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Unformatted text preview: m 2 m 1 v 2 v 1 f(t) k b c friction b 2 friction b 1 Input = f(t) , output = v 2 State variables: v 1 (reflects kinetic energy stored in m 1 ) v 2 (reflects kinetic energy stored in m 2 ) spring displacement x , stretch positive (reflects energy stored in spring) Basic equations: 2 1 2 2 1 1 v v x m forces v m forces v = = = & & & State space equations (not cleaned up, x & not eliminated): 2 2 1 2 2 2 2 1 1 1 1 ) ( v out v v x m v b x b kx v m v b x b kx t f v c c = = + = = & & & & & Resulting simulation diagram: State space equations (in proper form): 2 2 1 2 2 2 2 1 2 2 1 1 2 1 1 1 1 1 ) ( 1 v output v v x x m k v m b b v m b v t f m x m k v m b v m b b v c c c c = = + + = + + + = & & & Resulting simulation diagram: Block Diagram Reduction, Step #1 Split Combine Combine Split Combine Block Diagram Reduction, Step #2 Reduce Reduce Block Diagram Reduction, Step #3 Reorganize Block Diagram Reduction, Step #4 Reduce Block Diagram Reduction, Step #5 Move the takeoff point as shown. Block Diagram Reduction, Step #6 Combine two blocks in series....
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This note was uploaded on 07/16/2009 for the course SYSC 3600 taught by Professor John bryant during the Winter '08 term at Carleton CA.
 Winter '08
 John Bryant

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