2. Determine the eigenvalues of the following transfer functions; list the time constants and the damped natural frequency of the eigenvalues; if an eigenvalue complex pair exists, give the damping ratio and undamped natural frequency. (a) 놈 %3 D+1 (b) % 6D²+28D+150 2D3+16D²+74D+100 %3D (c) 높: N(D) (D+1)[(D+3)²+4²(D+75)²+75²])

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. Determine the eigenvalues of the following transfer functions; list the time constants
and the damped natural frequency of the eigenvalues; if an eigenvalue complex pair
exists, give the damping ratio and undamped natural frequency.
(a) 7
Y
U
1
D+1
(b) ¥
6D²+28D+150
2D3+16D²+74D+100
(c)
N(D)
(D+1)[(D+3)²+4²][(D+75)²+75²])
Transcribed Image Text:2. Determine the eigenvalues of the following transfer functions; list the time constants and the damped natural frequency of the eigenvalues; if an eigenvalue complex pair exists, give the damping ratio and undamped natural frequency. (a) 7 Y U 1 D+1 (b) ¥ 6D²+28D+150 2D3+16D²+74D+100 (c) N(D) (D+1)[(D+3)²+4²][(D+75)²+75²])
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