The displacement amplitude u, of an SDF system due to harmonic force is known for two excitation frequencies. At w=w, u₁= 15 cm; at w=5wn, up = 0.06 cm. Estimate the damping ratio of the system.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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PROBLEM2:
The displacement amplitude u, of an SDF system due to harmonic force is known for two excitation
frequencies. At w=wn, up = 15 cm; at w=5w, u, = 0.06 cm. Estimate the damping ratio of the system.
@=
PROBLEM3:
Find the response of the rigid bar shown in Figure 2 when the end P of the spring PQ is subjected to the
displacement, x(t) = xoSin10t. Data: k 500, 1 = 1 m, m = 10 kg, xo = 1 cm.
N
=
m
00000
Uniform bar,
mass m
-
Li+
Figure 2-Rigid bar undergoing rotational motion
Transcribed Image Text:PROBLEM2: The displacement amplitude u, of an SDF system due to harmonic force is known for two excitation frequencies. At w=wn, up = 15 cm; at w=5w, u, = 0.06 cm. Estimate the damping ratio of the system. @= PROBLEM3: Find the response of the rigid bar shown in Figure 2 when the end P of the spring PQ is subjected to the displacement, x(t) = xoSin10t. Data: k 500, 1 = 1 m, m = 10 kg, xo = 1 cm. N = m 00000 Uniform bar, mass m - Li+ Figure 2-Rigid bar undergoing rotational motion
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