| The ball rotor device is a typical fuze primary explosive safety device, and it can realize arming delay with optimized design. The ball rotor has the advantages of simple construction, convenient manufacture and small size, so it applized widely in fuze of domestic and overseas anticraft gun, aircraft connon, naval gun and so on.In order to research on theory of fuze ball rotor deeply, and guidance the design for engineering better, mathematical model of the rotating motion, spin eccentricity, numerical analysis of the mathematical model and experimentation of ball rotor are researched. The mathematical model of the rotating motion of ball rotor is established with quaternion method, the movement differential equations of ball rotor are obtained in the form of quaternion, the fantasticality of the mathematical model of establisher with Euler method is conquered. The distribution of the fuze ball rotor device's coaxiality error is analysed with Monte-Carlo method, The result shows that the coaxiality error obeys Rayleigh distribution for correlational principle, and the distribution of spin eccentricity is obtained by simulation. The differential equations of Euler method model and quaternion method model are simulated on numerical value in turn with Runge-Kutta method and Gear method, the precision and the computation time are compared, and the result shows the Gear method has better precision and shorter computation time, at the time of the same precision, the computation time of Gear method is only about half of Runge-Kutta method. The two kinds of mathematical model (Euler method and quaternion method) are analysed in turn with Gear method, and the results are same, but at the time of the same precision for numerical results, the computation time of quaternion method model is long about one time. The trochoids of ball rotor are obtained by design an experimentation, and they are same basically with the simulation results, it suggested that the mathematical model can actually shaw the movement of ball rotor. |