Dynamic Modeling and Experiment Research on Twin Ball Screw Feed System Considering the Joint Stiffness

Duan, Meng; Lü, Hong; Zhang, Xinbao; Zhang, Yongquan; Li, Zhangjie; Liu, Qi

doi:10.3390/sym10120686

Cited by 22 publications

(23 citation statements)

References 26 publications

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“…In the ANSYS environment, the FE analysis of the full DoF TBS feed system was carried out by referring to the joint stiffness in reference [35]. According to the real material of the parts, the material parameters are shown in Table 1.…”

Section: Fe Analysis Methodsmentioning

confidence: 99%

Dynamic modeling and experimental research on position-dependent behavior of twin ball screw feed system

Duan

Lü

Zhang

et al. 2021

Int J Adv Manuf Technol

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To establish the dynamic model of machine tool structure is an important means to assess the performance of the machine tool structure during the cutting process. It's necessary to study the dynamics of the machine tools in different configurations for the sake of analyzing the dynamic behavior of the machine tools in the entire workspace. In this paper, a robust approach is presented to build an efficient and reliable dynamic model to evaluate the position-dependent dynamics of the twin ball screw (TBS) feed system. First, the TBS feed system is divided into several components and a finite element (FE) model is built for each component. Second, the Craig-Bampton method is proposed to reduce the order of the substructures.Third, a multipoint constraints (MPCs) method was introduced to model the mechanical joints substructures of the TBS system, and the spring-damper element (SDE) is employed to connect the condensation nodes. Finally, a series experimental tests and full order FE analysis are conducted on the self-designed TBS worktable in the four positions to validate the effectiveness of the proposed dynamic model. The results show that the proposed approach evaluates accurately the position-dependent behavior of the TBS system.

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Section: Fe Analysis Methodsmentioning

confidence: 99%

Dynamic modeling and experimental research on position-dependent behavior of twin ball screw feed system

Duan

Lü

Zhang

et al. 2021

Int J Adv Manuf Technol

Self Cite

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“…where L χ denotes the distance between the nut and the two fixed ends, χ =0 or 1. Then the feed system natural frequency is expressed as [24]:…”

Section: Methodsmentioning

confidence: 99%

Analysis on Dynamic Contact Characteristics and Dynamic Stiffness Estimating Method of Single Nut Ball Screw Pair Based on the Whole Rolling Elements Model

Chen

Zhao

et al. 2020

Applied Sciences

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The purpose of this paper is investigating the characteristics of dynamic contact and dynamic stiffness of the single nut ball screw pair (SNBSP). Then a new sensorless method is proposed to extract the SNBSP dynamic contact stiffness of a mass production CNC machine tool feed system. First of all, the transformation relationship between each coordinate system of SNBSP is established. Secondly, the dynamic model of all ball–raceway contact pairs is established. Based on this, a dynamic contact stiffness model is established. The dynamic contact parameters are obtained by the numerical method. It is found that the influence of screw speed on screw and nut raceway normal force distribution are opposite. This will affect the variations of dynamic contact stiffness. It is also clear that the effect of axial load on dynamic stiffness is significant. Then, an effective method is proposed to estimate the dynamic contact stiffness of a mass production CNC machine tool feed system without any external sensors. The axial force of feed system is estimated by using torque current of servo motor. Current signals can be obtained through FANUC Open CNC API Specifications (FOCAS) library functions, and then dynamic contact stiffness can be calculated through the stiffness model without external sensors. Finally, a feed system dynamic model is built, and the contact model and sensorless stiffness estimating method are verified by experiments in this dynamic system.

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“…In the above equation, K tc is torsional stiffness of coupling, K ts is the torsional stiffness of the lead screw, K as is the axial stiffness of the lead screw, K an is the axial stiffness of the nut, K ab1 and K ab2 are the axial stiffness support bearing. The formulas for calculating the above stiffness parameters can be found in previous studies [10,27]:…”

Section: Modeling and Analysis Of The Mechanical Subsystemmentioning

confidence: 99%

“…where F x is the axis component of cutting force. According to Stribeck model [10], the friction force F f can be calculated as follows:…”

Section: Modeling and Analysis Of The Mechanical Subsystemmentioning

confidence: 99%

“…These factors have attracted much attention and extensive research, and numerous papers have been published. Various friction models were researched in [7][8][9][10][11], such as stick-slip, static friction, Stribeck effects, and so on. Three kinds of backlash models, which are the hysteresis model [12], dead zone model [13] and vibration-impact model [14], can be found in previous studies.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Hybrid Multi-Domain Analytical and Data-Driven Modeling for Feed Systems in Machine Tools

et al. 2019

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Position error-compensation control in the servo system of computerized numerical control (CNC) machine tools relies on accurate prediction of dynamic tracking errors of the machine tool feed system. In this paper, in order to accurately predict dynamic tracking errors, a hybrid modeling method is proposed and a dynamic model of the ball screw feed system is developed. Firstly, according to the law of conservation of energy, a complete multi-domain system analytical model of a ball screw feed system was established based on energy flow. In order to overcome the uncertainties of the analytical model, then the data-driven model based on the back propagation (BP) neural network was established and trained using experimental data. Finally, the data-driven model was coupled with the multi-domain analytical model and the hybrid model was developed. The model was verified by experiment at different velocities and the results show that the prediction accuracy of the hybrid model reaches high levels. The hybrid modeling method combines the advantages of analytical modeling and data-driven modeling methods, and can significantly improve the feed system’s modeling accuracy. The research results of this paper are of great significance to improve the compensation control accuracy of CNC machine tools.

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Dynamic Modeling and Experiment Research on Twin Ball Screw Feed System Considering the Joint Stiffness

Cited by 22 publications

References 26 publications

Dynamic modeling and experimental research on position-dependent behavior of twin ball screw feed system

Dynamic modeling and experimental research on position-dependent behavior of twin ball screw feed system

Analysis on Dynamic Contact Characteristics and Dynamic Stiffness Estimating Method of Single Nut Ball Screw Pair Based on the Whole Rolling Elements Model

Hybrid Multi-Domain Analytical and Data-Driven Modeling for Feed Systems in Machine Tools

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