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1

GUPTA, J. B. "NEW PERSPECTIVE IN ROTATION–VIBRATION INTERACTION." International Journal of Modern Physics E 22, no. 05 (2013): 1350023. http://dx.doi.org/10.1142/s0218301313500237.

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A linear relation for the level energy ratios in the ground band of even–even nuclei, based on the rotation–vibration expression, is derived and its application on a universal scale, including the O(6), E(5) and X(5) symmetries, is illustrated. A microscopic view of this relation and of the collective model is given. Also, an approximate relationship with single term power index formula E = aIb is demonstrated.
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2

Meyer, U. "The triaxial rotation vibration model in the Xe_Ba region." Progress in Particle and Nuclear Physics 38 (1997): 241–43. http://dx.doi.org/10.1016/s0146-6410(97)00031-8.

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3

Meyer, U., Amand Faessler, and S. B. Khadkikar. "The triaxial rotation vibration model in the XeBa region." Nuclear Physics A 624, no. 3 (1997): 391–400. http://dx.doi.org/10.1016/s0375-9474(97)00380-1.

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4

Liu, Xiaogang, Zhaoyu Wu, Jie Lu, and Jinli Xu. "Investigation of the Effect of Rotation Speed on Vibration Responses of Transmission System." MATEC Web of Conferences 256 (2019): 02019. http://dx.doi.org/10.1051/matecconf/201925602019.

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In the operating process, it is found the vibration of main reducer reaches a maximum value when certain types of vehicles are running at a speed around 4000 RPM. However, how the rotation speed of engine affects the vibration responses to automobile transmission system has not been investigated theoretically in details. To investigate this problem, the transmission system of automobile is simplified to a drive-final shaft system in this research, and a coupled vibration model of drive-final shaft system is developed. This model is used to simulate the vibration response to transmission system
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5

Qin, Kang, Zhong Gen Xu, and Chang Gen Deng. "Analysis of Oxytropis Tower Structure with Model Method." Applied Mechanics and Materials 405-408 (September 2013): 1012–16. http://dx.doi.org/10.4028/www.scientific.net/amm.405-408.1012.

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Basic principles of the modal analysis are introduced. Model analysis of an oxytropis tower which is in an actual transmission tower system is carried out. Rationality of the modal is checked by results of the vibration periods. Meanwhile, analysis of vibration types of transformation and rotation under seismic action is also carried out, in order to provide reference data for further elastic-plastic analysis.
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6

Barts, B. I., E. V. Inopin, and N. A. Shlyakhov. "Quadrupole-octupole rotation-vibration model with self-consistent moments of inertia." Nuclear Physics A 448, no. 2 (1986): 253–70. http://dx.doi.org/10.1016/0375-9474(86)90090-4.

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7

Botero, D. F. Morales, L. C. Chamon, and B. V. Carlson. "Transition densities in the context of the generalized rotation-vibration model." Journal of Physics G: Nuclear and Particle Physics 44, no. 10 (2017): 105102. http://dx.doi.org/10.1088/1361-6471/aa846e.

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8

Berezin, V. I., and M. D. �l'kin. "Valence-optical scheme and vibration-rotation model of a polyatomic molecule." Journal of Applied Spectroscopy 56, no. 3 (1992): 212–16. http://dx.doi.org/10.1007/bf00659097.

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9

Child, Mark S., and Qingshi Zhu. "Vibration—rotation Hamiltonian of tetrahedral molecules in the local-mode model." Chemical Physics Letters 184, no. 1-3 (1991): 41–44. http://dx.doi.org/10.1016/0009-2614(91)87161-4.

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10

Wang, Cheng Jun, Long Li, Xiang Rui Meng, Qiong Liu, and Tian Yu Zhang. "Kinetic Properties of Hybrid Vibration Screen with Two-Translation and One-Rotation." Key Engineering Materials 693 (May 2016): 356–63. http://dx.doi.org/10.4028/www.scientific.net/kem.693.356.

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To meet the need of modernized coal dressing, topology theory was used to build a kind of hybrid mechanism 2PRRR-R which can work as a main excitation mechanism of three freedom degree hybrid vibration screen with two-translation and one-rotation. Next, D′Alembert’s principle was introduced to establish a kinetic model of vibration screen frame and surface, and kinematic equations of directions of vibration screen frame and surface was achieved. Then, ADAMS was used to perform kinetic simulation of vibration screen, and kinetic parameters of the hybrid vibration screen was finally tested on mu
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11

Luo, Yin, Shouqi Yuan, Yue Tang, Jianping Yuan, and Jinfeng Zhang. "Modeling Optimal Scheduling for Pumping System to Minimize Operation Cost and Enhance Operation Reliability." Journal of Applied Mathematics 2012 (2012): 1–19. http://dx.doi.org/10.1155/2012/370502.

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Traditional pump scheduling models neglect the operation reliability which directly relates with the unscheduled maintenance cost and the wear cost during the operation. Just for this, based on the assumption that the vibration directly relates with the operation reliability and the degree of wear, it could express the operation reliability as the normalization of the vibration level. The characteristic of the vibration with the operation point was studied, it could be concluded that idealized flow versus vibration plot should be a distinct bathtub shape. There is a narrow sweet spot (80 to 10
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12

Gulshani, P. "A microscopic derivation of nuclear collective rotation–vibration model, axially symmetric case." Canadian Journal of Physics 94, no. 1 (2016): 79–88. http://dx.doi.org/10.1139/cjp-2015-0371.

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We derive a microscopic version of the successful phenomenological hydrodynamic model of Bohr–Davydov–Faessler–Greiner for collective rotation–vibration motion of an axially symmetric deformed nucleus. The derivation is not limited to small oscillation amplitudes. The nuclear Schrödinger equation is canonically transformed to collective coordinates, and then linearized using a constrained variational method. The associated constraints are imposed on the wavefunction rather than on the particle coordinates. This approach yields three self-consistent, time-reversal invariant, cranking-type Schrö
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13

Kim, J. "Rotation Effects on Vibration of Structures Seen From a Rotating Beam Simply Supported off the Rotation Axis." Journal of Vibration and Acoustics 128, no. 3 (2005): 328–37. http://dx.doi.org/10.1115/1.2172261.

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In rotating beams, the Coriolis force acts through the mass and rotary inertias of the beam. A rotating beam simply supported off the axis of rotation is used as an example to study effects of this Coriolis force on vibration of structures. By adopting such a simple model, mass- and rotary inertia-induced terms in the free vibration responses can be obtained in separate, closed forms. The effect of each of these terms on vibration characteristics of the rotating beam is discussed in relation to parameters such as nonrotating natural frequencies, the rotation speed, and the slenderness ratio. P
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14

Wu, Xue Min, and Wei Ping Huang. "An Analysis Method for Deepwater TTR Coupled Vibration of Parameter Vibration and Vortex-Induced Vibration." Applied Mechanics and Materials 284-287 (January 2013): 437–41. http://dx.doi.org/10.4028/www.scientific.net/amm.284-287.437.

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The long slender cylinder often suffers the high Reynolds number in ocean environment, and its dynamic characters and vortex shedding modes vary with a number of mechanical, physical and fluid–solid parameters.Considering the vertical vibration, caused by floating platform, of top tensioned riser (TTR), an analysis method for the coupled vibration of parameter excited vibration and vortex-induced vibration is presented in this paper. With the section rotation and shear deformation due to the bending large displacement of TTR, a coupled vibration model of parameter excited vibration and vortex-
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15

Souza, José W. N. de, Leonardo de A. Monteiro, Viviane C. dos Santos, Marcio P. da Silva, Isabela O. Lima, and Walisson M. Silveira. "Efficiency of anti-vibration gloves in soil preparation using a micro tractor." Revista Brasileira de Engenharia Agrícola e Ambiental 24, no. 6 (2020): 422–27. http://dx.doi.org/10.1590/1807-1929/agriambi.v24n6p422-427.

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ABSTRACT During the working day, agricultural machinery operators are often exposed to physical risks, such as vibration, which can compromise their health and performance. Micro tractors emit high levels of vibration, which mainly affect their hands and arms. Thus, this study aims at evaluating the efficiency of different glove models in reducing vibration transmitted by the micro tractor/rotary tiller assembly according to the operating velocity and the rotation of the rotary tiller rotor. A completely randomized block design was used in a 4 x 2 x 2 factorial arrangement with five replicates
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16

Baylan, Mehmet, İhsan Uluer, Atalay Küçükbursa, and İsmail Maraş. "E2/M1 Multipole Mixing Ratios of 162Dy Nucleus in Rotation Vibration Model." Mathematical and Computational Applications 1, no. 1 (1996): 154–58. http://dx.doi.org/10.3390/mca1010154.

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17

Iachello, F., S. Oss, and L. Viola. "Rotation-vibration interaction and Fermi resonances of HCCF in the vibron model." Molecular Physics 78, no. 3 (1993): 561–75. http://dx.doi.org/10.1080/00268979300100391.

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18

Yao-Min, Di. "Rotation-Vibration Coupling in the Geometric Representation of the Interacting Boson Model." Chinese Physics Letters 19, no. 3 (2002): 319–20. http://dx.doi.org/10.1088/0256-307x/19/3/310.

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19

Rykov, Sergey Alekseevich, Irina Kudryavtseva, and Sergey Vladimirovich Rykov. "VIBRATION MODULATION CAUSES AT ROTATION FREQUENCY IN ROTARY MACHINES." Akustika 32 (March 1, 2019): 151–57. http://dx.doi.org/10.36336/akustika201932151.

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The results of theoretical and experimental studies of the modulation of vibrations of rotary machines have been presented at rotation frequency. It has been shown that at the rotation frequency, the possible causes of the origin of the “side” spectral discrete components are the presence of a clearance and friction in bearing units. On the basis of the data obtained in the mathematical model, the diagnostic methods of the quality of functioning the bearing unit of rotary mechanisms are proposed.
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20

Ren, Fushen, Baojin Wang, Suli Chen, Zhigang Yao, and Baojun Bai. "Nonlinear Model and Qualitative Analysis for Coupled Axial/Torsional Vibrations of Drill String." Shock and Vibration 2016 (2016): 1–17. http://dx.doi.org/10.1155/2016/1646814.

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A nonlinear dynamics model and qualitative analysis are presented to study the key effective factors for coupled axial/torsional vibrations of a drill string, which is described as a simplified, equivalent, flexible shell under axial rotation. Here, after dimensionless processing, the mathematical models are obtained accounting for the coupling of axial and torsional vibrations using the nonlinear dynamics qualitative method, in which excitation loads and boundary conditions of the drill string are simplified to a rotating, flexible shell. The analysis of dynamics responses is performed by mea
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21

Zhang, Li Rong. "Brief Analysis of Torsional Vibration of Vehicle Engine." Advanced Materials Research 694-697 (May 2013): 302–6. http://dx.doi.org/10.4028/www.scientific.net/amr.694-697.302.

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This article has established the machine shop truck with the engine shafting torsional vibration model, analyzed the engine rotation inertia and the torsional rigidity, established the engine crank torsional vibration equation, analyzed the machine shop truck to have the torsional vibration reason with the engine, proposed the engine torsional vibration reduced the method, has certain reference value to the engine design and the use.
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22

Pustka, Martin, and Pavel Šidlof. "Self-excited Vibration of Ink Rollers." ACC Journal 27, no. 1 (2021): 29–36. http://dx.doi.org/10.15240/tul/004/2021-1-003.

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A vibration having a character of self-excited chatter oscillation known from machine tools is observed during intermittent motion of ink rollers of offset printing machines. This vibration occurs under specific operating conditions and is often accompanied by an increased noise level. To explain this unusual vibration behavior, a simple analytical model of two rollers interaction is derived. The calculated oscillation is compared with the measurement of ductor roller displacement. The model results confirm the possibility of self-excited vibration development in the presence of viscous forces
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23

Lin, B. C., and A. S. Papageorgiou. "Demonstration of Torsional Coupling Caused by Closely Spaced Periods—1984 Morgan Hill Earthquake Response of the Santa Clara County Building." Earthquake Spectra 5, no. 3 (1989): 539–56. http://dx.doi.org/10.1193/1.1585539.

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The parameters of the dominant modes of vibration of the steel-framed Santa Clara County Office Building in San Jose, California, are determined using “the modal minimization method” for structural identification. The optimal estimates of the model parameters are determined by minimizing a selected measure-of-fit between the responses of the structure and the model. Two types of models are used: (1) A planar linear model with classical damping and (2) A three dimensional linear model consisting of rigid floor decks, where each floor is allowed three degrees of freedom - two orthogonal translat
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24

Halilbeşe, Akile Neşe, Cong Zhang, and Osman Azmi Özsoysal. "Effect of Coupled Torsional and Transverse Vibrations of the Marine Propulsion Shaft System." Journal of Marine Science and Application 20, no. 2 (2021): 201–12. http://dx.doi.org/10.1007/s11804-021-00205-2.

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AbstractIn this study, the coupled torsional–transverse vibration of a propeller shaft system owing to the misalignment caused by the shaft rotation was investigated. The proposed numerical model is based on the modified version of the Jeffcott rotor model. The equation of motion describing the harmonic vibrations of the system was obtained using the Euler–Lagrange equations for the associated energy functional. Experiments considering different rotation speeds and axial loads acting on the propulsion shaft system were performed to verify the numerical model. The effects of system parameters s
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25

Przysowa, Radosław. "The Analysis Of Synchronous Blade Vibration Using Linear Sine Fitting." Journal of KONBiN 30, no. 1 (2014): 5–19. http://dx.doi.org/10.2478/jok-2014-0011.

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Abstract In Blade Tip Timing several sensors installed circumferentially in the casing are used to record times of arrival (TOA) and observe deflections of blade tips. This paper aims to demonstrate methodology of model-based processing of aliased data. It focuses on the blade vibration excited by the forces synchronous with engine rotation, which are called integral responses. The driven harmonic oscillator with single degree of freedom (SDOF) is used to analyse blade vibration measured by tip-timing sensors during engine deceleration. When integral engine order EO is known, the linear sine f
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26

Tseng, J. G., and J. A. Wickert. "Nonconservative Stability of a Friction Loaded Disk." Journal of Vibration and Acoustics 120, no. 4 (1998): 922–29. http://dx.doi.org/10.1115/1.2893921.

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This paper investigates the vibration of an annular disk that is subjected to rotation and in-plane frictional traction distributed over a sector of the disk’s two faces. Technical applications include noise, vibration, and harshness in automotive and aircraft disk brakes, clutches, transmissions, and other rotating machine components. To the degree that the rotor-to-stator friction in such cases is directed along the disk’s deformable surface, it is treated here as a nonconservative follower-type load. The vibration model incorporates membrane stiffness which derives both from rotation, and f
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27

Tian, Jing, Yan-Ting Ai, Cheng-Wei Fei, Feng-Ling Zhang, and Yat-Sze Choy. "Dynamic modeling and simulation of inter-shaft bearings with localized defects excited by time-varying displacement." Journal of Vibration and Control 25, no. 8 (2019): 1436–46. http://dx.doi.org/10.1177/1077546318824927.

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To accurately describe the dynamic features of inter-shaft bearings with localized defect under operation, the dynamic model of inter-shaft bearing with localized defects was established with respect to time-varying displacement excitation. Based on fault simulations on a birotor experimental rig, the developed dynamic model of inter-shaft bearing is validated to have high accuracy (over 99%) when localized defects happen on inner and outer race with co- and counter-rotation, which indicates that the model can be adopted to simulate the faults of inter-shaft bearing instead of experiment. Thro
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28

Liu, Xing, Kazuteru Nagamura, and Kiyotaka Ikejo. "Simulation on the vibration characteristics of elliptical gears." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 227, no. 4 (2012): 819–30. http://dx.doi.org/10.1177/0954406212454372.

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Elliptical gear drive is a typical non-circular gear drive, which can be used to transmit a variable-ratio rotation and power simultaneously. To date, elliptical gears are commonly used in automatic machinery, pumps, flow meters and printing presses. However, the vibration characteristics of elliptical gears have not been clarified yet. Due to the non-uniform rotation, the vibration of elliptical gear demonstrates particular characteristics, which should be paid attention to in practical application. This article presents a simulation method on the vibration characteristics of elliptical gears
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29

Xu, Lizhong, and Jinan Yang. "Vibration Analysis of a Two-Step Sine Movable Tooth Drive." Shock and Vibration 2018 (October 24, 2018): 1–11. http://dx.doi.org/10.1155/2018/4205273.

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In this study, a 3D model of a two-step sine movable tooth drive is developed in the UG software. The finite element model (FEM) analysis package, ANSYS, is used to calculate the natural frequencies and vibration modes of the drive system. The results show that the first twenty natural frequencies can be classified into five families, including the total system vibration mode, single-element vibration mode, two-element vibration mode, three-element vibration mode, and four-element vibration mode. The effects of the system parameters on the natural frequencies and the vibration modes are invest
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30

Chamon, L. C., and D. F. Morales Botero. "Folding-type coupling potentials in the context of the generalized rotation–vibration model." Journal of Physics G: Nuclear and Particle Physics 45, no. 3 (2018): 035104. http://dx.doi.org/10.1088/1361-6471/aaa8b5.

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31

Leviatan, Amiram, and Michael W. Kirson. "Intrinsic and collective structure of an algebraic model of molecular rotation-vibration spectra." Annals of Physics 188, no. 1 (1988): 142–85. http://dx.doi.org/10.1016/0003-4916(88)90093-0.

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32

Sheng, Lianchao, Wei Li, Yuqiao Wang, Xuefeng Yang, and Mengbao Fan. "Rigid-flexible coupling dynamic model of a flexible planar parallel robot for modal characteristics research." Advances in Mechanical Engineering 11, no. 1 (2019): 168781401882346. http://dx.doi.org/10.1177/1687814018823469.

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The increasing applications of flexible parallel robots in industrial production have presented the advantages of light weight and high speed, but at the same time, the elastic vibration problem has emerged. By investigating the modal features of flexible parallel robots so as to suppress the elastic vibration, with pinned-pinned as flexible intermediate links boundary conditions, this article analyzes the rigid-flexible coupling dynamic mathematical model of the 3-RRR (3-Rotate-Rotate-Rotate) flexible planar parallel robot with flexible intermediate links. The effect of the extremity concentr
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33

Wu, Bin, Shan Ping Yu, Yue Gang Luo, and Chang Jian Feng. "Varying Rotation Speed Bearing Fault Features and Extraction Method Based on Wavelet Packet." Applied Mechanics and Materials 644-650 (September 2014): 286–89. http://dx.doi.org/10.4028/www.scientific.net/amm.644-650.286.

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When bearing rotates, it comes with elastic hydrodynamic lubrication effect. Interaction between the effect and the bearing vibration leads to the change of lubricant film thickness, thus, contact stiffness of contact pair changes along with the rotation speed of the bearing, and then the resonance frequencies of the bearing system changes according to the rotation speed. In addition, the impact signal of varying speed bearing damage point no longer has the periodic characteristics. Based on the analysis of the bearing failure mechanism, this paper proposed a varying speed bearing vibration si
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34

Yayli, Mustafa Ö., Suheyla Y. Kandemir, and Ali E. Çerçevik. "Torsional vibration of cracked carbon nanotubes with torsional restraints using Eringen’s nonlocal differential model." Journal of Low Frequency Noise, Vibration and Active Control 38, no. 1 (2018): 70–87. http://dx.doi.org/10.1177/1461348418813255.

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Free torsional vibration of cracked carbon nanotubes with elastic torsional boundary conditions is studied. Eringen’s nonlocal elasticity theory is used in the analysis. Two similar rotation functions are represented by two Fourier sine series. A coefficient matrix including torsional springs and crack parameter is derived by using Stokes’ transformation and nonlocal boundary conditions. This useful coefficient matrix can be used to obtain the torsional vibration frequencies of cracked nanotubes with restrained boundary conditions. Free torsional vibration frequencies are calculated by using F
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35

Yang, Wenguang, and Dongxiang Jiang. "An Improved Rigid Multibody Model for the Dynamic Analysis of the Planetary Gearbox in a Wind Turbine." Shock and Vibration 2016 (2016): 1–18. http://dx.doi.org/10.1155/2016/9742673.

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This paper proposes an improved rigid multibody model for the dynamic analysis of the planetary gearbox in a wind turbine. The improvements mainly include choosing the inertia frame as the reference frame of the carrier, the ring, and the sun and adding a new degree of freedom for each planet. An element assembly method is introduced to build the model, and a time-varying mesh stiffness model is presented. A planetary gear study case is employed to verify the validity of the improved model. Comparisons between the improvement model and the traditional model show that the natural characteristic
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36

Luo, Liang, Weimin Zhang, Haonan Sui, and Jürgen Fleischer. "An Electromechanical Co-Simulation Model Based on Lumped Parameter Model of Ball Screw Feed Drive System." MATEC Web of Conferences 237 (2018): 03007. http://dx.doi.org/10.1051/matecconf/201823703007.

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The continuous search for efficiency put forward higher requests to the machine tool for high speed and high acceleration, which makes the large-size and lightweight-designed feed drive system more likely to produce vibration during high-speed and high-acceleration feed operation. Ball screw feed system is the most widely used linear drive system in the field of industrial automation. Electromechanical Co-Simulation for ball screw feed drive dynamics is an important technique for solving vibration problems occurs in the feed motion. In view of the shortcomings of the current dynamic simulation
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37

Zhu, XiaoHua, and Jun Jing. "Improving the drilling performance of hole enlargement via optimized operation." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 229, no. 9 (2014): 1562–77. http://dx.doi.org/10.1177/0954406214545819.

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The severe vibration experienced by the bottom hole assembly (BHA) in the process of hole enlargement when drilling (HEWD) is the major cause for deteriorated drilling performance. A dynamic model of the system of reamer near pilot bit (RNB)-HEWD-BHA including the drillstring and drill collar is formulated with the finite element method. Based on the dynamic analysis and some project cases of hole enlargement, the relationship between operating rotation speed and dynamic characteristics of RNB-HEWD-BHA is discussed. The results show that “the optimum operating rotation speed” exists to this ki
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38

Chen, Dongju, Na Li, Ri Pan, and Jihong Han. "Analysis of aerostatic spindle radial vibration error based on microscale nonlinear dynamic characteristics." Journal of Vibration and Control 25, no. 14 (2019): 2043–52. http://dx.doi.org/10.1177/1077546319845429.

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This paper presents a method of predicting the radial rotary error of an aerostatic spindle based on the microscale-effect to investigate the influence of gas film fluctuation on the rotation accuracy of the aerostatic spindle. First, the gas bearing of the spindle is simplified as a spring-damping system with two degrees of freedom perpendicular to each other. Additionally, the aerostatic spindle bearing-rotor system is established by considering the forced vibration and deflection vibration of the rotor. Subsequently, the microscale-effect is introduced into the dynamic model of the gas film
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39

Dhouib, S., R. Hbaieb, F. Chaari, M. S. Abbes, T. Fakhfakh, and M. Haddar. "Free vibration characteristics of compound planetary gear train sets." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 222, no. 8 (2008): 1389–401. http://dx.doi.org/10.1243/09544062jmes870.

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In this study, a plane model of a compound planetary gear train (CPGT) is proposed in order to study its free vibration characteristics. Two translations and one rotation are considered for each element (sun, carrier, ring-1, ring-2, and planets) of the CPGT. The contact between the teeth in mesh is modelled by linear springs with stiffness called gearmesh stiffness. The phasing between these stiffness is taken into account. Using Lagrange formulation, the equation of motion is derived. Starting from the eigenvalue problem of the system, the influence of the planets’ number and position, and t
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40

Liu, Guan-Chen, Li Xu, Jie Li, Qiang Sun, Zong-Qiang Liu, and Hai-Wen Chen. "Simulation of Abrasion Characteristics of Polar Ship Seawater Pipelines under the Coupling of Ice Particles and Vibration." Applied Sciences 10, no. 4 (2020): 1349. http://dx.doi.org/10.3390/app10041349.

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Under the erosion of seawater–ice two-phase flow, seawater in pipelines of polar ships can cause the pipeline failures that threaten the safety of navigations. The discrete phase model (DPM) and erosion wear model (EWM) were established by using the computational fluid dynamics (CFD) method for numerical analysis of the 90° elbow with relatively severe erosion. This paper explores the erosion effect of pipelines under different conditions and puts forward optimal measures for pipeline protection. Compared with the existing multiphase flow research, the novelty of this study is that vibration c
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41

Shi, Yao Chen, Zhan Guo Li, and Xiu Guang Yang. "The Study of Arc Teethed Automotive Synchronous Belt's Transmission Stability." Advanced Materials Research 915-916 (April 2014): 277–80. http://dx.doi.org/10.4028/www.scientific.net/amr.915-916.277.

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The vibration of belt affected the transmission stability of automotive synchronous belt. The mathematical model of longitudinal vibration was established through analyzing the longitudinal vibration of automotive synchronous belt. Developed the vibration dynamic measurement device, aiming at RU style arc teethed synchronous belt transmission process, measured the variety of amplitude over time at the middle of the belt span obtained the rules of amplitude and frequency change along with the rotation speed. It is of certain importance to improving the transmission stability of arc teethed sync
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42

Wang, Feng, Zhiqiang Wu, Yajie Li, and Yuancen Wang. "Transverse nonlinear vibration of the eccentric rotor in a 12/8 switched reluctance motor." Engineering Computations 37, no. 8 (2020): 2711–33. http://dx.doi.org/10.1108/ec-03-2019-0107.

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Purpose To investigate transverse vibration of the eccentric rotor in a 12/8 poles switched reluctance motor (SRM), a transverse analytical vibration model is built by finite element method (FEM) under the interaction of radial magnetic resultant and vibration displacement. External forces, including radial magnetic resultant and centrifugal force, are also derived in detail, according to the variation of airgap and current and other intermediate parameters with rotation angle. Design/methodology/approach The transverse vibration response of the eccentric rotor including radial magnetic result
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Guo, Li-Xin, and Ee-Chon Teo. "Prediction of the Modal Characteristics of the Human Spine at Resonant Frequency Using Finite Element Models." Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine 219, no. 4 (2005): 277–84. http://dx.doi.org/10.1243/095441105x34275.

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To understand the dynamic characteristics of the human spine, a detailed three-dimensional finite element model of the lower thorax to pelvis segment, T12-pelvis, was developed based on actual vertebral geometry. After modal analysis, the resonant frequencies of different spinal segments were obtained. The vibration mode of T12-pelvis shows that the human upper body mainly performs the vertical motion during whole-body vibration and the lumbar spine segment conducts translation and rotation in the sagittal plane. The lower segments of the lumbar spine move in flexion and the upper lumbar segme
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Liu, Wei, Ying Cao Zhou, and Qing Zhao. "A New Analytical Model on Lateral Vibration and Impact of Drill String - Choice of Safe and Fast Drilling." Applied Mechanics and Materials 29-32 (August 2010): 2350–55. http://dx.doi.org/10.4028/www.scientific.net/amm.29-32.2350.

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The severe lateral vibration and impact of drill string will not only cause the damage of drill string but also have bad effects on the quality of directional drilling operation. It is difficult to control lateral vibration amplitude and impact intensity even with advanced measurement apparatus while drilling. So it is feasible to use a theoretic method to analyze and predict lateral vibration of drill string in order to adjust and optimize drilling parameters in real-time. On the basis of beam-column series and spring-concentrated mass model, a new analytical model is established to realize t
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Beck, Jordan P., Marc N. Muniz, Cassidy Crickmore, and Logan Sizemore. "Physical chemistry students’ navigation and use of models to predict and explain molecular vibration and rotation." Chemistry Education Research and Practice 21, no. 2 (2020): 597–607. http://dx.doi.org/10.1039/c9rp00285e.

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Models that are used to predict and explain phenomena related to molecular vibration and rotation are ubiquitous in physical chemistry, and are of importance in many related fields. Yet, little work has been done to characterize student use and application of these models. We describe the results of a multi-year, multi-institutional qualitative study to investigate how students work with and apply models of molecular vibration and rotation. Our findings indicate that a sizable fraction of students (1) struggle to interpret the meaning of wavefunctions, (2) do not appropriately build potential
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Ackerhalt, Jay R., and Peter W. Milonni. "Chaos and incoherence in a classical rotation-vibration model of infrared multiple-photon excitation." Physical Review A 37, no. 5 (1988): 1552–62. http://dx.doi.org/10.1103/physreva.37.1552.

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Troltenler, D., J. A. Maruhn, W. Greiner, and S. G. Rohozinski. "An extended version of the rotation-vibration model with different proton and neutron deformations." Nuclear Physics A 494, no. 2 (1989): 235–43. http://dx.doi.org/10.1016/0375-9474(89)90021-3.

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Bastrukov, S., J. W. Yu, R. X. Xu, and I. Molodtsova. "Vibration-Powered Radiation of Quaking Magnetar." ISRN Astronomy and Astrophysics 2011 (January 5, 2011): 1–5. http://dx.doi.org/10.5402/2011/843825.

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In juxtaposition with the standard model of rotation-powered pulsar, the model of vibration-powered magnetar undergoing quake-induced torsional Alfvén vibrations in its own ultrastrong magnetic field experiencing decay is considered. The presented line of argument suggests that the gradual decrease of frequencies (lengthening of periods) of long-periodic-pulsed radiation detected from a set of X-ray sources can be attributed to magnetic-field-decay-induced energy conversion from seismic vibrations to magnetodipole radiation of quaking magnetar.
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Jiang, Bin, Pei Yi Zhao, Ji Guang Song, Bo Chen, and Jin Xuan Bai. "Vibration-Wear Characteristics of Cutter in High Speed Ball-End Milling Hardened Steel." Key Engineering Materials 522 (August 2012): 81–86. http://dx.doi.org/10.4028/www.scientific.net/kem.522.81.

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For vibration-wear characteristics of cutter in high speed ball-end milling hardened steel, established vibration-wear model of high speed milling cutter according to the principle of friction work, researched the influence of basic frequency and multiplication frequency of cutter vibration on its wear, and analyzed the interaction between cutter vibration and wear. By means of changing cutter extended length, rotation speed and cutting depth, made the change of cutter vibration, analyzed the influence of cutter vibration on its fretting and impact wear, explored the evolution process of compo
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Yan, Hongbo, Yu Niu, Hong Gao, and Hongbo Hao. "Research on Chaos Response of the Nonlinear Vibration System of Giant Magnetostrictive Actuator." Mathematical Problems in Engineering 2020 (March 19, 2020): 1–14. http://dx.doi.org/10.1155/2020/4281418.

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In the present study, the chaotic response of the nonlinear magnetostrictive actuator (GMA) vibration system is investigated. The mathematical model of the nonlinear GMA vibration system is established according to J-A hysteresis nonlinear model, quadratic domain rotation model, Newton’s third law, and principle of GMA structural dynamics by analyzing the working principle of GMA. Then, the Melnikov function method is applied to the threshold condition of the chaotic response of the system to obtain the sense of Smale horseshoe transformation. Furthermore, the mathematical model is solved to i
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