Effect of the screw–nut joint stiffness on the position-dependent dynamics of a vertical ball screw feed system without counterweight

Zou, Cunfan; Zhang, Huijie; Lu, Dun; Zhang, Jun; Zhao, Wanhua

doi:10.1177/0954406217722378

Cited by 28 publications

(20 citation statements)

References 26 publications

(23 reference statements)

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“…The transmission stiffness in the transmission direction consists of the axial stiffness of both the upper and lower sections of the screw shaft and the equivalent axial stiffness of the screw-nut joints and bearing joints, as shown in Figure 2. Therefore, the transmission stiffness under upward acceleration in the transmission direction can be calculated as Similarly, the transmission stiffness under upward deceleration in the transmission direction can be calculated as (28)…”

Section: Calculation Of Transmission Stiffnessmentioning

confidence: 99%

“…Optimal design modifications, structural dynamics simulations, and stability assessments were simultaneously carried out. On this basis, Zou et al [28] discussed the influence of the screw-nut joint stiffness on the position-dependent dynamics of a vertical ball screw feed system without counterweight and found that the spindle system counterweight should be considered when estimating the dynamics of a vertical ball screw feed system without counterweight. Therefore, in this study, the dynamics of a vertical ball screw feed system without counterweight under acceleration and deceleration are investigated considering the spindle system weight.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Acceleration-Dependent Analysis of Vertical Ball Screw Feed System without Counterweight

Zou

Zhang

et al. 2021

Chin. J. Mech. Eng.

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The distinguishing feature of a vertical ball screw feed system without counterweight is that the spindle system weight directly acts on the kinematic joints. Research into the dynamic characteristics under acceleration and deceleration is an important step in improving the structural performance of vertical milling machines. The magnitude and direction of the inertial force change significantly when the spindle system accelerates and decelerates. Therefore, the kinematic joint contact stiffness changes under the action of the inertial force and the spindle system weight. Thus, the system transmission stiffness also varies and affects the dynamics. In this study, a variable-coefficient lumped parameter dynamic model that considers the changes in the spindle system weight and the magnitude and direction of the inertial force is established for a ball screw feed system without counterweight. In addition, a calculation method for the system stiffness is provided. Experiments on a vertical ball screw feed system under acceleration and deceleration with different accelerations are also performed to verify the proposed dynamic model. Finally, the influence of the spindle system position, the rated dynamic load of the screw-nut joint, and the screw tension force on the natural frequency of the vertical ball screw feed system under acceleration and deceleration are studied. The results show that the vertical ball screw feed system has obviously different variable dynamics under acceleration and deceleration. The influence of the rated dynamic load and the spindle system position on the natural frequency under acceleration and deceleration is much greater than that of the screw tension force.

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Section: Calculation Of Transmission Stiffnessmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Acceleration-Dependent Analysis of Vertical Ball Screw Feed System without Counterweight

Zou

Zhang

et al. 2021

Chin. J. Mech. Eng.

Self Cite

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“…The ball screw is a transmission device that converts linear motion into rotary motion or rotary motion into linear motion, and it has the advantages of high position accuracy, load capacity and fatigue life [1][2][3]. The dynamic characteristic of the feed system is the key factor to determine the machining accuracy of the workpiece and stability of the cutting process [4,5], and the nonlinear contact relationship between balls and raceways leads to the complexity and instability of the worktable vibration [6,7]. Therefore, the establishment of a dynamic model of the feed system is of great significance to improve the machining accuracy and stability.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Analysis of Ball Screw Feed System with the Effects of Excitation Amplitude and Design Parameters

et al. 2021

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In this paper, a nine degree-of-freedom dynamic model of the ball screw feed system considering the contact nonlinearity between balls and raceways is established to analyze the vibration characteristics. The position relationship between raceway centers for the ball screw and bearings is determined by using the homogeneous coordinate transformation, and then the restoring force functions along the axial and lateral directions are derived. The dynamic equations of the feed system are solved by using Newmark method, and the proposed model is verified by the experimental method. Furthermore, the effect of the excitation amplitude on the axial vibration of the feed system is investigated by the frequency-amplitude curve and 3-D frequency spectrum. With the increase of excitation amplitude, the dynamic response of the feed system exits the softening, hardening type nonlinearity and jump phenomenon. Additionally, the effects of the initial contact angle, length of screw shaft and number of loaded balls on the axial vibration of the feed system in the resonance region are discussed. The results show that the dynamic model established in this paper is suitable for improving the machining accuracy and stability of the ball screw feed system.

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“…Zou et al studied the influence of screw-nut stiffness on the vibration characteristics of the spindle system in the transmission direction. Based on the equivalent dynamic equation and the D'Alembert's principle, the varying-coefficients model of feed system was established, but the influence of coupling characteristics was neglected [7]. Vicente et al established a mathematical model, which is coupled with torsional and axial system by using Ritz series method, to analyze the influence of lead and workbench position [8].…”

Section: Introductionmentioning

confidence: 99%

Quantitative analysis for effects of structural stiffness on vibration characteristics of machine tool feed system

Liu¹

2020

J. vibroeng.

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The vibration of the feed system remains a long-standing challenge in a machine. Toward this objective, the effects of bearing stiffness, nut rigidity, coupling stiffness, screw length, screw speed and radial stiffness of worktable on the torsional vibration and axial vibration of the table are explored. In this paper, a mathematical model of multi-degree-of-freedom coupling torsional and axial vibration considering various factors is established by the second Lagrange equation, and simulation analysis and experimental verification are carried out. The effects of the variable lead and variable torsional stiffness of the nut on the torsional vibration of the workbench are analyzed. Results show that nut stiffness is the main factor affecting the vibration of the workbench. As the workbench mass, motor speed, screw length and lead increase, the axial vibration of the workbench increases. In the case of lead change, as the axial stiffness of the nut increases, the effect on the torsional vibration of the workbench is reduced. Under the variable torsional stiffness of the nut, with the increase of the lead, the influence of the lead on the torsional vibration of the workbench will increase. The experimental results provide a reference for further research and provide a theoretical basis for vibration reduction and structural optimization.

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Effect of the screw–nut joint stiffness on the position-dependent dynamics of a vertical ball screw feed system without counterweight

Cited by 28 publications

References 26 publications

Acceleration-Dependent Analysis of Vertical Ball Screw Feed System without Counterweight

Acceleration-Dependent Analysis of Vertical Ball Screw Feed System without Counterweight

Dynamic Analysis of Ball Screw Feed System with the Effects of Excitation Amplitude and Design Parameters

Quantitative analysis for effects of structural stiffness on vibration characteristics of machine tool feed system

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