The figure below shows an electrical motor driving a load that has one dominant vibration mode. This is a typical problem in electromechanical position control such as computer-disk-head control. The motor has an electrical constant Kẹ, a torque constant Kt, an armature inductance La, and a resistance Ra. The rotor has inertia J1 and a viscous friction B. The load has inertia J2. The two inertias are connected by a shaft with a spring constant K and an equivalent viscous damping b.

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The figure below shows an electrical motor driving a load that has one dominant
vibration mode. This is a typical problem in electromechanical position control such
as computer-disk-head control. The motor has an electrical constant Ke, a torque
constant Kt, an armature inductance La, and a resistance Ra. The rotor has inertia J1
and a viscous friction B. The load has inertia J2. The two inertias are connected by a
shaft with a spring constant K and an equivalent viscous damping b.
La
Ra
Va
k, b
02
J2
a) Write the equations of motion.
b) Compute the transfer function from the motor voltage to position 02.
Transcribed Image Text:The figure below shows an electrical motor driving a load that has one dominant vibration mode. This is a typical problem in electromechanical position control such as computer-disk-head control. The motor has an electrical constant Ke, a torque constant Kt, an armature inductance La, and a resistance Ra. The rotor has inertia J1 and a viscous friction B. The load has inertia J2. The two inertias are connected by a shaft with a spring constant K and an equivalent viscous damping b. La Ra Va k, b 02 J2 a) Write the equations of motion. b) Compute the transfer function from the motor voltage to position 02.
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