Modeling and elastic deformation compensation of flexural feed drive system

Huang, Hong-Wei; Tsai, Meng-Shiun; Huang, Ying-Che

doi:10.1016/j.ijmachtools.2018.05.002

Cited by 30 publications

(17 citation statements)

References 16 publications

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“…where N � 2 since the beam is divided into 2 sections. Equations (8) and (9) are substituted into equation 21, which is shown in the following equations:…”

Section: Verification Of the Correctness Of The Proposed Methodsmentioning

confidence: 99%

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Bending Vibration Analysis of Tensioned Ball Screw under Nonuniform Stress during the Cutting Process

Zhang

2019

Shock and Vibration

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The bending vibration of tensioned ball screw under nonuniform stress in the cutting process is analyzed in this paper. Differential equation of a beam under nonuniform prestress is derived according to Euler–Bernoulli beam theory. A method to solve the differential equation under different boundary conditions is proposed based on the segmentation method. The correctness of the method is verified by comparison with the traditional method and experiment, respectively. The dynamic analysis of tensioned ball screw under nonuniform stress in the cutting process is carried out with this method. The influence of the location on the ball screw and amplitude of the axial force produced in the cutting process on natural frequencies of ball screw is researched. Results show that the greater the force, the greater the change in natural frequencies. Furthermore, the change of first two natural frequencies presents a simple harmonic trend with the force moving along the ball screw. Taking a set of cutting force data as an example, the instantaneous frequency of tensioned ball screw in the cutting process is calculated in the end.

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“…where N � 2 since the beam is divided into 2 sections. Equations (8) and (9) are substituted into equation 21, which is shown in the following equations:…”

Section: Verification Of the Correctness Of The Proposed Methodsmentioning

confidence: 99%

“…e modeling methods are also used for error compensation. Huang et al [8] and Li et al [9] proposed the dynamic models to derive the elastic deformation of the feed drive system. en, the results were used to offset the position commands that are fed to the servo controller.…”

Section: Introductionmentioning

confidence: 99%

Bending Vibration Analysis of Tensioned Ball Screw under Nonuniform Stress during the Cutting Process

Zhang

2019

Shock and Vibration

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“…31e16K pn T n + 1.44e13K pn a 2 = 7.32e11K pn + 3.75e15T n + 1.42e13K pn T n a 3 = 7.32e11K pn T n + 2.55e8K pn + 6.99e12T n a 4 = 5.94e10T n + 4.08e6K pn + 2.55e8K pn T n a 5 = 8.26e7T n + 618.7K pn + 4.08e6K pn T n a 6 = 2.16e5T n + 5.0K pn + 618.7K pn T n a 7 = 268.53T n + 5.0K pn T n (9) By substituting Eq. (9) into Eq.…”

Section: B: Optimization Calculation Of Speed Loop Control Parameters For the Ball-screw Feed Drive Studied In This Paperunclassified

“…The modeling based on lumped parameter method [8], [9] and formulation of Lagrange equation can effectively reduce the degree of freedom of model and also the order-number of transfer function [10], [11], and is helpful for the qualitative analysis of system and the estimation of vibration frequency. In addition, this modeling is also easy to integrate with servo control model.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Characteristic Optimization of Ball Screw Feed Drive in Machine Tool Based on Modal Extraction of State Space Model

et al. 2019

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The accurate prediction and research about the dynamic characteristic of machine tool during the design process are essential to develop high-performance machines. In order to consider the effect of mechanical modal characteristics on the whole dynamic performance and servo controller of ball screw feed drive fully, the modal characteristics of mechanical transmission are extracted and solved based on reduced state space matrix of ball screw feed system, which is also easy for integration with servo control model. On this basis, the step-by-step optimization method from the global to the local is proposed to optimize the servo controller and overall dynamic performance of ball screw feed drive. This step-by-step optimization method is as follows: first, the global initial optimal tuning of servo controller parameters under the influence of structure modal characteristics is originally realized through the analytic derivation of servo controller based on the extraction of state space modal characteristics. Second, the integrated model of the feed drive system is established. Finally, based on the above global optimization results, the overall dynamic performance, and the servo parameters of the feed drive system under the influence of the modal characteristics are further studied and optimized locally. Taking the ball screw feed drive studied in this paper like the example, its rise time and the settling time of step response are 0.089 and 0.104s before optimization, while these reduce to 0.038 and 0.092s after optimization. Its dynamic response performance after optimization is much better. The optimization result is also validated by the test: the rise time and the settling time by the test are 0.042 and 0.094s, which are close to that from the simulation. Also, the consistency of step response curves from experiment and simulation as well. All these show that: this prediction and optimization method of overall dynamic performance considering the modal characteristic influence of mechanical transmission fully is correct and reliable.INDEX TERMS Ball screw feed drive in machine tool, dynamic characteristic, servo parameters, modal property, state space, step-by-step optimization method from the global to the local.

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“…Another issue is the vibration; vibrations caused by the resonance of the feed drive were discussed and suppressed by using either the simplified model [15] or the complex model [16]. Some other studies have concentrated on the elastic deformation [17,18] and thermal deformation [19] of the ball screw feed systems. Most studies have used lumped-parameters models to analyze the ball screw feed systems.…”

Section: Introductionmentioning

confidence: 99%

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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Modeling and elastic deformation compensation of flexural feed drive system

Cited by 30 publications

References 16 publications

Bending Vibration Analysis of Tensioned Ball Screw under Nonuniform Stress during the Cutting Process

Bending Vibration Analysis of Tensioned Ball Screw under Nonuniform Stress during the Cutting Process

Dynamic Characteristic Optimization of Ball Screw Feed Drive in Machine Tool Based on Modal Extraction of State Space Model

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

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