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Simplify the gyro rotor into a hollow disk, each particle in the disk circular motion around the z axis with High speed. At same time, it around y axis rotation follows the disc. That is, the disk does not rotation, but each particle in the rotor circular motion relative to the disk, at the same time, it rotate with the angular velocity ω follows the disc. On the basis of the simplified model, apply the knowledge on the synthetic movement of theoretical mechanics; research each particle acceleration in the gyro rotor. Then according to the Newton's law to analysis the force situation of each particle in the rotor, to reveal the mechanical essence of nutation and precession characteristics of the Gyro rotor. Then, according to the situation of the applied forces on each particle in the rotor, reveal mechanics essence of nutation and precession characteristics of the gyro. Characteristics of the Gyro After a high-speed free rotating gyroscope transient is disturbed, its axis deviation. But after the deviation from the axis of rotation for a period of time, the rotation shaft gradually returned to the pre disturbance location. If applying a couple in a free rotating gyro rotor, not as people imagine, the rotor will produce rotation around perpendicular vectors applied couple axis. Above two phenomena known as the nutation and precession are strange. However, how it happened? What is the essence of its mechanicsa? The many relevant present information state it from the Euler equations, little involve mechanical essence. It result the people on the properties of gyroscope some doubts. In this paper, from the angle of inertial coordinate system. First, apply synthetic motion knowledge to analysis the each particle acceleration of gyro rotor. Then, according to the stress situation of each particle of the rotor on the Newton's law, reveal the mechanical essence of gyro nutation and precession characteristics, and combined with concrete examples to illustrate, Is easy to understand and trust. The Simplified Model and the Motion Analysis of the Particles of a Free Gyro Rotor The Simplified Model and Object of Study The gyro rotor with the high speed free rotate (three degree of freedom gyro), its initial state see Figure 1. The rotor rotates around the axis z with high-speed rotation angular velocity Ω. After being disturbed, it produced a rotation angular velocity ω around the vertical axis y. And ω⊥Ω, ω is far less than Ω. See Figure 1, o-xyz is the inertial coordinate system (the earth can be regarded as the inertial coordinate system). At some moment, assume the direction of angular velocity Ω of the disk coincides with coordinate axis z, and the direction of disturbed angular velocity ω coincide with the coordinate axis y. The each particle of rotor motion with high-speed in a circular around the axis z, at same time follow the rotor to rotate around the coordinate axis y. The gyro rotor can be simplified as homogeneous disc, assume that the disk without rotation, and each particle relative to the disc in a circular motion. At same time each particle motion in a circle of the disc with angular velocity rotation around y axis. The disc is the object of our study. The rotor rotates around the axis z with high-speed rotation angular velocity Ω. After being International Conference on Mechanics and Civil Engineering (ICMCE 2014) © 2014. The authors Published by Atlantis Press 524 disturbed, it produced a rotation angular velocity ω around the vertical axis y. And ω⊥Ω, ω is far less than Ω. See Figure 1, o-xyz is the inertial coordinate system (the earth can be regarded as the inertial coordinate system). At some moment, assume the direction of angular velocity Ω of the disk coincides with coordinate axis z, and the direction of disturbed angular velocity ω coincide with the coordinate axis y. The each particle of rotor motion with high-speed in a circular around the axis z, at same time follow the rotor to rotate around the coordinate axis y. The gyro rotor can be simplified as homogeneous disc, assume that the disk without rotation, and each particle relative to the disc in a circular motion. At same time each particle motion in a circle of the disc with angular velocity rotation around y axis. The disc is the object of our study. Fig. 1 The Object of Study Fig.2 The Relative Velocity of Particle Analysis of the Motion of Each Particle on the Gyro Rotor By the knowledge of theory mechanics can know, the each particle of the disk is at synthetic motion. We selected the particle as a motion point, motion coordinate system fixed on the disc with angular velocity ω around axis y rotation, fixed coordinate system is o-xyz. Then the circular motion around the axis z of a particle is the relative motion, the particle rotate with the disk around y axis is implicated movement. In order to describe simple and clear, selected 4 particles, its mass is m1, m2, m3, and m4, its position is symmetrical, represent all the particles on the disc. See figure 2 Next we will analysis the acceleration of the 4 particles. The velocity vl, v2, v3 and v4 is the relative velocity of 4 particle (That is the circular motion velocity of particle). Its ranges and the disc are in a same plane. According to the composition theorem of acceleration while Implicate motion as rotational motion, Absolute acceleration of the points equal to the vector sum of its relative acceleration , transport acceleration and Coriolis acceleration. Fig.3 Each Article Acceleration See figure 3. ri is the distance from each particle to the rotation z axis, θ is the angle between ri and x axis. The particle mi relative acceleration ari=riΩ2, Pointing to the origin O; The particle mi transport acceleration aei= riω2cosθ, its direction and perpendicular to the y axis; According to the

Study on the Mechanical Essence of Gyro Characteristics