Modeling the errors of multi-axis machines: a general methodology

Soons, Johannes A.; Theuws, F.C.; Schellekens, Phj Piet

doi:10.1016/0141-6359(92)90137-l

Cited by 117 publications

(48 citation statements)

References 11 publications

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“…scribed just as an arbitrary classical body in terms of the geometric structure, and the machine tool can be treated as a MBS [17,25]. As shown in Fig.…”

Section: Range In X-direction 1000mmmentioning

confidence: 99%

A method to analyze the machining accuracy reliability sensitivity of machine tools based on Fast Markov Chain simulation

Cheng¹,

Sun²,

Zhao³

et al. 2016

EiN

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“…scribed just as an arbitrary classical body in terms of the geometric structure, and the machine tool can be treated as a MBS [17,25]. As shown in Fig.…”

Section: Range In X-direction 1000mmmentioning

confidence: 99%

A method to analyze the machining accuracy reliability sensitivity of machine tools based on Fast Markov Chain simulation

Cheng¹,

Sun²,

Zhao³

et al. 2016

EiN

View full text Add to dashboard Cite

show abstract

“…The kinematic model of machine tools under the rigidbody assumption has been long studied [3,[19][20][21][22][23][24]. The objective of the kinematic model is to calculate the position and orientation of the tool in the workpiece coordinate system as the superposition of error motions of each axis.…”

Section: Kinematic Model Of Three Nominal Orthogonal Linear Axesmentioning

confidence: 99%

Indirect Measurement of Volumetric Accuracy for Three-Axis and Five-Axis Machine Tools: A Review

Ibaraki¹,

Knapp²

2012

Int. J. Automation Technol.

226

100

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The volumetric accuracy of machine tools is represented by a map of position and orientation error vectors of the tool over the volume concerned. Numerical compensation for volumetric error is possible in many latest commercial CNCs for machine tools. This paper reviews indirect measurement schemes for machine tool kinematics, in which the tool center position is measured as the superposition of error motions of linear or rotary axes. Each error motion can be separately identified by best-fitting a set of measured tool center positions to the kinematic model of machine tools. Indirect measurement schemes for the kinematics of three orthogonal linear axes, as well as the fiveaxis kinematics with two rotary axes, will be reviewed.

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“…Most modeling methods are based on multi-body system [1], different kinds of geometric errors can be modeled as matrices and are easy to analysis. In 1992, Soons et al using the modeling method based on rigid body hypothesis established the comprehensive model including the rotation axes [2]. Kiridena et al established the quasi static errors' model of the multi-axis machine tool based on the homogeneous coordinate transformation matrices [3].…”

Section: Introductionmentioning

confidence: 99%

A New Decoupling Measurement Method of Five-axis Machine Tools’ Geometric Errors Based on Cross Grid Encoder and DBB

Wang¹,

Li²

2017

dtetr

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Abstract.In order to obtain all the geometric errors of five-axis CNC machine tool, a measuring strategy with cross grid encoder and double ball-bar (DBB) is proposed. According to the theory of multi-body systems, by using the homogeneous coordinate transformation method the model of geometric errors is established. The cross grid encoder is used to detect the translation geometric errors and the DBB is used to measure the rotation ones. Based on the kinematic chain and the properties of geometric errors, the translation geometric errors are measured before the rotation ones. For each axis, both PIGEs (position-independent errors) and PDGEs (position-dependent errors) are under consideration. Then a complete compensated model can be established.

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Modeling the errors of multi-axis machines: a general methodology

Cited by 117 publications

References 11 publications

A method to analyze the machining accuracy reliability sensitivity of machine tools based on Fast Markov Chain simulation

A method to analyze the machining accuracy reliability sensitivity of machine tools based on Fast Markov Chain simulation

Indirect Measurement of Volumetric Accuracy for Three-Axis and Five-Axis Machine Tools: A Review

A New Decoupling Measurement Method of Five-axis Machine Tools’ Geometric Errors Based on Cross Grid Encoder and DBB

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