有缺陷圆柱壳振型进动的研究

 谐振陀螺是一种不存在高速转子和活动支承的新型陀螺仪。其敏感部件是一个轴对称壳谐振子,圆柱壳便是其中一种。本文建立了圆柱壳在旋转情况下的动力学方程。研究了有缺陷的圆柱壳谐振子振型的进动情况;分析了其环向振型进动因子的相对扰动和绝对扰动;给出了圆柱壳谐振子环向缺陷对其振型进动特性的影响规律及实际加工,选择谐振子的准则。这些对于设计谐振陀螺有指导意义。

STUDY ON THE PRECESSION OF VIBRATING SHAPE FOR FLAWED CYLINDRICAL SHELL

The resonator gyro is a new type of gyro without spinning-wheel and bearing. Its sensing component is an axisymmetric shell resonator, and the cylindrical shell may be onc of the practical resonator. The vibrating shape of the cylindrical shell resonator precesses in the circumferential direction of the above shell as the resonator rotating at its central axis. And the precession of the vibrating shape in the circumferential direction provides the feasibility of measuring the angular velocity and displacement of the vehicle. This paper studies the precebility of vibrating shape as the deficient cylindrical shell resonator rotating. The relative and absolute error of the precession factor of the vibrating shape in the circumferential direction is analysed, and the principle for selecting and manufacturing the above resonator is given. The obtained results are of practical significance for designing and developing the resonator gyro.