Abstract
Aiming at the measurement of roll deformation between two devices, we propose a novel scheme and elaborate the structure design in this paper. The scheme can realize the relative measurement of roll angle even if the system does not provide a reference datum, which effectively solves the problems of limited measurement range of moire fringes and accuracy guarantee only in an extremely small angle range. First, the principle of measuring the roll angle by moire fringes is introduced, and the effects of various error sources in the system are comprehensively considered. Then, the combined measurement scheme and the entire system composition structure are analyzed in detail. In addition, an experimental setup is designed to verify the accuracy of roll deformation measurement. The measurement results show that the root mean square (RMS) error can reach $6.9^{\prime \prime }$ within 3°, and is less than $7.8^{\prime \prime }$ in the range of 0°-90°. Hence, our proposed scheme has a good measurement stability in a large roll range.
Highlights
Angle sensors have been widely used in precise motion correction and other fields
The roll angle refers to the angular change of the center line of the device itself, which has an important practical engineering significance for the measurement of roll deformation [6], [7]
We propose a novel scheme for the measurement of roll angle, and the main contributions are as follows: 1) A non-contact roll measurement scheme using moiré fringes is proposed
Summary
Angle sensors have been widely used in precise motion correction and other fields. Taking the ocean-going survey ships as an example, there are usually a variety of positional measurement and control systems such as radar, theodolite, and inertial navigation system (INS). Moiré fringes can achieve relative measurement in a small angle range and do not depend on the system reference datum, which are suitable for the case where two devices roll each other. Θ represents the roll angle between two gratings, and the moiré fringe equation can be obtained based on this coordinate system. When deformation occurs between the two target devices, the roll angle can be calculated by the changes of the moiré fringe width as follows: θm d 2arcsin. Compared with other measurement schemes, our proposed scheme does not provide a measurement reference position, and the corresponding roll angle can be calculated based on the changes of the moiré fringe width. Moiré fringes have a good flexibility in measuring the roll angle
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