ME3514_Transfer_Functions

# ME3514_Transfer_Functions - ME 3514 Transfer-Function...

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ME 3514 Transfer-Function Approach se ransfer unction nd lock iagram odel nd Objective Use Transfer Function and Block Diagram to model and analyze mechanical systems. Explore transient response of systems using transfer function with application of MATLAB Transfer Function Topics Block Diagram Transient Response Analysis using TF with MATLAB R. Burdisso 1 Unit Impulse (Delta) Function

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ME 3514 Transfer-Function Approach Definition Transfer Function (TF) =    s X s Y s G [output] [input] Zero Initial Conditions ) ( ) ( ) ( s G s X s Y (s) can be computed or measured Conditions of Applicability G(s) can be computed or measured ‘s’ (Laplace) Domain Initial Conditions must be set to zero R. Burdisso 2 Linear, Constant Coefficient, Differential Equations
ME 3514 Transfer-Function Approach Example k c t) Find TF of M-K-C system m   t f kx x c x m f(t) Step 1: EOM (include general form of input) x Step 2: Taking Laplace Transform of EOM with all ICs=0       s F s X k cs ms 2 Step 3 Find TF (when output is the displacement) s R. Burdisso 3    2 1 () Gs Fs m s c s k 

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ME 3514 Transfer-Function Approach Find TF of M-K-C system Example Step 3 Find TF (when output is the velocity) p( p y )  2 () sX s s Gs s m s c s k    Fs  Step 3
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## This note was uploaded on 10/05/2011 for the course ME 3514 at Virginia Tech.

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ME3514_Transfer_Functions - ME 3514 Transfer-Function...

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