Torsional vibration analysis of lathe spindle system with unbalanced workpiece

Guo, Rui; Jang, Sung-Hyun; Choi, Young-Hyu

doi:10.1007/s11771-011-0676-8

Cited by 11 publications

(4 citation statements)

References 13 publications

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“…In Table 4,11 CREs are not greater than 1% and 1 CRE is greater than 4% in the 16 datasets. The CRE, in total, is not greater than 1% in Figure 5(a), which means (11/16) × 100% = 68.8%.…”

Section: The Comparative Analysis Of the Eigenfrequencies Using The Chebyshev-ritz Method Finite Element Method And A Modal Experimentsmentioning

confidence: 86%

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Three-Dimensional Free Vibration Analysis of Gears with Variable Thickness Using the Chebyshev–Ritz Method

Liu

Wang

et al. 2018

Mathematical Problems in Engineering

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To reflect vibration more comprehensively and to satisfy the machining demand for high-order frequencies, we presented a three-dimensional free vibration analysis of gears with variable thickness using the Chebyshev–Ritz method based on three-dimensional elasticity theory. We derived the eigenvalue equations. We divided the gear model into three annular parts along the locations of the step variations, and the admissible function was a Ritz series that consisted of a Chebyshev polynomial multiplying boundary function. The convergence study demonstrated the high accuracy of the present method. We used a hammering method for a modal experiment to test two annular plates and one gear’s eigenfrequencies in a completely free condition. We also applied the finite element method to solve the eigenfrequencies. Through a comparative analysis of the frequencies obtained by these three methods, we found that the results achieved by the Chebyshev–Ritz method were close to those obtained from the experiment and finite element method. The relative errors of four sets of data were greater than 4%, and the errors of the other 48 sets were less than 4%. Thus, it was feasible to use the Chebyshev–Ritz method to solve the eigenfrequencies of gears with variable thickness.

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“…In Table 4,11 CREs are not greater than 1% and 1 CRE is greater than 4% in the 16 datasets. The CRE, in total, is not greater than 1% in Figure 5(a), which means (11/16) × 100% = 68.8%.…”

Section: The Comparative Analysis Of the Eigenfrequencies Using The Chebyshev-ritz Method Finite Element Method And A Modal Experimentsmentioning

confidence: 86%

“…There are several plate theories according to different thickness-diameter ratios [10,11]. Kirchhoff established the foundation of a thin-plate theory with research on the vibration of a thin plate [12].…”

Section: Introductionmentioning

confidence: 99%

Three-Dimensional Free Vibration Analysis of Gears with Variable Thickness Using the Chebyshev–Ritz Method

Liu

Wang

et al. 2018

Mathematical Problems in Engineering

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“…The existence and uniqueness of the limit cycle of the torsional vibration differential equations on rolling mill's main drive system were discussed, and the self-excited vibration of the statistical properties by simplifying the rolling mill's main drive system to a single degree of freedom system was analyzed [8]. The torsional vibration problem of lathe spindle system with unbalanced workpiece was studied [9]. Torsional vibration analysis about axis of the rolls on the transfer function of variable-speed rolling mill motor with shaft systems was studied [10].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Torsional Vibration Dynamics Behaviors of Rolling Mill’s Multi-DOF Main Drive System under Parametric Excitation

Han

Shi

Xia

2014

Journal of Applied Mathematics

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Considering the influence caused by joint angle, nonlinear damping, and nonlinear rigidity, the nonlinear torsional vibration dynamical modeling of the multi-DOF rolling mill’s main drive system is established. To analyze the coupled equations by analytic method, the equations are decoupled by transforming them into principal coordinates. The amplitude-frequency characteristic equations are obtained by multiscale method. Furthermore, numerical example based on the 1780 rolling mill’s main drive system of some Steel Co. is given to illustrate the effects of the resonance on the response of the system. The relationship between amplitude and frequency varies according to the parameters changes of nonlinear stiffness, nonlinear friction damping, torque disturbance, and joint angle. During the rolling process, the limited joint angles range is obtained and the variation rules of the joint angle caused by the nonlinear damping, nonlinear stiffness, and the disturbance torque are gained. The results present that the rolling mill can work more stably with the joint angle at a range from 2° to 8° by controlling the value of parameters. The research results provide a theoretical basis and reference for analyzing torsional vibration of rolling mill’s transmission system caused by joint angle.

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“…Also, HWANG and LEE [15−16] investigated the variable preload device using a centrifugal force and electromagnet. In recent years, studies on the vibration analysis of machining centers have been actively performed with the high speed of machine tools [17].…”

Section: Introductionmentioning

confidence: 99%

Effects of automatic variable preload device on performance of spindle

Kim

Lee

2012

J. Cent. South Univ. Technol.

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To increase the machine accuracy by improving the stiffness of bearings, a preload was applied to bearings. A variable preload technology was necessary to perform machining processes in both low and high speed regions. An automatic variable preload device was fabricated using an eccentric mass. By installing the fabricated device on a spindle, the effect of the automatic variable preload device on the performance of the spindle was analyzed. In the results of the vibration measurement of the spindle, the vibration is increased by 20%−37% according to measurement points at the maximum rotation speed of 5 000 r/min. And, in the results of the noise measurement of the spindle, the spindle rotation speed is increased by about 1.9% and 1.5% at the front and side of the spindle, respectively. Based on the results of this analysis, an improved method that reduces such effects on the performance of the spindle is proposed.

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Torsional vibration analysis of lathe spindle system with unbalanced workpiece

Cited by 11 publications

References 13 publications

Three-Dimensional Free Vibration Analysis of Gears with Variable Thickness Using the Chebyshev–Ritz Method

Three-Dimensional Free Vibration Analysis of Gears with Variable Thickness Using the Chebyshev–Ritz Method

Nonlinear Torsional Vibration Dynamics Behaviors of Rolling Mill’s Multi-DOF Main Drive System under Parametric Excitation

Effects of automatic variable preload device on performance of spindle

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