提出了一种利用表面刻有周期性规则图案的陀螺转子进行非接触式角度测量的方法，这种方法利用光电传感器读取陀螺转子表面的图案信息，从而实时测量陀螺转子的偏转角。介绍了这种测角方法的原理和测角装置的结构，并建立三维几何模型，详细推导了测角方法的角度解算算法，得到了陀螺转子在无偏转、一维偏转及二维偏转三种情况下的偏转角与光电传感器测得的陀螺转子表面图案信息之间的关系曲线或曲面。计算结果表明，两个正交方向的光电传感器共同探测,即可得到陀螺转子的偏转角及偏转方向，其结果唯一，且测角范围大于30°。该测角方法可用于静态测量和高速动态测量。

A non-contact angle measurement method based on gyrorotor with periodical pattern surface is proposed. By using photoelectric sensors to detect the information from periodical pattern surface of gyrorotor, we can measure the deflection angle of gyrorotor in real time. The angle measurement principle and its device are introduced. By constructing three-dimensional geometrical models, the angle decoding algorithm of the angle measurement method is derived in detail, and the curves or the surfaces of the relationships between the gyrorotor′s pattern surface information detected by photoelectric sensors and the angle deflections (calculated under the conditions that the gyrorotor is without deflection, with one-dimensional deflection and with two-dimensional deflection respectively) are obtained. The results show that the deflection angle and the deflection direction of gyrorotor can be measured by two photoelectric sensors in orthogonal directions, and the measurement values are unique and the measurement range of deflection angle is larger than 30°. This method can be used to measure angle deflection both in static and high-speed dynamic measurements.