Application of the atomic function in the field of HRG dynamics

Hemispherical resonator gyro (HRG) is a kind of high precision gyro that has wide application perspective. It´s working bases on inertia of excited standing wave of rotatory symmetric enclosure. This paper is focus on the basic principle of atomic function, which is based on R-function. Atomic function has a series of advantages. Later, I will show several resolutions of the function of up(x). Meanwhile, I also give another atomic function fup_n (x), and use fup_n (x) to analyze the vibration model based on the dynamics. Finally, the simulation result was given