A position independent geometric errors identification and correction method for five-axis serial machines based on screw theory

Yang, Jixiang; Mayer, Josef; Altintaş, Yusuf

doi:10.1016/j.ijmachtools.2015.04.011

Cited by 107 publications

(41 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…e position and orientation of the machine tool change with the position space of the cutting tip. e geometric error vector P k , O k (k � x, y, z) can be determined according to equation (12), and the mean values of the geometric error are a function of time t:…”

Section: Accuracy Retentivity Modelmentioning

confidence: 99%

“…e geometric errors of the B-axis are nonlinear along the direction of motion, the larger of which is the linear error δ zb that oscillates over a wide range from − 5.5 mm to +20.7 mm, which depends on the radial runout of the worm gear ring. e distribution of the error vector of the machine tool with position and time can be determined according to the geometric error measurements and the kinematic model in equation (12), as shown in Figure 6. e error vectors of the four-axis horizontal boring machine are relative to the position of the motion axes.…”

Section: Geometric Error Measurementmentioning

confidence: 99%

“…is means that for the rotary axis, the verticality of the worm wheel and the squareness between the X-axis and Y-axis are the parameters that cause serious fluctuations in geometric accuracy retentivity. e algebraic values of each geometric error at the measuring time t are substituted into equations (12) and (22), and the accuracy retentivity of each error vector of the machine tool can be determined over the corresponding measurement time, as shown in Table 4. According to Table 4, the geometric accuracy retentivity declines with the longer running time of the machine tool because the geometric accuracies are degraded by wear.…”

Section: Complexitymentioning

confidence: 99%

“…Geometric error modelling is a key part of error compensation technology and also for the basis for decoupling identification [5,6]. Many beneficial explorations and studies on high-quality modelling have been conducted by researchers, and some effective methods have been proposed and applied to modelling, such as the product of exponentials [7,8], homogeneous transformation matrices (HTMs) method based on multibody system theory [9], differential transformation method [10,11], screw theory method [6,12,13], and parametric polynomial method [14]. Fu et al [15] established the rotation twist and rotation product of exponential formulas of rotary axes with a clear geometric meaning of twists to describe their positions and motions, and the corresponding POE formulas of squareness errors were established by analysing their geometric definition.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

A Recognition Methodology for the Key Geometric Errors of a Multi‐Axis Machine Tool Based on Accuracy Retentivity Analysis

2019

View full text Add to dashboard Cite

This paper proposes a recognition methodology for key geometric errors using the feature extraction method and accuracy retentivity analysis and presents the approach of optimization compensation of the geometric error of a multiaxis machine tool. The universal kinematics relations of the multiaxis machine tool are first modelled mathematically based on screw theory. Then, the retentivity of geometric accuracy with respect to the geometric error is defined based on the mapping between the constitutive geometric errors and the time domain. The results show that the variation in the spatial error vector is nonlinear while considering the operation time of the machine tool and the position of the motion axes. Based on this aspect, key factors are extracted that simultaneously consider the correlation, similarity, and sensitivity of the geometric error terms, and the results reveal that the effect of the position-independent geometric errors (PIGEs) on the error vectors of the position and orientation is greater than that of the position-dependent geometric errors (PDGEs) of the linear and rotary axes. Then, the fruit fly optimization algorithm (FOA) is adopted to determine the compensation values through multiobjective tradeoffs between accuracy retentivity and fluctuation in the geometric errors. Finally, an experiment on a four-axis horizontal boring machine tool is used to validate the effectiveness of the proposed approach. The experimental results show that the variations in the precision of each test piece are lower than 25.0%, and the maximum variance in the detection indexes between the finished test pieces is 0.002 mm when the optimized parameters are used for error compensation. This method not only recognizes the key geometric errors but also compensates for the geometric error of the machine tool based on the accuracy retentivity analysis results. The results show that the proposed methodology can effectively enhance the machining accuracy.

show abstract

Section: Accuracy Retentivity Modelmentioning

confidence: 99%

Section: Geometric Error Measurementmentioning

confidence: 99%

Section: Complexitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A Recognition Methodology for the Key Geometric Errors of a Multi‐Axis Machine Tool Based on Accuracy Retentivity Analysis

2019

View full text Add to dashboard Cite

show abstract

“…Liu et al [13] proposed fuzzy optimal control design for classic nonlinear discrete-time systems with backlash. Based on the screw theory, Yang et al [14] proposed a new model to describe the rigid body motion of the machine drives; and the position-independent geometric errors were identified through double ball bar (DBB) tests. Fu et al [15] established an exponent product model for multiaxis machine tools; and the experiments have been conducted to verify the model.…”

Section: Introductionmentioning

confidence: 99%

Global Quantitative Sensitivity Analysis and Compensation of Geometric Errors of CNC Machine Tool

Guo

Zhang

2016

Mathematical Problems in Engineering

View full text Add to dashboard Cite

A quantitative analysis to identify the key geometric error elements and their coupling is the prerequisite and foundation for improving the precision of machine tools. The purpose of this paper is to identify key geometric error elements and compensate for geometric errors accordingly. The geometric error model of three-axis machine tool is built on the basis of multibody system theory; and the quantitative global sensitivity analysis (GSA) model of geometric error elements is constructed by using extended Fourier amplitude sensitivity test method. The crucial geometric errors are identified; and stochastic characteristics of geometric errors are taken into consideration in the formulation of building up the compensation strategy. The validity of geometric error compensation based on sensitivity analysis is verified on a high-precision three-axis machine tool with open CNC system. The experimental results show that the average compensation rates along theX,Y, andZdirections are 59.8%, 65.5%, and 73.5%, respectively. The methods of sensitivity analysis and geometric errors compensation presented in this paper are suitable for identifying the key geometric errors and improving the precision of CNC machine tools effectively.

show abstract

Geometric Accuracy Innovative Design Method for Machine Tool

Wang,

He,

Zhang

et al. 2023

Mechanisms and Machine Science

View full text Add to dashboard Cite

A position independent geometric errors identification and correction method for five-axis serial machines based on screw theory

Cited by 107 publications

References 31 publications

A Recognition Methodology for the Key Geometric Errors of a Multi‐Axis Machine Tool Based on Accuracy Retentivity Analysis

A Recognition Methodology for the Key Geometric Errors of a Multi‐Axis Machine Tool Based on Accuracy Retentivity Analysis

Global Quantitative Sensitivity Analysis and Compensation of Geometric Errors of CNC Machine Tool

Geometric Accuracy Innovative Design Method for Machine Tool

Contact Info

Product

Resources

About