Cross-Axis Coupling Effects in Single-Axis Nuclear Magnetic Resonance Gyroscopes
Cross-Axis Coupling Effects in Single-Axis Nuclear Magnetic Resonance Gyroscopes
复制标题
单轴核磁共振陀螺仪中的交叉轴耦合效应
作者：
Wang Zhiguo;Zhang Yi;Zhan Xiang;Jiang Qiyuan;Luo Hui
核磁共振陀螺仪（NMR Gyroscope，NMRG）可以在具有通常包含线性分量和角分量的剧烈振动的环境中操作。为了分析角振动对非磁流变陀螺的影响，研究了交叉轴耦合效应。交叉轴旋转速率感应等效磁场。其影响可用Bloch方程描述。通过数值模拟，得到了十字轴上有等效磁场时自旋振子的近似频移和振幅。研究结果表明，角振动分量导致了一个显着的误差为NMRG。当角振动频率接近拉莫尔频率时，自旋的振荡频率可能被锁定到角振动频率，破坏了NMRG测量旋转速率的能力。在设计非磁流变陀螺及相应的惯性导航系统时，必须考虑互轴耦合问题。
Nuclear magnetic resonance gyroscopes (NMRGs) may be operated in an environment with violent vibration that usually contains both linear components and angular components. To analyze the influence of angular vibration on an NMRG, cross-axis coupling effects are studied. The cross-axis rotation rates induce an equivalent magnetic field. Its influence can be described by the Bloch equations. The approximate frequency shift and amplitude of the spin oscillator with an equivalent magnetic field in the cross-axis were obtained, which was validated by numerical simulation. The findings show that the angular vibration component leads to a remarkable error for the NMRG. When the angular vibration frequency is near the Larmor frequency, the oscillation frequency of the spins may be locked to the angular vibration frequency, destroying the NMRG’s ability to measure rotation rates. The cross-axis coupling problem should be considered in the design of an NMRG and corresponding inertial navigation systems.