Improved evaluation of minimum zone roundness by integrating bidirectional search of unequal probability and offset mechanisms

The roundness error is one of the criteria for evaluating the qualifications of industrial parts. With the development of science and technology—especially the popularity of the new generation of Product Geometry Specifications (GPS), the method of high-precision measurement of roundness error has become a hotspot in the field of industrial metrology. To evaluate roundness error accurately and quickly, a novel algorithm was proposed based on the analysis of the existing evaluation algorithms, which was called the improve zone searching algorithm (IZS). First, the roundness error evaluation model based on the IZS was obtained. Then, the accuracy and efficiency of the algorithm are verified by simulation calculating. According to the experimental researches comparing traditional methods with IZS, it turns out that the speed is faster than the traditional methods and the calculating result is more accurate. Also, this paper improves Pauta criterion so that we can get the measured points correctly and quickly. These studies can be applied to the measurement of roundness error in industrial practice and have very important application value.

Section: The Verification Of Methods Of Izsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A novel method for roundness error based on searching the center of the circle

Wang¹,

Zheng²,

Kong³

et al. 2022

“…Rhinithaa et al [11] compared several selected benchmark algorithms to make recommendations for the optimum choice for assessing the roundness error of the MCC, MIC, and MZC and proposed a reflection mapping technique to determine the roundness error. Huang et al [12] proposed an algorithm combining bidirectional search and adaptive migration mechanism with unequal probability. This method has good convergence performance.…”

Section: Introductionmentioning

confidence: 99%

A novel roundness error evaluation method for high-speed EMU train axles

Wang,

Liu,

Hou

et al. 2023

This article proposes a novel roundness error evaluation method for high-speed electric multiple units (EMU) train axles to evaluate the roundness error of the minimum zone circle. This method utilizes the adaptive ability of Bayesian linear regression to the data to solve the initial center of the circle, avoiding the multiple search process, which not only improves the data utilization and simplifies the solving steps but also has a strong noise immunity. The method first establishes a Hough space model, maps the collected data points to the Hough space, and forms different conical surfaces; then, by Bayesian linear regression, the probability density function is set with the distance from the space point to the conical surface as a parameter, and through continuous iteration, the point with the highest probability value is the more accurate initial center of the circle. Finally, the final optimal center of the circle is obtained by the principle of minimum inclusion region. We conducted experimental studies on axles of different diameters and compared them with other methods. The results prove the practicality and effectiveness of the technique.

“…The chord intersection relationship is also used to accurately determine the centre coordinates of the concentric circles [16]. The roundness error has also been evaluated using other approaches, such as integrating the bidirectional search of unequal probability and offset mechanisms [17], hybrid global search [8], selection of four points [18], worst-case analysis [19], the concept of convex hulls, and the newly proposed equi-angular diagrams [20]. Based on a selected point dataset, Muralikrishnan et al [21] discussed the implementation of the alternating exchange algorithm.…”

Section: Introductionmentioning

confidence: 99%

Improved algorithm for minimum zone of roundness error evaluation using alternating exchange approach

Khlil

Shi

Umar

et al. 2022

Based on the computational geometry technique, an improved algorithm for minimum zone of roundness error evaluation using an alternating exchange method is presented. A minimum zone fitting function was created to enhance the roundness error evaluation. The function uses three candidate points to determine the initial solution: the expected centre, the mean circle radius, and the corresponding zone half-width. The best solution function is designed to use the initial solution as the input to determine the optimum solution for the minimum zone circle. The proposed algorithm was validated using data available in the literature. The roundness error evaluation comparison results demonstrate that the proposed method accurately detects both the centre error magnitude and minimum zone circle and overcomes the insufficiency of using selected colinear points for four selected points.