Question

Derive the frequency response of the low-pass filter of Figure 6.45 . 

   Derive the frequency response of the low-pass filter of Figure 6.45 .
Principles and Applications of Electrical Engineering
Principles and Applications of Electrical Engineering
Giorgio Rizzoni,… 7th Edition
Chapter 6, Problem 71 ↓
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Derive the frequency response of the low-pass filter of Figure 6.45 .
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derive-the-frequency-equation-of-the-system-shown-in-fig-629

Derive the frequency equation of the system shown in Fig. 6.29 .

Mechanical Vibrations in SI Units

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00:01 In figure 629, there's three masses, four springs, and free vibration.
00:06 So if we let x be the vector x1, x2, x3 transpose, then matrix m is equal to the diagonal m1, m2, m3, and the stiffness matrix k is the 3x3 matrix k1 plus k2, negative k2, 0 for row 1.
00:31 Row 2 is negative k2, k2 plus k3, negative k3, and row 3 is 0, negative k3, k3 plus k4...
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