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超流体量子干涉陀螺采用热驱动方式时,陀螺内部流量、压强、温度多参数变化及相互影响,致使加热电阻功率与超流体在弱连接处形成的约瑟夫森频率关系复杂。为了保证陀螺持续稳定的工作在约瑟夫森频率下,必须对陀螺内部约瑟夫森频率的形成机理进行精确建模。针对超流体陀螺热驱动工作方式,首先,从陀螺内腔流体的熵变角度出发,建立了陀螺的温度变化、压强变化和输入-输出模型;然后,仿真分析了在恒定加热电阻功率和线性时变加热电阻功率时超流体陀螺温度和压强随时间的变化特性,对比不同加热电阻功率对陀螺的化学势差和约瑟夫森频率的影响,得出加热电阻功率的工作区间以及约瑟夫森频率的范围;最后,探索分析了约瑟夫森频率对超流体陀螺输出和陀螺精度的影响。
Due to the multi-parameter changes of flow, pressure and temperature inside the gyroscope, the relationship between the heating resistance power and the Josephson frequency formed by the superfluid at the weak junction is complicated when the superfluid quantum interference gyro is driven by the heat. In order to ensure that the gyroscope is constantly stable at the Josephson frequency, the formation mechanism of the Josephson frequency within the gyroscope must be precisely modeled. According to the thermal driving mode of the superfluid gyroscope, firstly, based on the entropy change of the fluid in the gyroscope, the temperature change, pressure change and input-output model of the gyroscope are established. Then, When the heating resistance power is changed, the temperature and pressure of the superfluid gyro change with time. Comparing the influence of the heating resistance power on the chemical potential difference of the gyro and the Josephson frequency, the working range of the heating resistance power and the range of the Josephson frequency are obtained. Finally, the influence of Josephson frequency on the output and gyro accuracy of the super-hydro-gyro is explored and analyzed.