced condition.

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16

Cohen, R., and I. Porat. "Coupled Torsional and Transverse Vibration of Unbalanced Rotor." Journal of Applied Mechanics 52, no. 3 (September 1, 1985): 701–5. http://dx.doi.org/10.1115/1.3169125.

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A model of an unbalanced rotor, driven by a torsion-flexible shaft through a constant velocity joint, is used to investigate the combination-resonance effect in coupled torsional-transverse vibration. Analysis of the nonlinear equations of motion by an asymptotic method yields the instability zones of the system. Results are in very good agreement with those obtained by direct numerical solution of the equations of motion.

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17

Shaw, J., and S. W. Shaw. "Non-linear resonance of an unbalanced rotating shaft with internal damping." Journal of Sound and Vibration 147, no. 3 (June 1991): 435–51. http://dx.doi.org/10.1016/0022-460x(91)90492-3.

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18

Amirzadegan, Sadegh, Mohammad Rokn-Abadi, R. D. Firouz-Abadi, and Fahimeh Mehralian. "Nonlinear responses of unbalanced flexible rotating shaft passing through critical speeds." Meccanica 57, no. 1 (October 31, 2021): 193–212. http://dx.doi.org/10.1007/s11012-021-01447-8.

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19

Petela, G., and K. K. Botros. "Magnetic Bearing Control of Flexible Shaft Vibrations Based on Multi-access Velocity-Displacement Feedback." Journal of Engineering for Gas Turbines and Power 117, no. 1 (January 1, 1995): 188–97. http://dx.doi.org/10.1115/1.2812771.

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A model of the forced vibrations of a flexible, asymmetric, and unbalanced shaft, supported by two magnetic bearings, is derived to simulate the effect of different schemes of active control on shaft dynamic behavior. Simulation results were compared for several cases of single and multi-access bearing controls, rigid-body mode only and rigid with flexible mode control, and linear and nonlinear bearing responses. It is shown that the multi-access bearing response, calculated from the known equation of the stable ROCL (Reduced Order Closed Loop) and based on the direct velocity-displacement feedback, provided the most precise shift in critical frequencies and also reasonable suppression of shaft vibration amplitudes. The nonlinear bearing design was also briefly discussed. The stability analysis showed that stability limits were influenced by more parameters in this case, but no particular advantages were observed in suppression of the vibration amplitudes as compared to the linear case.

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20

Shu, Xue Dao, Bao Shou Sun, and Min Xiao. "Influence Regularities of Axial Force of Cross Wedge Rolling Symmetric Shaft-Parts about Technical Parameters." Advanced Materials Research 314-316 (August 2011): 589–93. http://dx.doi.org/10.4028/www.scientific.net/amr.314-316.589.

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Because of unbalanced axial force of cross wedge rolling asymmetric shaft-parts causing the rolling play and not stably, it is key factors to restrict application in asymmetric shaft-parts of cross wedge rolling. Axial force balance depends on technical parameters. So the influence regularities of axial force to technical parameters is researched in this paper by Ansys-Ls/Dyna finite element software. Finite element model is authenticated by experiment of rolling force, and the influence regularities of axial force of cross wedge rolling asymmetric shaft-parts is get. It will provide a theoretical basis for choosing reasonable parameters in mold design of cross wedge rolling asymmetric shaft-parts.

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21

Karlsson, Martin, Jan-Olov Aidanpää, Richard Perers, and Mats Leijon. "Rotor Dynamic Analysis of an Eccentric Hydropower Generator With Damper Winding for Reactive Load." Journal of Applied Mechanics 74, no. 6 (February 8, 2007): 1178–86. http://dx.doi.org/10.1115/1.2723822.

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Asymmetry in the magnetic circuit, around the air gap circumference, in a hydroelectric generator will give rise to a unbalanced magnetic pull. In this paper, a hydropower rotor system is modeled and the influence of electro-mechanical forces due to overexcitation is analyzed. The active power has been kept constant and the rotor excitation has been changed in order to vary the output of reactive power. The electromagnetic field is solved with the finite element method. Two electromagnetic models are compared: one with and one without damper winding. The mechanical model of the generator consists of a four degrees of freedom rigid disk connected to an elastic shaft supported by two bearings with linear properties. It has been found that the unbalanced magnetic pull slightly increases for reactive loads resulting in a decrease of natural frequencies and an increase of unbalance response. When the damper winding is included, the magnetic pull will decrease compared to the model without damper winding, and the pull force has two components: one radial and one tangential. The tangential component can influence the stability of the mechanical system for a range of design parameters.

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22

Sousa, V., P. R. Viego, J. R. Gomez, E. C. Quispe, and M. Balbis. "Shaft Power Estimation in Induction Motor Operating Under Unbalanced and Harmonics Voltages." IEEE Latin America Transactions 14, no. 5 (May 2016): 2309–15. http://dx.doi.org/10.1109/tla.2016.7530427.

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23

Zhang, Guoqing, Jianming Zheng, Hechun Yu, Renfeng Zhao, Weichao Shi, and Jin Wang. "Rotation Accuracy Analysis of Aerostatic Spindle Considering Shaft’s Roundness and Cylindricity." Applied Sciences 11, no. 17 (August 27, 2021): 7912. http://dx.doi.org/10.3390/app11177912.

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The rotation accuracy of the aerostatic spindle can easily be affected by shaft shape errors due to the small gas film clearance. Thus, the main shaft shape errors with the largest scale—that is, the roundness and cylindricity errors—are studied in this paper, and a dynamic mathematical model is established with the consideration of the roundness, cylindricity errors, and spindle speed. In order to construct the shaft model, the discrete coefficient index of the shaft radius based on roundness measurement data are proposed. Then, the simulation calculations are conducted based on the measured cylindricity data and the constructed shaft model. The calculation results are compared with the spindle rotation accuracy measured using the spindle error analyzer. The results show that the shaft with a low discrete coefficient is subjected to less unbalanced force and smaller rotation errors, as obtained by the experiment.

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Tang, Zhong, Haotian Zhang, and Yuepeng Zhou. "Unbalanced Vibration Identification of Tangential Threshing Cylinder Induced by Rice Threshing Process." Shock and Vibration 2018 (May 27, 2018): 1–14. http://dx.doi.org/10.1155/2018/4708730.

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Unbalanced vibration of tangential threshing cylinder increased the grain loss, shortened service life of the cylinder, and resulted in structural resonance during the rice threshing process. In this paper, the vibration amplitude and frequency of tangential threshing cylinder shaft were tested, and the vibration state of tangential threshing cylinder was identified. The restricted and working modalities of tangential threshing cylinder were solved by ANSYS software. Then, by comparing the resonance phenomenon between the inherent constraint frequency and the rotation speed frequency, the shaft vibration under the idle condition of tangential threshing cylinder was tested and analyzed. According to the axial vibration and axial trajectory of the cylinder, the inherent properties and characteristics of unbalanced vibration were revealed. Test results showed that when the tangential threshing cylinder was at idling and no-load state, the amplitude of vibration in the feed direction of straw flow was -0.049~0.060 mm, and the average vibration amplitude was 0.013 mm. As rice flowed along the tangential threshing cylinder, the vibration amplitude slightly increased. The trend and phase of each trajectory were similar, although the amplitude of each trajectory was different. The tangential threshing cylinder axis trajectory was flat oval. Unbalanced vibration was induced by the rice stalks in the concave gap.

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Strzelecki, Stanislaw, and Z. Towarek. "Effect of Shaft Unbalance on the Operation of Worm Gear Rolling Bearings." Key Engineering Materials 293-294 (September 2005): 441–50. http://dx.doi.org/10.4028/www.scientific.net/kem.293-294.441.

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The vibration generated by the deformed and unbalanced shaft has caused the damage and the failure of the rolling bearings of worm gears that are coupled by universal joints shaft. These worm gears operate in heavy duty machine. Based on the analysis of the dynamic loads applied to the rolling bearings of worm gear and the measurements of velocities of displacements the reasons of worm gears vibration were determined. The recommendations for avoiding the damage of worm gears are given too.

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Wu, Quanhui, Yazhou Sun, Wanqun Chen, Qing Wang, and Guoda Chen. "Theoretical prediction and experimental verification of the unbalanced magnetic force in air bearing motor spindles." Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture 233, no. 12 (March 26, 2019): 2330–44. http://dx.doi.org/10.1177/0954405419838656.

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Dynamic vibrations of air bearing motor spindles have significant influence on the surface quality in ultra-precision machining. In this article, the influence of the vibration caused by the unbalanced magnetic force on the diamond turning is investigated on the basis of the theoretical and experimental method. A permanent magnet motor model (10 poles and 12 slots) is built and then simulated to gain a periodic unbalanced magnetic force. The effects of unbalanced magnetic force on the inclination of the spindle shaft is analyzed, which would affect the surface quality of the workpiece, and the surface topography of the workpiece is predicted during an unbalanced magnetic force acting on air bearing motor spindle. The theoretical analysis and experimental turning results validate that the angle between the direction of unbalanced magnetic force and the feed direction has a certain relationship with the profile of the machined surface. Also, under different turning speeds and directions, the surface topography of the machined workpiece shows a 10-cycle-per-revolution pattern, which has good agreement with the simulations of periodic unbalanced magnetic force. This research work provides a theoretical foundation for the fault diagnosis of air bearing motor spindle caused by motor rotor eccentricity and its effect on surface generation in turning.

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Zhang, Guoqing, Jianming Zheng, Hechun Yu, Ting Chen, Kai Zhang, and Guozhu Dou. "Evaluation of the Influence of Shaft Shape Errors on the Rotation Accuracy of Aerostatic Spindle—Part 1: Modeling." Electronics 11, no. 9 (April 20, 2022): 1304. http://dx.doi.org/10.3390/electronics11091304.

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In the research on the aerostatic spindle, for quantifying the influence of shaft shape errors on its rotation accuracy, the calculation models of unbalanced air film force (UAFF) and centrifugal inertia force (CIF) are established. Based on the typical shape of the shaft, three composite cylinder models are constructed. The data sources are selected from the cylindricity measurement results of the shaft and substituted into the model for calculation. The results show that, for the shaft in this paper, when the roundness deviation is ≤1.25 μm and the cylindricity deviation is ≤2 μm, the influence of shape errors on the rotation accuracy of the shaft is small enough. The harmonic analysis of the data source shows that the magnitude and stability of the UAFF on the shaft are determined by the actual shape of the shaft’s cylindrical surface, and cannot be inferred only by the value of shape errors.

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28

Tang, Zhong, Haotian Zhang, Yuepeng Zhou, and Yu Li. "Mutual Interference and Coupling Response of Multicylinder Vibration among Combine Harvester Co-Frame." Shock and Vibration 2019 (June 16, 2019): 1–14. http://dx.doi.org/10.1155/2019/1584391.

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Unbalanced vibrations of axial threshing cylinders on a combine harvester were coupled to each other through a frame. The intensified unbalanced vibration will shorten the working life of the axial threshing cylinder. In this paper, the theoretical modes of the axial threshing cylinder were carried out by using finite element analysis software ANSYS. The axis trajectory and speed fluctuation of the axial threshing cylinder under no-load state and threshing state were tested and analyzed. According to the amplitude and axis trajectory of the transmission shaft, as well as the variation law of the axial threshing cylinder speed, the influence of rice straw on the vibration under the threshing state was revealed. The rotation speeds of cylinder I and cylinder III were adjusted, and the amplitude of cylinder II transmission shaft was analyzed when cylinder II was under stable condition. Then the disturbance and coupling relationships among the unbalanced vibration of axial threshing cylinders were compared. Test results showed that the rotational frequency of the axial threshing cylinder was not in its resonance interval at rated speed. When the axial threshing cylinder was threshing, the horizontal amplitude increased by 0.366 mm. The vertical amplitude increased by 0.697 mm. The speed decreased from 763 rpm to about 750 rpm. The rotational frequency of the axial threshing cylinder would not cause the resonance. With the feeding of rice, the amplitude of the axial threshing cylinder increased slightly and the operating speed was lower than the rated speed. The unbalanced vibration of the axial threshing cylinder transmitted along the frame and coupled with each other, causing the vibration of the axial threshing cylinder to be intensified.

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29

Bai, Ping. "Design and Experimental Research on the Sealing Structure of High-Pressure Gear Pump." Advanced Materials Research 468-471 (February 2012): 807–10. http://dx.doi.org/10.4028/www.scientific.net/amr.468-471.807.

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Due to great pressure difference between inlet and outlet, high-pressure gear pump can cause unbalanced radial force, which results in serious wearing between axle journal of drive shaft and bearing-hole, non-ideal dynamic characteristics, and drop of volumetric efficiency after long run. This paper introduces a new sealing structure. Based on this structure, a high-pressure oil reservoir is installed on the wall of the inner-hole of floating plate for radial support and lubricating, which can effectively reduce shaft wearing and noise, and improve working dynamic characteristics of high-pressure gear pump.

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Hong, Dongwoo, Hyeongill Lee, Youkyung Han, and Byeongil Kim. "Numerical feasibility study for transverse vibration control of rotating shaft with a neural network-based tracking algorithm." INTER-NOISE and NOISE-CON Congress and Conference Proceedings 263, no. 5 (August 1, 2021): 1293–98. http://dx.doi.org/10.3397/in-2021-1803.

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Rotary elements have been applied to a variety of mechanical systems such as pumped-storage hydroelectricity and nuclear power plant. Due to their vibration problems occurred by misalignment, bent, and unbalance, a sharp decline efficiency of system and malfunction can be caused and furthermore, the rotor may be damaged. In order to control the rotor vibration actively, active vibration control using the magnetic bearing and piezo actuator is being vigorously studied to improve operating conditions of rotary devices. This research accomplished numerical simulations of active vibration control for an unbalanced rotor system using the active bearing system applying piezo actuators. Overall rotor system is modeled using energy method and an active bearing model with two actuators placed in both x- and y-direction is developed using lumped parameter method. For implementing active control scheme through the active bearing system, a signal tracking algorithm based on neural network is developed and utilized to the rotor system. The active bearing system shows good performance on transverse vibration reduction for rotating systems.

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Upadhyay, S. H., S. P. Harsha, and S. C. Jain. "Vibration signature analysis of high speed unbalanced rotating shaft supported on ball bearings." International Journal of Design Engineering 2, no. 2 (2009): 191. http://dx.doi.org/10.1504/ijde.2009.028651.

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32

Wang, Shu-han, Wei Guo, Xiang-yang Xu, Yan-fang Liu, and Wen-yong Li. "Modeling unbalanced rotor system with continuous viscoelastic shaft by frequency-dependent shape function." Journal of Central South University 20, no. 12 (December 2013): 3421–30. http://dx.doi.org/10.1007/s11771-013-1866-3.

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Pashkov, E. N., Nikita Martyushev, and Pavel G. Yurovsky. "Stationary Rotation of the Partially Liquid-Filled Unbalanced Rotor under External Friction Force Action." Advanced Materials Research 1040 (September 2014): 903–6. http://dx.doi.org/10.4028/www.scientific.net/amr.1040.903.

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Rotor rotation with liquid layer on the chamber wall under viscoelastic action of the shaft within a planar model is examined in the article. The solution to the problem of determining the deflection of a rotating shaft with liquid filled chamber is given, which is important when designing an automatic balancing device. The issue of the cooperative motion of a solid body and liquid is considered in mathematical research. The set task is performed by applying D'Alembert's principle. The modeling results indicate that an increase in liquid’s mass in a rotor decreases its critical rotation speed; at the same time, the external friction accelerates the system’s self-centering. The developed mathematical models enable us to select the design parameters of a liquid-type autobalancer which operates within the set range of rotor’s angular velocity.

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Coutier-Delgosha, O., A. Dazin, G. Caignaert, and G. Bois. "Analysis of Cavitation Instabilities in a Four-Blade Inducer." International Journal of Rotating Machinery 2012 (2012): 1–11. http://dx.doi.org/10.1155/2012/213907.

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The cavitating behavior of a four-blade inducer tested in the LML laboratory large test facility is considered in the present paper. Experimental investigations based on unsteady pressure measurements and records from a six-component balance mounted on the inducer shaft are performed. Spectral analysis of the signals enables to detect several characteristic frequencies related to unbalanced two-phase flow patterns. The objective of the present paper is the understanding of the physical phenomena associated to these frequencies. Therefore, wavelet decomposition, flow visualizations, and direct analysis of the high-frequency force, moment, and pressure signals are applied. Results at nominal flow rate only are considered. Not only classical unbalanced cavitation patterns, but also unexpected flow organizations are discussed.

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Kłosiński, Jacek, Ludwik Majewski, and Arkadiusz Trąbka. "Control of Two-Dimensional Vibrating System." Solid State Phenomena 164 (June 2010): 333–38. http://dx.doi.org/10.4028/www.scientific.net/ssp.164.333.

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A strategy for control of a system of two electrical vibrators mounted onto the vibrating plate of a typical small table vibrator was discussed in the present paper. The aim of the considered control system is rapid positioning of counterbalances for ensuring achievement of the assumed directions of vibrations and loading forces (where , m is unbalanced mass, ω is angular velocity of the vibrator shaft, e is distance between the unbalanced mass and the vibrator rotary axis). The strategy of the control consists in setting of different directions of vibrator rotations together with controlled change of vibration frequency and amplitude. Numerical analysis was performed. The obtained results are presented in a graphical form.

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Huang, Chang Xi, Shu Ying Yang, and Liu Wei Chen. "Unbalanced Control Strategy for DFIG Used in Wind Turbines." Advanced Materials Research 805-806 (September 2013): 430–35. http://dx.doi.org/10.4028/www.scientific.net/amr.805-806.430.

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Unbalanced input voltages would make doubly fed induction generator (DFIG)-based wind turbine operating performance deteriorate, such as shaft tremble, temperature increasing, and so on, even make it cut out of the power grid. Meanwhile, without proper control the power ripples generated from wind turbines may further aggravate power grid. Considering the unbalanced conditions, DFIG was modeled in dual synchronous reference frame (SRF), namely the positive one and the negative one, based on which the dual PI current controllers were designed. To implement the dual current control, the sensing variables were divided into positive and negative sequence components, which were controlled in positive and negative SRF respectively. At the same time, to synchronize with the positive and negative sequence voltage components, a phase latch loop (PLL) control was designed. Experimental results on 11kW DFIG wind turbine test bed validated the designed control system.

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Baher, Karrar, Qasim A. Atiyah, and Imad A. Abdulsahib. "Vibration Characteristics of the Bearing Rotor Shaft." Al-Nahrain Journal for Engineering Sciences 25, no. 1 (April 3, 2022): 49–54. http://dx.doi.org/10.29194/njes.25010049.

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In this work, the vibrations in the rotor-bearing system are studied experimentally and theoretically using ANSYS Workbench 2020 R1 software to compute the natural frequencies and mode shapes. In the experimental part, the LABVIEW software was used to examine the signal of the frequency domain values obtained from the accelerometer sensors, based on Fast Fourier Transform (FFT) technology and dynamic response spectrum. in the theoretical part, the natural frequencies are determined based on the finite element method for analyzing the system and knowing its behavior and vibration response level. The results showed that the level of vibration becomes higher at high rotational speeds, and it becomes large when the distances between the bearings are large, according to the bearing position and type used in the system. in this work can be concluded, the system is usually affected by the dynamic response around it and is difficult to separate from it, and the vibrations in the system can be controlled by adding an external damping source, which gives the system more stable. A system operating at high speeds can give a large vibration and an unbalanced response.

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Belmans, R., A. Vandenput, and W. Geysen. "Influence of unbalanced magnetic pull on the radial stability of flexible-shaft induction machines." IEE Proceedings B Electric Power Applications 134, no. 2 (1987): 101. http://dx.doi.org/10.1049/ip-b.1987.0013.

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39

KAKUTA, Kazuo, Tadashi KOHNO, Hiroyuki OHTA, and Hiroshi OTA. "Generating Mechanism of Forces Acting on Retainer of Ball Bearings Supporting Unbalanced Rotating Shaft." Transactions of the Japan Society of Mechanical Engineers Series C 62, no. 600 (1996): 3210–15. http://dx.doi.org/10.1299/kikaic.62.3210.

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40

Bashkatov, VA, SA Khudyakov, and AV Ignatenko. "Practical confirmation of mechanical balancers effectiveness to reduce vibration of marine main diesel engines." Journal of Physics: Conference Series 2061, no. 1 (October 1, 2021): 012054. http://dx.doi.org/10.1088/1742-6596/2061/1/012054.

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Abstract The article discusses compensators of unbalanced moments from inertial forces of the second and variable components of the overturning moment of the main order and the elastic moment at the resonance of torsional vibrations of the shaft line of modern marine low-speed diesel engines. The efficiency of the diesel engine’s operation is analyzed based on the vibration measurements on ships and some problems caused by these devices.

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41

Das, A. S., J. K. Dutt, and K. Ray. "Active vibration control of unbalanced flexible rotor–shaft systems parametrically excited due to base motion." Applied Mathematical Modelling 34, no. 9 (September 2010): 2353–69. http://dx.doi.org/10.1016/j.apm.2009.11.002.

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42

Taghipour, Javad, Morteza Dardel, and Mohammad Hadi Pashaei. "Nonlinear vibration mitigation of a flexible rotor shaft carrying a longitudinally dispositioned unbalanced rigid disc." Nonlinear Dynamics 104, no. 3 (April 19, 2021): 2145–84. http://dx.doi.org/10.1007/s11071-021-06428-w.

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43

Taghipour, Javad, Morteza Dardel, and Mohammad Hadi Pashaei. "Nonlinear vibration analysis of a flexible rotor shaft with a longitudinally dispositioned unbalanced rigid disc." Communications in Nonlinear Science and Numerical Simulation 97 (June 2021): 105761. http://dx.doi.org/10.1016/j.cnsns.2021.105761.

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44

Knowles, Grahame, Antony Kirk, Chris Bingham, and Ron Bickerton. "Generalised analysis of compensating balancing sleeves with experimental results from a scaled industrial turbine coupling shaft." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 232, no. 19 (October 25, 2017): 3453–68. http://dx.doi.org/10.1177/0954406217737106.

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The paper furthers the analysis of a recently proposed balancing methodology for high-speed, flexible shafts. This mechanism imparts corrective balancing moments, having the effect of simulating the fixing moments of equivalent double or single encastre mounted shafts. This is shown to theoretically eliminate/nullify the first lateral critical speed, and thereby facilitate safe operation with reduced lateral critical speed margins. The paper extends previously reported research to encompass a more generalised case of multiple, concentrated, residual imbalances, thereby facilitating analysis of any imbalance distribution along the shaft. Solutions provide greater insight of the behaviour of the balancing sleeve concept, and the beneficial implications for engineering design. Specifically, (1) a series of concentrated imbalances can be regarded as an equivalent level of uniform eccentricity, and balance sleeve compensation is equally applicable to a generalised unbalanced distribution, (2) compensation depends on the sum of the applied balancing sleeve moments and can therefore be achieved using a single balancing sleeve (thereby simulating a single encastre shaft), (3) compensation of the second critical speed, and to a lesser extent higher orders, is possible by use of two balancing sleeves, positioned at shaft ends, (4) the concept facilitates on-site commissioning of trim balance, which requires a means of adjustment at only one end of the shaft, (5) the Reaction Ratio, RR, (simply supported/encastre), is independent of residual eccentricity, so that the implied benefits resulting from the ratio (possible reductions in the equivalent level of eccentricity) are additional to any balancing procedures undertaken prior to encastre simulation. Analysis shows that equivalent reductions in the order of 1/25th, are possible. Experimental measurements from a scaled model of a typical drive coupling employed on an industrial gas turbine package, loaded asymmetrically with a concentrated point of imbalance, are used to support the analysis and conclusions.

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Ellyin, F., and Z. Wolanski. "Transient Response of a Support Structure Excited by an Accelerating Unbalanced Rotor." Journal of Applied Mechanics 53, no. 2 (June 1, 1986): 417–23. http://dx.doi.org/10.1115/1.3171774.

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The transient vibration of a beam supporting an unbalanced rotor is investigated using finite element discretization techniques. The rotor speed is time dependent to simulate transients at startup. The beam is low-tuned relative to the rotor operating speed. A rigid rotor shaft mounted in an oil-film bearing is considered. The “short-bearing” approximation and nonlinear performance of the journal bearing are assumed. The method of solution for transient response is based on direct integration of the system equations of motion using finite element in time formulation. The results of numerical anlaysis are presented in graphical form and discussed. One notes significant effects of the journal bearing on the system response.

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Герасимов, М., M. Gerasimov, Н. Воробьев, N. Vorob'ev, В. Иванов, and V. Ivanov. "OPTIMIZATION OF PARAMETERS OF TWO-STAGE VIBRATION MECHANISM WITH ASYMMETRIC OSCILLATIONS BY DYNAMIC COEFFICIENT." Bulletin of Belgorod State Technological University named after. V. G. Shukhov 4, no. 10 (November 7, 2019): 149–53. http://dx.doi.org/10.34031/article_5db3fdb0e8c532.45857437.

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The mechanisms with asymmetric vibrations is the priority direction of development and creation of vibration devices for technological processes in the coming years. Mechanisms with asymmetric vibrations are constructively created on the basis of vibrators with directional vibrations in the form of steps, which differ from each other in the mass of unbalances, the radius of displacement of the center of mass from the axis of rotation and the frequency of rotation of the unbalanced shaft. The simplest device with asymmetric oscillations is a two-stage mechanism. Optimization of parameters of vibrators of each stage can be carried out according to the coefficient of dynamism of the oscillatory system. Rational parameters of the mechanism are consistent with the highest value of the coefficient of dynamism of the system. Currently, there is no method of design calculation for the translation of circular, elliptical and equally directed oscillations into asymmetric ones. The article presents the method of calculation associated with the translation of the parameters of vibration devices with circular, elliptical and equally directed vibrations into asymmetric ones with the highest coefficient of dynamism.

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Chiou, S.-T., and T. H. Davies. "The Ideal Locations for the Contra-Rotating Shafts of Generalized Lanchester Balancers." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 208, no. 1 (January 1994): 29–37. http://dx.doi.org/10.1243/pime_proc_1994_208_095_02.

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The inertia of the moving parts of high-speed planar mechanisms creates a shaking force that is variable in magnitude, direction and line of action throughout a cycle. Alternatively, the instantaneous shaking force vector can be represented by an equal parallel force acting through an arbitrarily chosen origin, together with a moment about that origin. The two components of the force and the moment can be computed by kinetostatic analysis at discrete intervals of a cycle to create three arrays. The discrete Fourier transform converts these arrays from the time to the frequency domain. The lowest frequency term of order k = 1 is of cycle frequency. Terms of higher order k > 1 have frequencies that are k times cycle frequency. The shaking force frequency term of order k can be represented by two contra-rotating force vectors of constant, but generally unequal, magnitude rotating at k times cycle frequency. The forces can be eliminated by equal and opposite forces exerted by counterweights mounted on contra-rotating shafts rotating at the same speed. However, if the locations of these shafts are both arbitrarily chosen, a shaking couple of order k will generally remain unbalanced. Fast Fourier transform (FFT) analysis of the array of moments as well as the force components enables suitable shaft locations to be determined in such a way that this couple vanishes. The couple vanishes if the balancing shafts are coaxial with a centre at an invariant location in the plane. The couple can also be eliminated even though the location of either shaft, but not both, is chosen arbitrarily. The location of the second shaft is then determinate and two procedures are explained to determine that location.

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48

Plaut, R. H., and J. Wauer. "Parametric, external and combination resonances in coupled flexural and torsional oscillations of an unbalanced rotating shaft." Journal of Sound and Vibration 183, no. 5 (June 1995): 889–97. http://dx.doi.org/10.1006/jsvi.1995.0293.

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Cheng, Jie, Zheng-Gui Li, Yang Xu, Wang-Xu Li, and Xin-Rui Li. "Study on the Unbalanced Curl Seal Failure of the Magnetorheological Fluid Sealing Device of the Hydraulic Turbine Main Shaft under Different Speed Abrupt Conditions." Processes 9, no. 7 (July 5, 2021): 1171. http://dx.doi.org/10.3390/pr9071171.

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The fluid flow in the runner of a hydraulic turbine has serious uncertainties. The sealing failure of the magnetorheological (MR) fluid sealing device of the main shaft of the hydroturbine, caused by a sudden change in speed, has always been a difficult topic to research. This study first derives the MR fluid seal pressure and unbalanced curl equations of the hydroturbine main shaft, and then analyzes the seal pressure and friction heat under different rotational speed mutation conditions through experiments. After verification, the temperature field and magnetic field distribution of the MR fluid sealing device of the main shaft of the hydraulic turbine are obtained via numerical calculation. The results show that the external magnetic field affects the magnetic moment of the magnetic particles in the MR fluid, resulting in a significant change in frictional heat, thereby reducing the saturation of magnetic induction intensity of the MR fluid. This results in a decrease in the sealing ability of the device. The size and abrupt amplitude of the main shaft of the hydraulic turbine, and friction heat is positively correlated reducing the sealing ability of the device and causing sealing failure. Based on our results, we recommend adding the necessary cooling to the device to reduce the frictional heat, thereby increasing the seal life of the device.

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Rubio, Lourdes, Belén Muñoz-Abella, Patricia Rubio, and Laura Montero. "Quasi-static numerical study of the breathing mechanism of an elliptical crack in an unbalanced rotating shaft." Latin American Journal of Solids and Structures 11, no. 13 (2014): 2333–50. http://dx.doi.org/10.1590/s1679-78252014001300002.

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Journal articles on the topic 'Unbalanced shaft'

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