A simple method for estimating the roundness of minimum zone circle

Huang, Qiangxian; Mei, Jianqiang; Liu, Yue; Cheng, Rongjun; Zhang, L.; Fang, Chuanzhi; Li, R.; Chen, L.

doi:10.1002/mawe.201900012

Cited by 5 publications

(3 citation statements)

References 9 publications

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“…The axis straightness errors can be evaluated by using the least-square criterion and minimum zone criterion, 4,5 and the center coordinates of the reference circle of the roundness profiles can be determined according to the least-square criterion, minimum circumscribed criterion, maximum inscribed criterion and minimum zone criterion, the corresponding reference circles of which are the least-square circle, the minimum circumscribed circle, the maximum inscribed circle, and the minimum zone circle. [6][7][8][9][10] According to the definition of axis straightness error, its evaluation should comply with the minimum zone criterion, but it is also often evaluated by the least-square criterion, which is called approximate evaluation method. With the rapid development of intelligent manufacturing, the evaluation method of the geometric errors of parts needs to be clearly indicated on the drawing, that is, the geometric error will be tested according to the indicated evaluation method, and there is no problem of so-called approximate evaluation method.…”

Section: Introductionmentioning

confidence: 99%

Influence of reference circles on the evaluation results of axis straightness errors

Zhao

2023

Measurement and Control

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Measurement principle of axis straightness error of cylindrical parts was introduced based on their roundness profiles. The evaluation models of the center coordinates of four kinds of the reference circles were built, and the evaluation models of the axis straightness errors were established by using the least-square and minimum zone criteria. The roundness profiles of eight simulated cylinders, eight holes, and eight shafts were extracted, and their axis straightness errors were evaluated based on the different reference circles and evaluation criteria. The “minimax” issues in the evaluation process of axis straightness errors were be solved by using Equilibrium Optimizer, and its implementation flows were given. Their evaluation results were analyzed under the used reference circles and evaluation criteria. The analysis results showed that both reference circles and evaluation criteria have much influence on the evaluation results, and that among the evaluation results based on the centers’ coordinates of four reference circles and two evaluation criteria, the axis straightness errors evaluated based on the center coordinates of least-square reference circle and the minimum zone criteria is the least one for most of cylindrical parts, the roundness profiles of which may have no singularities, and the differences among the axis straightness errors evaluated on the basis of different reference circles and different evaluation criteria are very large sometimes, which should be noted in checking whether the axis straightness errors of parts are qualified.

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Section: Introductionmentioning

confidence: 99%

Influence of reference circles on the evaluation results of axis straightness errors

Zhao

2023

Measurement and Control

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“…The results of the proposed method provide more accurate values than conventional techniques. Huang et al [27] presented an asymptotic search method according to which roundness is solved iteratively using the intersecting chord to avoid trapping in the local solution. Liu et al [28] proposed and developed a novel cylindricity evaluation method.…”

Section: Introductionmentioning

confidence: 99%

An Efficient Improved Harris Hawks Optimizer and Its Application to Form Deviation-Zone Evaluation

Liu

Sun

et al. 2023

Sensors

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Evaluation of the deviation zone based on discrete measured points is crucial for quality control in manufacturing and metrology. However, deviation-zone evaluation is a highly nonlinear problem that is difficult to solve using traditional numerical optimization methods. Swarm intelligence has many advantages in solving this problem: it produces gradient-free, high-quality solutions and is characterized by its ease of implementation. Therefore, this study applies an improved Harris hawks algorithm (HHO) to tackle the problem. The average fitness is applied to replace the random operator in the exploration phase to solve the problem of conflicting exploration strategies due to randomness. In addition, the salp swarm algorithm (SSA) with a nonlinear inertia weight is embedded into the HHO, such that the superior explorative ability of SSA can fill the gap in the exploration of HHO. Finally, the optimal solution is greedily selected between SSA-based individuals and HHO-based individuals. The effectiveness of the proposed improved HHO optimizer is checked through a comparison with other swarm intelligence methods in typical benchmark problems. Moreover, the experimental results of form deviation-zone evaluation on primitive geometries show that the improved method can accurately solve various form deviations, providing an effective general solution for primitive geometries in the manufacturing and metrology fields.

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“…Ste ˛pień et al propose three methods of cylindricity measurement [8] and analyze the advantages and disadvantages of each method. Huang et al propose an asymptotic search method in the paper [9] to obtain the coordinates of the concentric circles of the minimum zone model and calculate the roundness error. Jakubowicz et al discuss application of the slot-shaped nozzles in the air gauges for the roundness assessment in the paper [10].…”

Section: Introductionmentioning

confidence: 99%

A new method of roundness error evaluation based on twin support vector machines

Zheng

Cao

et al. 2021

Meas. Sci. Technol.

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The geometric error determines the product quality and function to a certain extent. Among them, the roundness error is one of the important indicators for evaluating the geometric error of shaft parts. With the increase of industrial requirements, there are higher requirements for the accuracy and efficiency of roundness error evaluation. However, most of the traditional roundness error evaluation models used in the industry can no longer meet the needs of current industrial processing in terms of efficiency and accuracy. This paper proposes a new roundness error evaluation method based on twin support vector machines (TWSVMs). First, according to the roundness error evaluation and the TWSVMs theory, the roundness error evaluation model with the TWSVMs is obtained. Then, experimental research and analysis are carried out, and the accuracy and efficiency of the traditional roundness evaluation method and the new method are compared. The research results show that the new roundness evaluation method based on the TWSVMs proposed in this paper can efficiently and accurately evaluate the roundness error, and can be applied to the online evaluation of the roundness error in industrial processing to improve the processing efficiency.

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A simple method for estimating the roundness of minimum zone circle

Cited by 5 publications

References 9 publications

Influence of reference circles on the evaluation results of axis straightness errors

Influence of reference circles on the evaluation results of axis straightness errors

An Efficient Improved Harris Hawks Optimizer and Its Application to Form Deviation-Zone Evaluation

A new method of roundness error evaluation based on twin support vector machines

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