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在动力随动陀螺式位标器中,位标器的跟踪通常靠作用一个电磁力矩而使陀螺进动来实现的。此电磁力矩是一个旋转向量,如何分析位标器陀螺在旋转向量作用下的运动,是本文要解决的主要任务。本文第一部份提出了一个周期等效力矩的概念,并用陀螺进动运动的近似方程分析了φ=π/2的进动运动;本文第二部份用向量的空间关系分析了φ≠π/2时的进动运动;本文最后一部份用解微分方程组导出了位标器陀螺在电磁力矩旋转向量作用下的角位移解。本文对位标器陀螺的运动分析将对工程设计有参考作用。
In a powered gyro-type scaler, the tracking of the scaler usually takes place by applying an electromagnetic torque to cause the gyro to precess. This electromagnetic torque is a rotation vector, how to analyze the movement of the gyroscope in the rotating vector is the main task to be solved in this paper. In the first part of this paper, a concept of periodic equivalent torque is proposed and the precession motion of φ = π / 2 is analyzed by using the approximate equation of precession motion. The second part of this paper analyzes the relationship between φ ≠ π / 2 precession motion; the last part of this paper derives the angular displacement solution of the resolver gyroscope under the action of the electromagnetic torque rotation vector by using the differential equations. In this paper, the motion analysis of the indexer gyroscope will have a reference effect on the engineering design.