omu324-hw4-Revize - HACETTEPE UNIVERSITY Mechanical...

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System Dynamics & Control Homework # 4 Due Date: 05.04.2011 a) Obtain the governing differential equations of motion. b) Obtain the state space representation of the system. c) Obtain the transfer function. ) ( ) ( s F s X Note: J is the moment of inertia of the cylinder. a) Draw the free body diagrams for the block and shell and obtain the governing differential equations of motion. b) Obtain the state space representation of the system. c) Determine the following transfer functions. ) ( ) ( ) ( 1 1 s F s X s G = , ) ( ) ( ) ( 2 2 s F s X s G = 1) 2) HACETTEPE UNIVERSITY Mechanical Engineering Department f(t) J f(t): force which is input of the system 3 2 1 , , b b b : damping coefficients for friction. 4 b : damping coefficient of damper. 2 1 , X X : displacements which are outputs of the system. 2 1 , m m : Mass of the block and shell. ) ( t f
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R :Armature resistance i e : voltage input to armature L :Armature inductance b e : back electromotor force (emf) i : Armature current 1 θ : angular displacement of servomotor f i : Field current J : Moment of inertia T : Servomotor Torque Take 2 1 , J
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This note was uploaded on 04/01/2012 for the course MECHANICAL MMU-324 taught by Professor Çağlarbaşlamışlı during the Spring '12 term at Hacettepe Üniversitesi.

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omu324-hw4-Revize - HACETTEPE UNIVERSITY Mechanical...

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