应用于二维倾斜仪中的圆弧柱面差动电容理论分析

介绍了基于圆柱摆体和圆弧柱面极板的二维倾斜仪模型，并对其圆弧柱面差动电容电路进行理论分析。结果表明，提高倾斜仪的观测灵敏度需适度增加圆柱摆体半径与高度及吊丝长度，减小圆弧柱面极板圆心角，缩小动极板与定极板间隙距离；减少倾斜仪的输出非线性需适度增加圆柱摆体半径和动极板与定极板间隙距离，减小圆弧柱面极板圆心角、圆柱摆体高度及吊丝长度。依据该原则，选取一组典型参数，计算得到倾斜仪理论灵敏度为0.028 5 V/(″)，非线性度为0.001 2%。

Theoretical Analysis of Arc Cylindrical Plate Differential Capacitor Applied in Two-Dimensional Tiltmeter

We introduce a two-dimensional tiltmeter based on a cylindrical pendulum body and an arc cylindrical plate; we theoretically analyze the arc cylindrical plate differential capacitor. The analysis shows that to improve the sensitivity of the tiltmeter, it is necessary to appropriately increase the radius, the height of the cylindrical pendulum body and the length of the hanger wire, and to reduce the central angle of the arc cylindrical plate and the distance between the moving plate and the fixed plate; to reduce the non-linearity of the tiltmeter, it is necessary to appropriately increase the radius of the cylindrical pendulum body and the distance between the moving plate and the fixed plate, and reduce the central angle of the arc cylindrical plate, the height of the cylindrical pendulum body, the length of the hanger wire. Based on the above principles, we select a set of typical parameters, and the theoretical calculation shows that the sensitivity of the tiltmeter is 0.028 5 V/(″), and the non-linearity is 0.001 2%.