Analysis of friction error in CNC machine tools based on electromechanical characteristics

Abstract

Friction is a kind of inherent and nonlinear disturbance in feed systems, which inevitably deteriorates motion accuracy at velocity reversal. Position error caused by friction is integrally effected by three aspects of feed drives, including command, control, and mechanical subsystems. Unfortunately, the traditional analyses hardly consider all mentioned aspects. Especially, no research has been reported on control characteristic at reverse motion. The purpose of this paper is to reveal the generation mechanism of friction error of a feed drive based on the commercial computer numerical control with three-loop control structure and velocity feedforward and proportional–proportional–integral controllers. Firstly, the generation process of the friction error at velocity reversal is profoundly investigated. Based on it, a simplified control model is conducted to explain transition from presliding to sliding regimes. It is the bond of analyzing friction error from command, control, and mechanical subsystems. Subsequently, the processes of presliding, acceleration, and adjustment stages are analyzed. Moreover, analytical formulas are derived to predict the durations of three stages and describe the shape of friction error. Then, the contour errors of linear and circular motion caused by friction can be predicted online. Experiments are introduced to verify the effectiveness of the proposed methods and formulations.

Keywords

Friction error contour error velocity reversal control model feed system

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References

Tomizuka

Tsao

et al.

Adaptive zero phase error tracking algorithm for digital control. J Dyn Syst Meas Control 1987; 109: 349–354.

Altintas

Erkorkmaz

Zhu

et al.

Sliding mode controller design for high speed feed drives. CIRP Ann-Manuf Technol 2000; 49: 265–270.

Feng

Zhang

Mei

et al.

Investigation of the controller parameter optimisation for a servomechanism. Proc IMechE, Part B: J Engineering Manufacture 2015; 229: 98–110.

Koren

. Cross-coupled biaxial computer control for manufacturing systems. J Dyn Syst Meas Control 1980; 102: 265–272.

Tomizuka

Chiu

GTC

. Contouring control of machine tool feed drive systems: a task coordinate frame approach. IEEE Trans Control Syst Technol 2001; 9: 130–139.

De Wit

Olsson

Astrom

et al.

A new model for control of systems with friction. IEEE Trans Autom Control 1995; 40: 419–425.

Erkorkmaz

Altintas

. High speed CNC system design. Part II: modeling and identification of feed drives. Int J Mach Tools Manuf 2001; 41: 1487–1509.

Chen

Yang

et al.

An analytical C3 continuous local corner smoothing algorithm for four-axis computer numerical control machine tools. J Manuf Sci Eng 2018; 140: 051004.

Yang

Yuen

. An analytical local corner smoothing algorithm for five-axis CNC machining. Int J Mach Tools Manuf 2017; 123: 22–35.

10.

SIEMENS A G. SINUMERIK 840D/840Di/810D fundamentals programming guide. Germany: SIEMENS AG, 2004, pp.234–241.

11.

Armstrong-Helouvry

. Stick slip and control in low-speed motion. IEEE Trans Autom Control 1993; 38: 1483–1496.

12.

Hess

Soom

. Friction at a lubricated line contact operating at oscillating sliding velocities. J Tribol 1990; 112: 147–152.

13.

Ruderman

. On break-away forces in actuated motion systems with nonlinear friction. Mechatronics 2017; 44: 1–5.

14.

Dahl PR. Solid friction damping of spacecraft oscillations. Aerospace Corp El Segundo Calif Guidance and Control Div, 1975.

15.

Barahanov

Ortega

. Necessary and sufficient conditions for passivity of the LuGre friction model. IEEE Trans Autom Control 2000; 45: 830–832.

16.

Piatkowski

. GMS friction model approximation. Mech Mach Theory 2014; 75: 1–11.

17.

Mei

Tsutsumi

Yamazaki

et al.

Study of the friction error for a high-speed high precision table. Int J Mach Tools Manuf 2001; 41: 1405–1415.

18.

Mei

Tsutsumi

Tao

et al.

Study on the compensation of error by stick-slip for high-precision table. Int J Mach Tools Manuf 2004; 44: 503–510.

19.

Park

Lim

Choi

. Position control of XY table at velocity reversal using presliding friction characteristics. IEEE Trans Control Syst Technol 2003; 11: 24–31.

20.

Poo

Hong

. Tracking error-based static friction compensation for a bi-axial CNC machine. Precis Eng 2010; 34: 480–488.

21.

Chen

Mei

Tao

. Friction compensation using a double pulse method for a high-speed high-precision table. Proc IMechE, Part C: J Mechanical Engineering Science 2011; 225: 1263–1272.

22.

Yang

Ding

. A two-stage friction model and its application in tracking error pre-compensation of CNC machine tools. Precis Eng 2018; 51: 426–436.

23.

Altintas

Verl

Brecher

et al.

Machine tool feed drives. CIRP Ann-Manuf Technol 2011; 60: 779–796.

24.

Yang

Aslan

Altintas

. A feedrate scheduling algorithm to constrain tool tip position and tool orientation errors of five-axis CNC machining under cutting load disturbances. CIRP J Manuf Sci Technol 2018; 23: 78–90.