超流体陀螺灵敏度和分辨率研究

Research on Sensitivity and Resolution of Superfluid Gyroscope

灵敏度和分辨率是新型高精度超流体陀螺的重要性能指标,对其进行分析研究具有重要意义。基于超流体陀螺的工作原理,研究陀螺灵敏度与工作曲线之间的关系;分析位移检测系统中薄膜的振动幅值,推导陀螺检测元件噪声的方程,构建陀螺分辨率的数学模型;研究热能量引起的超流体相位波动,推导陀螺热噪声的方程,构建陀螺极限分辨率的数学模型。结果表明:超流体陀螺分辨率主要由检测元件噪声决定,其极限分辨率由热噪声决定;超流体陀螺灵敏度和分辨率呈现周期性的变化,其极限分辨率保持恒定;利用相移控制系统,把工作点锁定在使灵敏度最高的位置,此时陀螺分辨率为10^-8(rad·s^-1)/Hz数量级,其极限分辨率可达10^-9(rad·s^-1)/Hz数量级。

Sensitivity and resolution are the important performance indexes of novel high accuracy superfluid gyroscope.Based on the operating principle of superfluid gyroscope,the relation between sensitivity and working curve is researched,the diaphragm vibration amplitude of displacement detecting system is analyzed,the equation of detecting element noise is deduced,and a mathematic model of resolution is established.Then the phase fluctuation of superfluid which is caused by thermal energy is researched,the equation of thermal noise is deduced,and a mathematic model of limiting resolution is established.Research results show that the resolution of superfluid gyroscope is determined by detecting element noise,and its limiting resolution is determined by thermal noise.The sensitivity and resolution of gyroscope change periodically,and its limiting resolution is constant.A phase shift control system is used to lock the working point of gyroscope at a position where there is the highest sensitivity,the resolution of gyroscope is 10^-8(rad·s^-1)/Hz and its limiting resolution is 10^-9(rad·s^-1)/Hz.