Consider the following mechanical system: y m +f dy(t) d’y(t) +b dt dt + ky(t) = f (t) m Obtain the state space model of the system with input f(t) and output y(t) . Calculate the system matrices for m = 1, k = 1 and b = 2. Check the stability by using the second method of Lvapunov. 3.

Consider the following mechanical system: y m +f dy(t) d’y(t) +b dt dt + ky(t) = f (t) m Obtain the state space model of the system with input f(t) and output y(t) . Calculate the system matrices for m = 1, k = 1 and b = 2. Check the stability by using the second method of Lvapunov. 3.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Forced undamped vibrations

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Question

Consider the following mechanical system:
k
m
+f
b
d²y(t)
+b-
dy(t)
+ ky(t) = f (t)
m
%3D
dt?
dt
Obtain the state space model of the system with input f (t) and output y(t). Calculate
the system matrices for m = 1, k = 1 and b = 2.
Check the stability by using the second method of Lyapunov.
3.

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