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Design of roundness measurement model with multi-systematic error for cylindrical components with large radius
Chuanzhi Sun1, Lei Wang1, Jiubin Tan1
1Institute of Ultra-precision Optical and Electronic Instrument Engineering, Harbin Institute of Technology, Harbin 150001, China.
This study introduces a new roundness measurement model accounting for multiple systematic errors. The enhanced model significantly improves measurement accuracy for cylindrical components, especially those with larger radii.
Area of Science:
- Metrology and Measurement Science
- Mechanical Engineering
- Manufacturing Technology
Background:
- Accurate roundness measurement is critical for cylindrical component quality.
- Traditional models often neglect multiple systematic errors, limiting precision.
- Existing methods struggle with components exhibiting large radii.
Purpose of the Study:
- To develop an advanced roundness measurement model incorporating multi-systematic errors.
- To analyze the impact of eccentricity, probe offset, probe tip radius, and tilt error on roundness measurement.
- To enhance the accuracy of roundness measurements for cylindrical components, particularly those with large radii.
Main Methods:
- Design of a novel roundness measurement model integrating eccentricity, probe offset, probe tip radius, and tilt error.
- Analysis of systematic error effects and component radius influence on measurement accuracy.
- Experimental validation using a high-precision rotating spindle instrument and a standard cylindrical component on a roundness measuring machine.
Main Results:
- The proposed model demonstrates improved accuracy compared to the traditional limacon model.
- An accuracy increase of approximately 2.2 μm was achieved for components with a radius around 37 mm.
- The model effectively accounts for multi-systematic errors in roundness measurement.
Conclusions:
- The developed roundness measurement model offers superior accuracy, especially for large-radius cylindrical components.
- The method facilitates error separation, calibration, and comparison in metrology applications.
- This approach advances the precision and reliability of roundness metrology for industrial components.
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Accuracy is defined as the closeness of the measured value to the true or actual value. In engineering mechanics, repeated measurements are taken during theoretical or experimental analyses to ensure that the result is precise and accurate.
The accuracy of any solution is based on the...

