A geometric accuracy analysis and tolerance robust design approach for a vertical machining center based on the reliability theory

Wu, Huai‐Ning; Zheng, Hualin; Li, Xiaoxiao; Wang, Wenkuan; Xiang, Xiping; Meng, Xiaoping

doi:10.1016/j.measurement.2020.107809

Cited by 40 publications

(12 citation statements)

References 27 publications

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“…The IG process is similar to the gamma process and can only be used to describe degradation processes where the degradation path is strictly monotonic. The degradation increment Δ𝑌(𝑡) is independent and obeys IG distribution as 𝐼𝐺(ΔΛ(𝑡), 𝜂ΔΛ(𝑡) 2 ). The PDF of IG distribution for performance degradation increment Δ𝑌(𝑡) is:…”

Section: Ig Process Modelmentioning

confidence: 99%

“…Nowadays, continual-evolution of usage requirements in various industries, such as aircraft engines, high speed trains, and manufacturing systems, gives rise to the ever-increasing demands for long-life and high-reliability products. [1][2][3][4] Reliability analysis of these products has become a common demand among industrial communities and academic circles. Reliability data are critical for the reliability analysis of these high safety and reliability products.…”

Section: Introductionmentioning

confidence: 99%

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Bayesian information fusion method for reliability analysis with failure‐time data and degradation data

Guo

Peng

et al. 2022

Quality & Reliability Eng

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Degradation data and failure‐time data are two types of data commonly used in reliability analysis. Both types of data are collected from different sources for reliability analysis of complex products. For highly reliable products, however, it is often difficult to collect sufficient useful data for reliability analysis with high accuracy, which poses the challenge for small sample size problems, that is, single‐type data with few samples. In this paper, three novel Bayesian information fusion models are first proposed to characterize the inherent relationship between the failure‐time data and the degradation data, and further to integrate the heterogeneous data to obtain accurate reliability analysis results under small sample size. Then, a model selection method is developed to choose appropriate model from the Wiener process, gamma process, and IG process models. Finally, the reliability analysis is completed based on the parameter estimation of the Bayesian information fusion model with the aid of the MCMC method. An industrial example is presented to demonstrate the effectiveness of the proposed Bayesian information fusion method.

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Section: Ig Process Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Bayesian information fusion method for reliability analysis with failure‐time data and degradation data

Guo

Peng

et al. 2022

Quality & Reliability Eng

View full text Add to dashboard Cite

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“…In order to further improve the compensation efficiency, scholars at home and abroad have established error models and then carried out sensitivity analysis studies on the geometric errors so as to obtain the most critical error elements affecting the machine tool error and to compensate for them in a targeted manner. Guoqiang Fu [13] used sensitivity analysis of the different effects of different axes on the accuracy of the machine tool to model the contribution of geometric errors and sensitivity assessment of each axis of the machine tool in order to obtain the degree of influence on each axis and to identify the critical axes of the machine tool. Zongze Li [14] adopted sensitivity analysis methods to elucidate the relationship between toolpath error and feed axis error motion.…”

Section: Introductionmentioning

confidence: 99%

A method of sensitivity analysis and precision prediction for geometric errors of five-axis machine tools based on multi-body system theory

Tan

Liao

Jiang

et al. 2022

Int J Adv Manuf Technol

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In order to ensure the mechanical performance and machining accuracy of the machine tool, the problem of mutual deviations of the machine tool moving parts in the machining process, which cause machining errors and subsequent accuracy prediction difficulties, is solved.Firstly, the structure and motion mechanism of the machine tool are analysed, and a static accuracy model of the machine tool machining posture relationship is established using multi-body system theory and coordinate transformation, and the measured deviation values are fitted and solved according to the formula, and the geometric error law affecting machining accuracy and the distribution of machining point error values in the machine tool motion space are explored. Then the response surface method is used to simplify the solution. Finally, the blade is selected as the machined part and the machining trajectory is extracted for experiments to obtain the error distribution range of the machining surface of the blade.The final experimental results surface, along the Z-directional component and the integrated average compensation rate reached 42.6% and 89.6% respectively, verifying the effectiveness of the method in this paper.

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“…Goka et al [27] proposed a probabilistic model using Kernel Density Estimation for gap modeling in sliding and fixed contacts used in the tolerance analysis of a mechanical system containing some form defects. Reliability theory is also used in the tolerancing analysis process in several research papers published during the last few years; Wu et al [28] demonstrated the efficiency of this approach in the design of a vertical machining center. In fact, the reliability approach can achieve rational and economical distribution of geometric accuracy in such type of design.…”

Section: Introductionmentioning

confidence: 99%

Three-Dimensional Synthesis of Manufacturing Tolerances Based on Analysis Using the Ascending Approach

et al. 2022

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The present paper develops a new approach for manufacturing tolerances synthesis to allow the distribution of these tolerances over the different phases concerned in machining processes using relationships written in the tolerance analysis phase that have been well developed in our previous works. The novelty of the proposed approach is that the treatment of non-conventional surfaces does not pose a particular problem, since the toleranced surface is discretized. Thus, it is possible to study the feasibility of a single critical requirement as an example. During the present approach, we only look for variables that influence the requirements and the others are noted F (Free). These variables can be perfectly identified on the machine, which can be applied for known and unknown machining fixtures; this can be the base for proposing a normalized ISO specification used in the different machining phases of a mechanical part. The synthesis of machining tolerances takes place in three steps: (1) Analysis of the relationship’s terms, which include the influence of three main defects; the deviation on the machined surface, defects in the machining set-up, and the influence of positioning dispersions; then (2) optimization of machining tolerance through a precise evaluation of these effects; and finally (3) the optimization of the precision of the workpiece fixture, which will give the dimensioning of the machining assembly for the tooling and will allow the machining assembly to be qualified. The approach used proved its efficiency in the end by presenting the optimal machining process drawing that explains the ordered phases needed to process the workpiece object of the case study.

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A geometric accuracy analysis and tolerance robust design approach for a vertical machining center based on the reliability theory

Cited by 40 publications

References 27 publications

Bayesian information fusion method for reliability analysis with failure‐time data and degradation data

Bayesian information fusion method for reliability analysis with failure‐time data and degradation data

A method of sensitivity analysis and precision prediction for geometric errors of five-axis machine tools based on multi-body system theory

Three-Dimensional Synthesis of Manufacturing Tolerances Based on Analysis Using the Ascending Approach

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