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Consider a crane whose telescopic boom rotates with an angular velocity of 0.04 rad/s and angular acceleration of 0.02 rad/s2. Along with the rotation, the boom also extends linearly with a uniform speed of 5 m/s. The extension of the boom is measured at point D, which is measured with respect to the fixed point C on the other end of the boom. For the given instant, the distance between points C and D is 60 meters.
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Related Experiment Video

Updated: Aug 10, 2025

Three-Dimensional Finger Motion Tracking during Needling: A Solution for the Kinematic Analysis of Acupuncture Manipulation
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Angular error measurement of workpiece repositioning using a full-scale rotation detection method.

Zijian Zhu, Chenyang Zhao

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    Manufacturing accuracy is improved with a new Rotation Correction Fixture (RCF). This fixture detects angular displacement errors, preventing microstructural defects in precision machining. The RCF ensures high-accuracy workpiece positioning.

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    Area of Science:

    • Manufacturing Engineering
    • Metrology
    • Optical Measurement

    Background:

    • Workpiece repositioning errors significantly impact manufacturing accuracy, especially for microstructures.
    • Declination errors during repositioning can cause critical microstructural defects.

    Purpose of the Study:

    • To design a fixture for detecting plane angular displacement error between workpiece and tool.
    • To develop a method for high-precision angular displacement measurement in micro-machining.

    Main Methods:

    • Introduction of the Rotation Correction Fixture (RCF) with a polar microstructure fiducial marker.
    • Implementation of a Full-scale Rotation Detection (FRD) method using Fourier transform and Fast and Robust Feature-based Positioning.
    • Utilizing template matching to resolve phase ambiguity in Fourier transform analysis.

    Main Results:

    • The proposed RCF and FRD method successfully detect angular displacement errors.
    • Achieved a standard deviation error of 250.24 arcseconds in workpiece declination calibration.
    • Demonstrated suitability for precision workpiece positioning requirements.

    Conclusions:

    • The RCF provides a practical solution for workpiece declination error detection.
    • The FRD method offers high-precision, full-scale angular displacement measurement.
    • The developed system meets the stringent demands of precision micro-machining.