Investigation on coupled vibration of machine tool table system with position deviations

Liu, Chang; Zhao, Chunyu; Wen, Bangchun

doi:10.1007/s00170-021-06874-1

Cited by 11 publications

(3 citation statements)

References 30 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Based on the dynamics model of the linear guideway, Wang et al [30] proposed a three degree-of-freedom dynamic model of the machine tool bearing system to analyze its vibration behaviors, and proposed a method to suppress vibration during the machining process. Liu et al [31] established a five degree-of-freedom dynamic model of the machine tool bearing system with assembly errors, and analyzed the coupling vibration and the effect of assembly errors on the vibration behaviors. During the working process, the wear and vibration of the linear guideway interact with each other [32,33].…”

Section: Introductionmentioning

confidence: 99%

Research on nonlinear static and dynamic characteristics of linear guideway in machine tools considering carriage flexibility

Liu,

Zhao,

2024

Nonlinear Dyn

Self Cite

View full text Add to dashboard Cite

This paper establishes a five degree-of-freedom nonlinear dynamic model of the linear guideway considering the carriage flexibility, which is used to analyze the ball-groove load distribution and nonlinear dynamic characteristics under the action of the complex external loads. Firstly, according to the coordinate transformation matrix, the position relation between the groove centers when the carriage is a rigid body is determined. Next, the FE simulation is used to calculate the carriage flexible deformation caused by the contact loads, and the relation curves between the contact load and the displacement of the carriage groove center are determined. Then, the final position of the groove centers considering the carriage flexibility is determined, a 5 degree-offreedom nonlinear dynamic model of the linear guideway is established. Finally, considering the possibility of the ball-groove losing contact, the Newmark-Newton numerical algorithm is established to solve the proposed dynamic model, and the proposed model is validated through experiments. Furthermore, the nonlinear static and dynamic characteristics of the linear guideway under the effect of the carriage flexibility are studied, and the effects of the design parameters on the vibration characteristics are discussed.

show abstract

Section: Introductionmentioning

confidence: 99%

Research on nonlinear static and dynamic characteristics of linear guideway in machine tools considering carriage flexibility

Liu,

Zhao,

2024

Nonlinear Dyn

Self Cite

View full text Add to dashboard Cite

show abstract

“…Wang et al [32] studied the coupling vibration characteristics of the feed system considering the contact nonlinearity of kinematic joints. Liu et al [33] developed a five degree-of-freedom dynamic model of a worktable system considering the displacement coupling and assembly errors. To suppress the worktable vibration of the machine tool, Varanasi et al [34] developed a dynamic model of a ball screw considering the distributed inertia of the screw shaft to effectively control the structural vibration.…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2021

Self Cite

View full text Add to dashboard Cite

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.

show abstract

“…Besides, the modeling and analysis of geometric error of mechanical systems had been reported by researchers. Liu et al [22] using homogeneous coordinate transformation to model the position deviation of machine tool table system, and the dynamic response of the system was obtained by the integration of Newmark and Monte Carlo method. Paweł [23] proposed a new method to model the geometric deviations of machine tool table, and the influence of the geometric errors on joint kinematic errors was discussed.…”

mentioning

confidence: 99%

Modeling and analyzing of nonlinear dynamics for linear guide slide platform considering assembly error

Liu

Zhang

et al. 2022

Nonlinear Dyn

View full text Add to dashboard Cite

In this study, a novel five degrees-of-freedom nonlinear dynamic model of linear guide slide platform is proposed, the model considers the effect of assembly error. The assembly errors are modeled as five types including: straightness assembly errors along x and y axes and rotation assembly error around x, y and z axes. The assembly error induced displacement of platform is considered. The restoring force and moment of the carriages is equal to zero when no dynamic or static load applied on the platform with considering the influence of assembly error. The influence of assembly error on the static and dynamic characteristics are investigated. The results indicate that the assembly error can cause uneven load distribution, change the dynamics of the system. In addition, the stability of the system cannot be improved by simply increasing the preload. Moreover, a series of experiments are conducted on a specialized platform to estimate the parameters of the system and verify the proposed model.

show abstract

Investigation on coupled vibration of machine tool table system with position deviations

Cited by 11 publications

References 30 publications

Research on nonlinear static and dynamic characteristics of linear guideway in machine tools considering carriage flexibility

Research on nonlinear static and dynamic characteristics of linear guideway in machine tools considering carriage flexibility

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

Modeling and analyzing of nonlinear dynamics for linear guide slide platform considering assembly error

Contact Info

Product

Resources

About