Single-step spatial rotation error separation technique for the ultraprecision measurement of surface profiles

Hou, Maosheng; Qiu, Lirong; Zhao, Wenguang; Wang, Fan; Liu, Entao; Ji, Lin

doi:10.1364/ao.53.000487

Cited by 7 publications

(3 citation statements)

References 18 publications

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“…Since φ x , φ y , φ z , δ x and δ y are constant values, if the measured part is rotated around the rotation axis, the error will appear repeatedly, that is, the error exhibits a periodic signal with a period of 2π . Therefore, this paper investigates the method of error separation from the periodicity of error [15,16].…”

Section: Research On Error Separation Methodsmentioning

confidence: 99%

“…Formula (15) represents a known quantity obtained through multiple measurements, but it is not the final measurement result required, so a secondary separation operation is necessary. To achieve this, the discrete Fourier transform (DFT) is applied to both sides of formula (15). By utilizing the delay-phase shift property of DFT, the equation can be solved as shown in formula ( 16):…”

Section: Error Separation Of Axial Center Of Gravity Measurementmentioning

confidence: 99%

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Research on error separation method of center of gravity measurement system for large-sized solid of revolution

Wang

Zhao

2023

Meas. Sci. Technol.

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In order to realize mass and center of gravity measurement of large-sized rotating parts, a set of combined measurement system for center of gravity measurement was developed to adjust the distance according to the length and supporting position of the parts to adapt to different lengths of the measured parts. The study focused on the center of gravity synthesis, error factors and error separation within the system. Firstly, two sets of center of gravity measuring equipment based on multi-point weighing method were used to conduct a joint test on the large-sized measured parts, and the center of gravity measuring model was analyzed. Secondly, the measurement error and its influence on the measurement result are were analyzed when the two sets of measuring equipment were not parallel. Finally, error signals were separated using the multi-step method, Fourier transform and inverse Fourier transform. Simulation experiments show that the residual center of gravity error of Y axis and Z axis is less than 0.3 mm when the tilt angle between two sets of equipment is below 0.3°. The test results demonstrate that the center of gravity measurement error along the X axis is less than 2 mm, which indicates the measurement accuracy better than 0.02% as the length of the test object is about 10000 mm, and the center of gravity measurement error along the Y axis and Z axis is less than 0.5 mm, which also indicates the measurement accuracy better than 0.02%. These findings indicate that the system enables high-precision measurement of the center of gravity for large-sized rotary products.

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Section: Research On Error Separation Methodsmentioning

confidence: 99%

Section: Error Separation Of Axial Center Of Gravity Measurementmentioning

confidence: 99%

Research on error separation method of center of gravity measurement system for large-sized solid of revolution

Wang

Zhao

2023

Meas. Sci. Technol.

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“…Generally, there are many sources of error in measurement methods. Researchers found: it is difficult to separate the error resulting from the stylus vibration and the measured surface in roundness measurement [3][4][5][6][7].…”

Section: Introductionmentioning

confidence: 99%

Method of Optimal Measurement Strategy for Ultra-High-Precision Machine in Roundness Nanometrology

Ali

2015

International Journal on Smart Sensing and Intelligent Systems

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Abstract-Talyrond-TR is a modern sensitive instrument in nanometrology. The performance ofTalyrond-TR machine is very important to find an optimal result in roundness measurement. In this paper, the experimental evaluation method of Talyrond-TR 73 Experimental results revealed that the lowest deviation in roundness has been investigated by using MZ reference algorithm. The average of total roundness indicates low deviation by about 65.6% and 57.3% at using 2CR-and Gaussian-filter respectively, which proved the machine reliability within application range. Furthermore, the evaluation method was performed experimentally to establish reference data sets for circular, cylindrical and spherical objects. The sets of established data at different strategic parameters have been postulated to satisfy the ability of the proposed method to correlate the roundness measurements within the application range. The experimental result ensures that the proposed evaluation method is reliable and effective. Moreover, expanded uncertainty in measurement has been estimated and confirmed the degree of confidence for the proposed method.

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High-precision displacement sensor in advanced manufacturing: Principle and application

Zhou,

Liu,

et al. 2025

Measurement

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Single-step spatial rotation error separation technique for the ultraprecision measurement of surface profiles

Cited by 7 publications

References 18 publications

Research on error separation method of center of gravity measurement system for large-sized solid of revolution

Research on error separation method of center of gravity measurement system for large-sized solid of revolution

Method of Optimal Measurement Strategy for Ultra-High-Precision Machine in Roundness Nanometrology

High-precision displacement sensor in advanced manufacturing: Principle and application

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