An accuracy design approach for a multi-axis NC machine tool based on reliability theory

Zhang, Ziling; Liu, Zhifeng; Cai, Ligang; Cheng, Qiang; Yin, Qin

doi:10.1007/s00170-016-9824-5

Cited by 25 publications

(6 citation statements)

References 21 publications

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“…Over the past decades, many researchers have done a great quantity of researches on the mechanism of generation and transmission of geometric errors of numerical control (NC) machine tools and made important contributions to the modeling and compensation of geometric errors. The homogeneous transformation matrix (HTM) [7][8][9][10] based on the theory of rigid multibody kinematics [11][12][13] is used to establish the error transmission between cutter location and tool orientation. Multi-body system theory 14 based on the mathematical algorithm of the HTM broadens its application scenarios and convenience.…”

Section: Introductionmentioning

confidence: 99%

Interaction analysis of geometric tolerance of multi-axis machine tools based on kinematic Jacobian-Torsor model

Chen

Liu

Tian

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part B:

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For the purpose that the multi-axis machine tools can machine workpieces flexibly and accurately, it is important to ensure that each axis of the machine tool can be linked with each other, and the geometric tolerances are within their required range. However, each tolerance is not only related to its own kinematic axis, but also affected by the comprehensive influence of other kinematic axes, which brings great difficulties to the modeling of geometric tolerances. This paper focus on developing a modeling methodology to describe the relationship between the range of machining geometric tolerance and the motional domain of machine tool axe based on an improved Jacobian-Torsor theory. General formulas for the expression of the geometric tolerances are derived. Experiments are carried out on five four-axis machine tools, type CNC-SH50, to verify the effectiveness of the proposed kinematic Jacobian-Torsor model in dealing with the interaction analysis of geometric tolerances.

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Section: Introductionmentioning

confidence: 99%

Interaction analysis of geometric tolerance of multi-axis machine tools based on kinematic Jacobian-Torsor model

Chen

Liu

Tian

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part B:

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show abstract

“…There are many important methods of reliability and sensitivity analysis such as differential analysis, response surface methodology, Monte Carlo analysis, and variance decomposition procedures [1]. Zhang et al [21] established the geometric error cost model and geometric error reliability model based on the traditional cost model and reliability analysis model, considering the principle of the weighting function. Then, an error allocation method is proposed to optimize the total cost and the reliability.…”

Section: Introductionmentioning

confidence: 99%

Enhancing machining accuracy reliability of multi-axis CNC Indexed by: machine tools using an advanced importance sampling method

Wang¹,

Yuan²

2021

Eksploatacja i Niezawodność – Maintenance and Reliability

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The purpose of this paper is to propose a general precision allocation method to improve machining performance of CNC machine tools based on certain design requirements. A comprehensive error model of machine tools is established by using the differential motion relation of coordinate frames. Based on the comprehensive error model, a reliability model is established by updating the primary reliability with an advanced importance sampling method, which is used to predict the machining accuracy reliability of machine tools. Besides, to identify and optimize geometric error parameters which have a great influence on machining accuracy reliability of machine tools, the sensitivity analysis of machining accuracy is carried out by improved first-order second-moment method. Taking a large CNC gantry guide rail grinder as an example, the optimization results show that the method is effective and can realize reliability optimization of machining accuracy.

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“…Machining accuracy reliability of CNC machine tools refers to the ability of machine tools to perform a machining accuracy requirement under particular circumstances for a given specific time interval [1]. It is a crucial reliability index in evaluating the machining performance of CNC machine tools, which significantly impacted by force errors, thermal errors, and particularly geometric errors [2,3].…”

mentioning

confidence: 99%

“…In the field of machining accuracy reliability analysis for machine tools, several methods including the importance sampling (IS) method, first-order second-moment (FOSM) method, advanced first-order second-moment (AFOSM) method, response surface (RS) method and Monte Carlo simulation (MCS) method [9,[16][17][18][19][20] are commonly used. Among these methods, the RS method [21][22][23] is widely employed due to its ability to effectively approximate limit state function (LSF) and its simplicity in calculation.…”

mentioning

confidence: 99%

Machining accuracy reliability optimization of three-axis CNC machine tools using doubly-weighted vector projection response surface method

Wang,

2024

Int J Adv Manuf Technol

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The reasonable allocation of geometric errors of NC machine tools can improve the machining accuracy reliability. However, due to the complexity and high nonlinearity of limit state function (LSF) of machining accuracy reliability, the fitting accuracy is usually low when the traditional method is used to approximate LSF. To solve this problem, a doubly-weighted vector projection response surface (DWVPRS) method, which considers not only the approximation results of the test sample point to LSF but the distance between the test sample point and the most probable failure point (MPFP), is proposed. Using the reliability sensitivity analysis method, the key geometric errors were identified and optimized to meet the design requirements. Finally, taking a large gantry guideway grinding machine as an example to verifies the correctness and effectiveness of the DWVPRS method proposed in this paper, the results show that after the optimization of geometric accuracy, the minimum and average reliability value of the grinding machine meet the design requirements. KeywordsDoubly-weighted vector projection response surface method  Machining accuracy reliability  Sensitivity analysis  Geometric error  Accuracy optimization List of symbols δxx Working table linear error in X-direction δyx Working table linear error in Y-direction δzx Working table linear error in Z-direction δxy Vertical slide linear error in X-direction δyy Vertical slide linear error in Y-direction δzy Vertical slide linear error in Z-direction δxz Movable beam linear error in X-direction δyz Movable beam linear error in Y-direction δzz Movable beam linear error in Z-direction

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An accuracy design approach for a multi-axis NC machine tool based on reliability theory

Cited by 25 publications

References 21 publications

Interaction analysis of geometric tolerance of multi-axis machine tools based on kinematic Jacobian-Torsor model

Interaction analysis of geometric tolerance of multi-axis machine tools based on kinematic Jacobian-Torsor model

Enhancing machining accuracy reliability of multi-axis CNC Indexed by: machine tools using an advanced importance sampling method

Machining accuracy reliability optimization of three-axis CNC machine tools using doubly-weighted vector projection response surface method

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