浅析影响悬挂式陀螺仪悬挂带摆动的因素

Kinematic analysis of the suspended band for the suspended two-degree-of-freedorm gyrocompass

陀螺经纬仪的核心部件是悬挂式二自由度陀螺仪,以悬挂式二自由度陀螺仪为研究对象,建立了力学模型,用质心运动定理和欧拉动力学方程建立了悬挂式陀螺仪的运动控制方程,通过合理的简化、计算得出在陀螺经纬仪寻北的过程中,悬挂式二自由度陀螺仪悬挂带摆动的角度与悬挂带下悬挂点到陀螺房重心的距离成正比,与悬挂带长度成反比。这对进一步由二自由度陀螺仪改造设计单自由度陀螺罗盘仪具有指导意义。

Suspended two-degree-of-freedom gyrocompass is the main part of gyro-theodolite, thus it is significant to analyze the factors that cause the motion of the gyrocompass. By regarding the part of casting as a rigid body,the mechanical model is given. The control equation of the suspended band for the suspended two-degree-of-freedom gyrocompass are obtained by theorem of the motion of center-of-mass and Euler kinetics equation. The influence of the length of the suspended band is also analysed as well as the distance between the end of suspended band and the center of the casting on the pendulum of the suspended band.