The EOM for the following 1-DOF gyroscope JÖ + BO + KO = Hw is: w is the angular velocity of the gyroscope about the input axis, is the angular position of the spin axis, H is the angular momentum stored in the spinning wheel, J is the mass moment of inertia of the wheel about the output axis, B is the viscous friction coefficient about the output axis, and K is the spring constant of the restraining spring attached to the spin axis. Determine the transfer function relating output to the input w. Case K spin axis output axis BD Go Wheel spins at constant velocity input axis

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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The EOM for the following 1-DOF gyroscope is:
JÖ + BO + KO = Hw
w is the angular velocity of the gyroscope about the input axis,
is the angular position of the spin axis, H is the angular
momentum stored in the spinning wheel, J is the mass moment
of inertia of the wheel about the output axis, B is the viscous
friction coefficient about the output axis, and K is the spring
constant of the restraining spring attached to the spin axis.
Determine the transfer function relating output to the input w.
Case
K
spin axis
output axis
BOD
Go
Wheel spins at
constant
velocity
input axis
Transcribed Image Text:The EOM for the following 1-DOF gyroscope is: JÖ + BO + KO = Hw w is the angular velocity of the gyroscope about the input axis, is the angular position of the spin axis, H is the angular momentum stored in the spinning wheel, J is the mass moment of inertia of the wheel about the output axis, B is the viscous friction coefficient about the output axis, and K is the spring constant of the restraining spring attached to the spin axis. Determine the transfer function relating output to the input w. Case K spin axis output axis BOD Go Wheel spins at constant velocity input axis
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