The equation of motion for a damped multidegree of freedom system is given by Where [m] = [m]{x} + [c]{x} + [k]{x} = {f} [100 0 0 0 10 0 0 0, [c]= 100-2 10] 0 8 -4 0 8 -4 - 4 4 1000-4 0 {f} = 4 -2 0 Focos(wt) 4 -2, [k] = 2 -2 The value of Fo= 50N and w = 50 rad/sec. Assuming the initial conditions to be zero and using the modal coordinate approach, find out the steady state solution of the system in the modal coordinate for first mode. Plot the steady state solution using the computational tools.
The equation of motion for a damped multidegree of freedom system is given by Where [m] = [m]{x} + [c]{x} + [k]{x} = {f} [100 0 0 0 10 0 0 0, [c]= 100-2 10] 0 8 -4 0 8 -4 - 4 4 1000-4 0 {f} = 4 -2 0 Focos(wt) 4 -2, [k] = 2 -2 The value of Fo= 50N and w = 50 rad/sec. Assuming the initial conditions to be zero and using the modal coordinate approach, find out the steady state solution of the system in the modal coordinate for first mode. Plot the steady state solution using the computational tools.
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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Question
![2. The equation of motion for a damped multidegree of freedom system is
given by
Where [m]
=
[m]{x} + [c]{x} + [k]{x} = {f}
[100
=
0
0 0
10
0 10.
1000-4
{f}
[c]
8 –4 0
8
– 4
-4
4
0
8
4
= 100 2
0
=
Focos(wt)
-2
-2
The value of Fo
50N and w
50 rad/sec. Assuming the initial
conditions to be zero and using the modal coordinate approach, find out the
steady state solution of the system in the modal coordinate for first mode. Plot
the steady state solution using the computational tools.
0
−2], [k] =
=
2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F27134505-b65c-4de2-b6d1-83a314db2633%2Fa732701b-36a3-4bdb-94c1-b6881027d0c7%2Fxcw02yj_processed.png&w=3840&q=75)
Transcribed Image Text:2. The equation of motion for a damped multidegree of freedom system is
given by
Where [m]
=
[m]{x} + [c]{x} + [k]{x} = {f}
[100
=
0
0 0
10
0 10.
1000-4
{f}
[c]
8 –4 0
8
– 4
-4
4
0
8
4
= 100 2
0
=
Focos(wt)
-2
-2
The value of Fo
50N and w
50 rad/sec. Assuming the initial
conditions to be zero and using the modal coordinate approach, find out the
steady state solution of the system in the modal coordinate for first mode. Plot
the steady state solution using the computational tools.
0
−2], [k] =
=
2
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