# l36 - 16.06 Lecture 36 Bode Diagrams Karen Willcox December...

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16.06 Lecture 36 Bode Diagrams Karen Willcox December 3, 2003 Today’s Topics 1. Simple Lag 2. Quadratic Lag 3. Bode diagram construction 4. Bode diagram examples Reading : 7.5 1

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1 1 Simple Lag 1 Consider a simple lag term: S j ω T +1 = M = M dB = φ = If ω<< 1 /T , ωT << 1 M M dB φ This gives us the If ω>> 1 /T , ωT >> 1 M M dB φ This gives us the 2
Draw the asymptotic approximation: The asymptotes meet at the break frequency or corner frequency . If ω =1 /T ωT = M = M dB = φ = 3

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Insert Bode diagram for a simple lag 4
Some details of ﬁrst-order factors: 1. The true curves depart from the asymptotic approximations by ± 0 . 15 log units or ± 3dBat ω =1 /T . 2. One octave below the break frequency the angle is 26 . 6 3. One octave above the break frequency the angle is 90 + 26 . 6= 63 . 4 4. One decade below the break frequency the angle is 5 . 7 5. One decade above the break frequency the angle is 90+5 . 7= 84 . 3 5

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## This note was uploaded on 11/06/2011 for the course AERO 100 taught by Professor Willcox during the Fall '03 term at MIT.

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l36 - 16.06 Lecture 36 Bode Diagrams Karen Willcox December...

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