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# note9 - MEEN 364 Procedure for drawing the Bode Plot Notes...

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MEEN 364 Notes from Session on November 2, 2004 1 Procedure for drawing the Bode Plot Put the transfer function in the Bode form. Identify the corner frequencies. Plot the Bode magnitude and phase plots for each of the individual terms of the transfer function o For each term, identify the low frequency and the high frequency asymptote for both the magnitude and the phase. Combine the individual Bode plots to obtain the composite Bode plot. Add approximate effect of the damping ratio to the final Bode plot. 1) Draw the asymptotic Bode plot for the following transfer function. . ) 64 3 )( 6 ( ) 16 2 )( 2 ( 12 ) ( 2 2 2 + + + + + + = s s s s s s s s G Sol: The transfer function is converted to the following form by substituting w j s = , ( 29 ( 29 ( 29 ( 29 . 1 64 3 8 1 6 ) ( 1 16 2 4 1 2 64 ) ( 3 ) ( 6 ) ( 16 ) ( 2 ) ( 2 12 ) ( 2 2 2 2 2 2 + + + + + + = + + + + + + = w w w w w w w w w w w w w w w j j j j j j j j j j j j j j j G From the above transfer function, the corner frequencies can be obtained as . 8 , 6 , 4 , 2 4 3 2 1 = = = = w w w w The following plots depict the Bode magnitude plots of the individual terms in the transfer function.

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MEEN 364 Notes from Session on November 2, 2004 2 ) ( log 20 w j G 0 1.0 ϖ Slope of
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note9 - MEEN 364 Procedure for drawing the Bode Plot Notes...

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