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本文提出了自动安平补偿作用的数学模型,它建立于对补偿作用的理解:补偿器转动引起的象的补偿位移等于物相对于摆动轴转动的作用与象相对于摆动轴转动的作用之和。从而完整地解决了传统的自动安平水准仪理论中“屈折”与“平移”两种补偿作用模式的理论上的统一。它的最有实际意义的结果是为各种类型补偿器的补偿作用计算提供了一个普遍适用的又极为简单的方法。
In this paper, a mathematical model of automatic compensating action is proposed. It is based on the understanding of the compensating action that the compensating displacement of the compensator due to rotation is equal to the sum of the action of the object relative to the oscillating axis and the action of the image relative to the oscillating axis. Thus completely resolving the theoretical unification of the two compensatory modes of “inflection” and “translation” in the traditional automatic level leveling theory. Its most practical result is a universally applicable and extremely simple method for calculating the compensation effect of various types of compensators.