Fluctuation prediction of machining accuracy for multi-axis machine tool based on stochastic process theory

Cheng, Qiang; Feng, Qiunan; Liu, Zhifeng; Gu, Peihua; Cai, Ligang

doi:10.1177/0954406214562633

Cited by 15 publications

(9 citation statements)

References 29 publications

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“…33 Until now, a few researchers showed interest in making uncertainty analyses of errors. Cheng et al 1,34 took the stochastic characteristic of geometric errors into consideration and used the Sobol' global sensitivity analysis method to identify key geometric errors of machine tool, which is helpful to improve the machining accuracy of multi-axis machine tool. Ahn 35 studied the stochastic nature of the volumetric error of a machine tool and the importance of modeling the stochastic errors.…”

Section: Accuracy Modeling Of the Machine Toolmentioning

confidence: 99%

Robust geometric accuracy allocation of machine tools to minimize manufacturing costs and quality loss

Cheng

Zhao

Liu

et al. 2016

Proceedings of the Institution of Mechanical Engineers, Part C:

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With increasing demands of machining accuracy, designing of machine tools for satisfactory performance using costeffective geometric accuracy configurations is becoming a complex problem to the machine tool manufacturers. In this paper, a novel robust accuracy allocation method is proposed for multi-axis machine tools based on multi-objective quality and cost trade-offs. To model the volumetric accuracy of machine tool based on geometric errors, the multi-body system theory was introduced. A manufacturing cost model for the machine tool components with a significant effect on geometric errors was established based on the machining features. The quality loss of the machine tool was also integrated into a single optimization objective. After identifying the relationship between the accuracy grade parameters of the feeding components and the geometric errors, the maximum in the Euclidean norm of all the accuracy parameters was defined as another optimization objective. The robust accuracy allocation was performed using Isight software and the Non-Dominated Sorting Genetic Algorithm-II built in the MATLAB. The optimization results for a four-axis horizontal machining center showed that the proposed method can realize the optimization of geometric accuracy and can determine the optimal accuracy grade of the feeding components satisfying the machining accuracy requirements.

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Section: Accuracy Modeling Of the Machine Toolmentioning

confidence: 99%

Robust geometric accuracy allocation of machine tools to minimize manufacturing costs and quality loss

Cheng

Zhao

Liu

et al. 2016

Proceedings of the Institution of Mechanical Engineers, Part C:

Self Cite

View full text Add to dashboard Cite

show abstract

“…In ref. [12][13] articles, not only systematic but also random characteristics of equipment accuracy are considered…”

Section: Introductionmentioning

confidence: 99%

Solution of the Rodriguez Equation in Modeling Volumetric Geometric Accuracy of Multi-Coordinate Systems

Stebulyanin

Pimushkin

2021

EPJ Web Conf.

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The article describes the solution to the Rodrigues equation for determining the volumetric accuracy of multi-axis CNC-controlled systems. An algorithm for calculating the position of the axis of a rotary kinematic pair in problems of volumetric accuracy of mechanical motion of a portal-type system with an additional pair of rotation. The algorithm is based on the analytical solution of the Rodrigues equation in the inverse problem of finding the vector of the final rotation of the known modulus from the known initial and final values of the characteristic vector of the rotated rigid body. In contrast to the well-known direct problem, where based on a finite rotation vector known in direction and magnitude, and the initial value of the characteristic vector of a body, its final value is found, the inverse problem of the Rodrigues equation is not that common due to the nonlinearity and need to solve a nonlinear coupled system of second order equations. The results of this work make it possible to expand the dimension of the space of generalized coordinates of the system analyzed for the volumetric accuracy from three to four. This is expected contribute to the development of ultra-precise systems of controlled mechanical movement. The analytical results of this study were verified by comparing with numerical solutions of the inverse problem in Maple.

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“…Therefore, accuracy detection of five-axis machine tools is important for improving the machining performance of machine tools and the quality of parts. 5–7 Common accuracy detection methods include two types. 8 One is the direct method, which uses a specific instrument to test the accuracy of machine tools, such as the Interferometer laser, 9 laser tracker, 10 double ball bar, 11 R-test tester, 12 and rotation tool centre point (RTCP) tester.…”

Section: Introductionmentioning

confidence: 99%

A novel method for evaluating the validity of dynamic accuracy test pieces for five-axis machine tools

Wang

Guan

2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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The detection method for direct machining the standard test pieces, which is commonly employed to exhibit the machining precision of five-axis machine tools, can truly reflect the dynamic accuracy of five-axis machine tools in the actual machining process. Existing theories on explaining the phenomenon that the ability of S-shaped test pieces to detect dynamic accuracy for five-axis machine tools are stronger than those of NAS979 test pieces mostly used the qualitative research methods, and they cannot be quantitatively used to reveal the mathematical relationship between machine tools and test pieces. Therefore, this article makes the first attempt to investigate the quantitative evaluation method for the validity of dynamic accuracy test pieces. The dynamic error function of the servo feed system in the frequency domain was derived first by establishing the mechanical system model and control system model. The method of dipole cancellation was used to acquire a simplified transfer function for the dynamic error affected by the input. Based on the zero-order hold property of the discrete input signals, the expression of dynamic error affected by input in the time domain, which intuitively shows the mathematical relationship among the machine tool performances, the test piece characteristics and the dynamic error of the servo feed system, was obtained. Then, the novel evaluation methods of the linear combinatorial value and the combinatorial linear combinatorial value were proposed. A series of comparative analyses between an S-shaped test piece and an NAS979 test piece were carried out based on the proposed new evaluation methods. A machining experiment conducted on a five-axis machine tool is used to verify the evaluation results.

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Fluctuation prediction of machining accuracy for multi-axis machine tool based on stochastic process theory

Cited by 15 publications

References 29 publications

Robust geometric accuracy allocation of machine tools to minimize manufacturing costs and quality loss

Robust geometric accuracy allocation of machine tools to minimize manufacturing costs and quality loss

Solution of the Rodriguez Equation in Modeling Volumetric Geometric Accuracy of Multi-Coordinate Systems

A novel method for evaluating the validity of dynamic accuracy test pieces for five-axis machine tools

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