Investigation on standing wave vibration of the imperfect resonant shell for cylindrical gyro

Standing wave vibration is the basic working mode for most vibratory shell gyros. In this paper, the standing wave vibration of the imperfect resonant shell for cylindrical gyro is investigated. The stability of the vibration is analyzed by building the imperfect ring model. Theoretical result shows that the offset of the vibration axis, which gives rise to the zero bias of the gyro, is affected synthetically by the frequency split, exciting force and damping coefficient. FEM simulation is employed to give a study of the vibration process of the imperfect shell. In addition, the factors which may affect the offset of the standing wave vibration are analyzed quantitatively. Experiments were set up to validate these influence factors by using vibration measurement equipments. Experimental results show that the frequency split affects the vibration offset significantly. The exciting force and damping coefficient have slight effect on the standing wave vibration. Simulated and measured results are in close agreement.