Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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(1) A rigid bar (OA)with mass m and length L is simply supported at
one end and free at the other end .A lumped mass M fixed at the
end of A is subjected to a vertical harmonic excitation f(t). Two
springs (k) are connected at the length a and b of the bar. Please
calculate the natural frequency and response vibration of the
system. (Figure 1)
Note: m=10kg, L=1 m, a=0.25m, b=0.5m, k-5000N/m, M=50kg,
f(t)=Fcos.Qt (F=500N, Q=1000rpm). The vibration is very small.
a
b
k
L
k
+
m
M
Figure 1: Single Degree Vibration System+
f(1)
A
X
(2) Please write out the Equation of Movements of the following system
using matrix. (Figure 2)
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Transcribed Image Text:(1) A rigid bar (OA)with mass m and length L is simply supported at one end and free at the other end .A lumped mass M fixed at the end of A is subjected to a vertical harmonic excitation f(t). Two springs (k) are connected at the length a and b of the bar. Please calculate the natural frequency and response vibration of the system. (Figure 1) Note: m=10kg, L=1 m, a=0.25m, b=0.5m, k-5000N/m, M=50kg, f(t)=Fcos.Qt (F=500N, Q=1000rpm). The vibration is very small. a b k L k + m M Figure 1: Single Degree Vibration System+ f(1) A X (2) Please write out the Equation of Movements of the following system using matrix. (Figure 2)
Note: Lagrange's approach is recommended.
P₂(t)
k₁
k5
www
P₁(t)
k₂ m₂
wwwm,ww
m₁
k3
k6
www
P3(t)
k₁
wwwm3wWw
Figure 2: N Degree Vibration System
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Transcribed Image Text:Note: Lagrange's approach is recommended. P₂(t) k₁ k5 www P₁(t) k₂ m₂ wwwm,ww m₁ k3 k6 www P3(t) k₁ wwwm3wWw Figure 2: N Degree Vibration System
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