Sensitivity analysis using a variance-based method for a three-axis diamond turning machine

Zou, Xicong; Zhao, Xuesen; Li, Guo; Li, Zengqiang; Sun, Tao

doi:10.1007/s00170-017-0394-y

Cited by 26 publications

(6 citation statements)

References 28 publications

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“…It is commonly accepted that the first-order sensitivity index S i represents the main influence of the geometric error h i on the measurement result. It is proved that S i is capable of adequately representing S Ti when the error levels of geometric errors are relatively small [35], which means that the interaction between any two arbitrary geometric errors can be ignored in the sensitivity analysis process, and this simplification can still provide valuable guidance without affecting the analysis result. erefore, only S i is henceforth discussed in the study.…”

Section: Resultsmentioning

confidence: 99%

Error Distribution of a 5-Axis Measuring Machine Based on Sensitivity Analysis of Geometric Errors

Zou

Zhao

Wang

et al. 2020

Mathematical Problems in Engineering

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Geometric errors are inevitably introduced into any multiaxis measuring system, and the geometric error is one of the main factors that seriously affects the measurement accuracy. The present work investigates the error distribution of the prototype of a 5-axis measuring machine based on sensitivity analysis of geometric errors. The measurement error modeling of the 5-axis measuring machine is first established via the homogeneous coordinate transformation, and the Sobol global sensitivity analysis method is then employed to quantify the influence of geometric errors on the measurement result with the sensitivity index. The result shows that most of the angular errors are the crucial geometric errors seriously affecting the measurement result. These errors are supposed to be fully considered in the accuracy design and manufacturing stages. The error levels of the crucial geometric errors were distributed and readjusted according to the sensitivity analysis result. Some practical approaches to distribute and improve the crucial geometric errors have been given in detail. The error distribution method is effective to equalize the influence of the crucial geometric errors on the measurement result as possible. The findings of this study provide significant meanings for the optimal design and accurate manufacturing of the 5-axis measuring machine, and the proposed method can be used to improve the measurement accuracy of the 5-axis measuring machine.

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Section: Resultsmentioning

confidence: 99%

Error Distribution of a 5-Axis Measuring Machine Based on Sensitivity Analysis of Geometric Errors

Zou

Zhao

Wang

et al. 2020

Mathematical Problems in Engineering

Self Cite

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“…The relative location and attitude between two bodies can be obtained through HTM based on the MBS theory [27]. The topology of the FTS turning system is shown in Figure 1b, which includes a tool branch form the machine bed to the cutting tool and a workpiece branch from the machine bed to the workpiece.…”

Section: Micromachines 2020 11 X 3 Of 12mentioning

confidence: 99%

Effects of Machining Errors on Optical Performance of Optical Aspheric Components in Ultra-Precision Diamond Turning

Zhang

Lin

et al. 2020

Micromachines

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Optical aspheric components are inevitably affected by various disturbances during their precision machining, which reduces the actual machining accuracy and affects the optical performance of components. In this paper, based on the theory of multi-body system, we established a machining error model for optical aspheric surface machined by fast tool servo turning and analyzed the effect of the geometric errors on the machining accuracy of optical aspheric surface. We used the method of ray tracing to analyze the effect of the surface form distortion caused by the machining error on the optical performance, and identified the main machining errors according to the optical performance. Finally, the aspheric surface was successfully applied to the design of optical lens components for an aerial camera. Our research has a certain guiding significance for the identification and compensation of machining errors of optical components.

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“…Compared with LSA, the global sensitivity analysis (GSA) is not limited to one single point but explores the whole input space, which can overcome the major limitation of LSA, such as the Morris method [14], but the method provides only semi-quantitative information without detecting and capturing interactions between parameters and nonlinearities [15,16]. The Sobol method is another way to complete GSA, and it provides detailed information about the interactions of input parameters [17][18][19][20]. However, the normal Sobol method utilizes the pure Monte-Carlo (MC) algorithm to compute the sensitivity index of each error term [21,22].…”

Section: Introductionmentioning

confidence: 99%

Sensitivity analysis of geometric error for a novel slide grinder based on improved Sobol method and its application

Han

Wang

et al. 2022

Int J Adv Manuf Technol

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In order to improve both the accuracy and efficiency of grinding slide, this paper designs a novel grinder with dual-lead-dual-head. Since the geometric error is one of the major contributors causing machine inaccuracies, the sensitivity analysis is performed to identify the critical geometric error terms, and an application to accuracy self-test is also given. The volumetric model of the grinder with 38 geometric errors is built by using the homogeneous transformation matrix (HTM) and multi-body system (MBS) theory. An improved Sobol method with quasi-Monte-Carlo algorithm is utilized to perform the global sensitivity analysis (GSA) in the entire workspace. The particular sensitivity analysis is further carried out on the basis of the machining characteristics of a typical slide. All sensitivity analysis results are validated through the error compensation simulations. Besides that, some discussions are given to determine the total critical errors of the grinder considering both entire workspace and particular machining requirements. Finally, the pitch and yaw errors between the dual-grinding-head are investigated, and based on the sensitivity analysis results, a quick accuracy self-test approach is proposed to reduce the measurement load in practice.

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Sensitivity analysis using a variance-based method for a three-axis diamond turning machine

Cited by 26 publications

References 28 publications

Error Distribution of a 5-Axis Measuring Machine Based on Sensitivity Analysis of Geometric Errors

Error Distribution of a 5-Axis Measuring Machine Based on Sensitivity Analysis of Geometric Errors

Effects of Machining Errors on Optical Performance of Optical Aspheric Components in Ultra-Precision Diamond Turning

Sensitivity analysis of geometric error for a novel slide grinder based on improved Sobol method and its application

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