Solving the Coriolis Vibratory Gyroscope Motion Equations by Means of the Angular Rate B-Spline Approximation

The exact solution of the movement equation Coriolis vibratory gyroscope (CVG) with a linear law variation angular rate rotation base is given. expressed in terms Weber functions (the parabolic cylinder functions) and their asymptotic representations. On basis obtained solution, an analytical to ring dynamics case piecewise approximation arbitrary velocity profile on time grid derived. compared more rough constant dependence error such approximations sampling step estimated numerically. results make it possible significantly reduce number operations when necessary study long-range oscillations system, as well quantitatively qualitatively control convergence finite-difference schemes for solving equations gyroscope.