Equation of motion of a 2 DOF system is given below: Mä + Kr = F where the mass matrix is defined as: 10 M 0 20 and the stiffness matrix is defined as: 3000 -1000 K = -1000 5000 This system is excited by a frequency squared harmonic force. This frequency squared harmonic force is defined as: 10w x cos(wit) F = 20w x cos(wat) | where w = 10rad/s and wa = 20rad/s Calculate the steady-state response of the system.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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Equation of motion of a 2 DOF system is given below:
Mä + Kr = F
where the mass matrix is defined as:
10
M =
20
and the stiffness matrix is defined as:
3000
-1000
K =
1000
5000
This system is excited by a frequency squared harmonic force. This frequency squared harmonic force is defined as:
10w; x cos(wit)
F =
20w x cos(wzt)]
where
wi = 10rad/s and w2 = 20rad/s
Calculate the steady-state response of the system.
Important Notice: Do not use impedance method. Use modal analysis and principle of superposition otherwise you won't get any credit from this question.
Transcribed Image Text:Equation of motion of a 2 DOF system is given below: Mä + Kr = F where the mass matrix is defined as: 10 M = 20 and the stiffness matrix is defined as: 3000 -1000 K = 1000 5000 This system is excited by a frequency squared harmonic force. This frequency squared harmonic force is defined as: 10w; x cos(wit) F = 20w x cos(wzt)] where wi = 10rad/s and w2 = 20rad/s Calculate the steady-state response of the system. Important Notice: Do not use impedance method. Use modal analysis and principle of superposition otherwise you won't get any credit from this question.
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