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Unformatted text preview: (33.33%) Consider the following DC motor/gear system where
ia= armature current
if =constant field current
ea(t)= applied voltage
ω1=angular velocity of motor shaft
θ1 , θ2 = angular displacement of motor shaft (gear 1) and
gear 2 respectively.
T = Torque generated by the motor
J1 , J2 = moment of inertia of the rotor and the load
n1 , n2 = number of teeth of gears 1 and 2 respectively. (a) Neglect the effects of friction, show that the equation of motion for the gearbox (within the
dashed box) has the form J eqω1 = T , and find the equivalent J eq . See text Example 3-12
(b) Treat the rotor/gearbox/load (within the dashed box) as an equivalent moment of inertia J eq ,
derive the transfer function between the output θ2 and the input ea. See text Example A-4-9  (33.33%) For the following circuit, e(t ) = 12 volts, R2 R3
= 2 , and CR3 = 1 . Find e A (t )
R1 R1 and e B (t ) when the switch is suddenly closed.
See also textbook pages 142 and 143 for other methods.
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This note was uploaded on 10/15/2012 for the course ME 3015 taught by Professor Ueda during the Spring '08 term at Georgia Tech.
- Spring '08
- Mechanical Engineering