Displacement Measurement Method Based on the Rotating Paraboloid Array

Lv, Zekui; Su, Zhikun; Zhang, Dong; Yang, Zhiming; Yang, Xiaohuan; Xuan, Wei; Li, Jue; Zhang, Haitao; Li, Xinghua

doi:10.3390/app9163315

Cited by 2 publications

(3 citation statements)

References 31 publications

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“…The surface accuracy of the machined surface was guaranteed via finish grinding, so the off-axis parabolic surface after finishing was detected. A three-coordinate measuring machine (PRISMO, ZEISS, Berlin, Germany) was used to realize the contact measurement of the surface accuracy [33,34]. By controlling the probe to scan the entire machining surface, the three-dimensional coordinate point cloud data of the actual machining surface was obtained.…”

Section: Detection Methodsmentioning

confidence: 99%

Effect of Wheel Path in Raster Grinding on Surface Accuracy of an Off-Axis Parabolic Mirror

Li,

Guo

et al. 2023

Applied Sciences

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Off-axis parabolic mirrors have extensive applications in X-ray optics, with the precision of their curvature directly impacting grazing-incidence focusing performance. Notably, the off-axis parabolic surface has non-rotating and non-symmetrical characteristics. Ultra-precision raster grinding utilizing a diamond wheel is a common method. Crucially, establishing an optimal wheel path stands as the key to ensuring surface accuracy during off-axis paraboloid grinding. In this study, according to the double curvature property of an off-axis parabolic surface, two different wheel paths were compared: one tracing the meridian direction (parabolic generatrix) and the other following the arc vector direction (arc). The results showed that the wheel path in raster grinding stepping along the arc vector direction can obtain a smaller scallop height and higher surface accuracy. The surface accuracy of one step along the arc vector direction is 9.6 μm, and that of the other step along the meridian direction is 32.6 μm. A model of the scallop height was established based on the relative relationship between adjacent wheel paths, and the error is within 5%. According to the correlation between scallop height and shape error, we conducted an analysis of the spatial distribution of shape errors under varying wheel paths. The wheel path that steps along the arc vector is more suitable for raster grinding of the off-axis paraboloid. The above study can provide theoretical guidance for the wheel path planning of off-axis parabolic mirrors with high surface accuracy.

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Section: Detection Methodsmentioning

confidence: 99%

Effect of Wheel Path in Raster Grinding on Surface Accuracy of an Off-Axis Parabolic Mirror

Li,

Guo

et al. 2023

Applied Sciences

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“…In view of the limitations of the application of single freeform surfaces in large range scenarios, some scholars used arrays to meet the application. Lv et al [10] proposed a 2-D displacement measurement method based on the rotating parabolic array, which extended the measurement range of the system in a discrete manner. Yang et al [11] formed freeform surfaces into an L-shaped array and established an error identification model to identify 21 geometric errors of the machine tool.…”

Section: Introductionmentioning

confidence: 99%

“…The composite module studied in this paper is composed of a plane and a rotating paraboloid. Yang and Lv have introduced the application of the composite module array in displacement measurement and 21 geometric errors of the machine tool detection, showing the broad prospect of the composite module array [10,11]. Owing to the existence of installation error, the relative angle and position of each composite module deviate from the theoretical value, which creates a huge error in the application of composite module arrays in measurement and other fields.…”

Section: Introductionmentioning

confidence: 99%

A Noncontact Method for Calibrating the Angle and Position of the Composite Module Array

Xuan

et al. 2020

Applied Sciences

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Freeform surface is one of the research focuses in the measurement field. A composite module is composed of a plane and rotating paraboloid. The composite module array can identify 21 geometric errors of the machine tool in a wide range, which is composed of several composite modules. Eliminating the error of the array itself is of great significance for improving measurement accuracy. For this reason, this paper proposed a noncontact method for calibrating the angle and position of the composite module array. This paper used a self-developed angle sensor to access corresponding information and established the mathematical model according to the freeform surface’s geometric characteristics to achieve calibration. In addition, the influence of array placement error on calibration was analyzed. The experimental results showed that the angle repeatability was within 0.4″ around the X-axis and within 0.3″ around the Y-axis, and the position repeatability was within 0.4 µm in the X direction and within 0.7 µm in the Y direction. The measurement comparison experiments with high-precision laser interferometer and uncalibrated array verified the correctness of the experimental results. This method provides an important reference for practical application and freeform surface array calibration, and creates conditions for the implementation of machine tool error detection.

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Displacement Measurement Method Based on the Rotating Paraboloid Array

Cited by 2 publications

References 31 publications

Effect of Wheel Path in Raster Grinding on Surface Accuracy of an Off-Axis Parabolic Mirror

Effect of Wheel Path in Raster Grinding on Surface Accuracy of an Off-Axis Parabolic Mirror

A Noncontact Method for Calibrating the Angle and Position of the Composite Module Array

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