transfer function of gyroscope?

Answer 1

Transfer function implies having a mathematical formula. A gyroscope is a physical thing. What is your question ??? It's like asking for the equation of an apple.

Answer 2

Gyroscope, any rotating body that exhibits two fundamental properties: gyroscopic inertia, or “rigidity in space”, and precession, the tilting of the axis at right angles to any force tending to alter the plane of rotation. These properties are inherent in all rotating bodies, including the Earth itself. The term gyroscope is commonly applied to spherical, wheel-shaped, or disc-shaped bodies that are universally mounted, so as to be free to rotate in any direction; they are used to demonstrate these properties or to indicate movements in space. A gyroscope that is constrained from moving around one axis other than the axis of rotation is sometimes called a gyrostat. In nearly all its practical applications, the gyroscope is constrained or controlled in this way. The prefix gyro is customarily added to the name of the application, as, for instance, gyrocompass, gyrostabilizer, and gyropilot.

Determination of the transfer functions of a dynamically tunable gyroscope
Gyroscopic Inertia
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The rigidity in space of a gyroscope is a consequence of Newton's first law of motion (see Mechanics), which states that a body tends to continue in its state of rest or uniform motion unless subject to outside forces. Thus, the wheel of a gyroscope, when started spinning, tends to continue to rotate in the same plane about the same axis in space. An example of this tendency is a spinning top, which has freedom about two axes in addition to the spinning axis. Another example is a rifle bullet, which, because it spins in flight, exhibits gyroscopic inertia, tending to maintain a straighter line of flight than it would if not rotating. Rigidity in space can best be demonstrated, however, by a model gyroscope consisting of a flywheel supported in rings in such a way that the axle of the flywheel can assume any angle in space. However, the model is moved about, tipped, or turned at the will of the demonstrator, the flywheel will maintain its original plane of rotation as long as it continues to spin with sufficient velocity to overcome the friction with its supporting bearings.

Gyroscopes constitute an important part of automatic-navigation or inertial-guidance systems in aircraft, spacecraft, guided missiles, rockets, ships, and submarines. The inertial-guidance instruments in these systems comprise gyroscopes and accelerometers that continuously calculate the exact speed and direction of the craft in motion. These signals are fed into a computer, which records and compensates for course aberrations. The most advanced research craft and missiles also obtain guidance from so-called laser gyros, which are not really inertial devices but instead measure changes in counterrotating beams of laser light caused by changes in craft direction. Another advanced system, called the electrically suspended gyro, uses a hollow beryllium sphere suspended in a magnetic cradle. The remainder of this discussion deals with the conventional gyro.
III
Precession
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When a force applied to a gyroscope tends to change the direction of the axis of rotation, the axis will move in a direction at right angles to the direction in which the force is applied. This motion is produced jointly by the angular momentum of the rotating body and the applied force. A simple example of precession can be seen in the rolling hoop: to cause the hoop to turn a corner, guiding pressure is not applied to the front or rear of the hoop, as might be expected, but against the top. This pressure, although applied about a horizontal axis, does not cause the hoop to fall over, but to precess about the vertical axis, with the result that the hoop turns and proceeds in a new direction.