1- Please, Derive Equation of Motion for the 2DOF system with Harmonic force due to the Shaker in the Magnetostrictive Energy Harvesting. Note: I want EOM in Matrices form to get Natural frequencies and mode shapes + Steady-State Response of Spring-Mass System

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1- Please, Derive Equation of Motion for the 2DOF system with Harmonic force due to the Shaker in the Magnetostrictive Energy Harvesting.

Note: I want EOM in Matrices form to get Natural frequencies and mode shapes + Steady-State Response of Spring-Mass System

х1
Focos(wt)
x2
m
mtip
k2
k1
Transcribed Image Text:х1 Focos(wt) x2 m mtip k2 k1
Expert Solution
Step 1

From the given figure,

By applying the mechanical modelling method for the translational system,

X1(s)=K1x1+mtipd2x1dt2+Focos(wt)---(1)

X2(s)=K1x1+K2x2+mtipd2x1dt2+md2x2dt2+Focos(wt)---(2)

 

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