TY - JOUR AU - Islamov, R. AB - ELASTICALLY PRECESSION OF A GYROSCOPE WITH COUPLED GIMBALS K. G. Valeev and R. R. Islamov UDC 531.388 We will consider the precession caused by nutational vibrations of a balanced gyroscope mounted in a Cardan suspension on a stationary base. It will as assumed that a spring fastened to the outer gimbal exerts a load on the inner gimbal. w 1. We use systems of coordinates with a common origin at point O. Let Ox0Y0z 0 be the stationary system, while Oxiylz 1 and Oxyz are rigidly tied respectively to the outer and the inner gimbal of the gyro- scope. The position of the gyroscope will be defined by angles a,/3, and r as shown in Fig. 1, where a is the rotation angle of the outer gimbal, /3 is the rotation angle of the inner gimbal, and r is the spin angle of the rotor in the housing, The principal moments of inertia of the rotor and of the inner gimbal with respect to axes x, y, z will be denoted respectively by A, A, C and A1, ]31, C 1. The moment of inertia of the outer gimbal with respect to axis x 0 is I. The kinetic TI - Precession of a gyroscope with elastically coupled gimbals JF - International Applied Mechanics DO - 10.1007/BF00888601 DA - 2004-12-11 UR - https://www.deepdyve.com/lp/springer-journals/precession-of-a-gyroscope-with-elastically-coupled-gimbals-PUrZCKRnHB SP - 760 EP - 763 VL - 7 IS - 7 DP - DeepDyve ER -