The forced damped Duffing equation is given by x''+2x' + x + =fsinrtao Use the harmonic balance

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The forced damped Duffing equation is given by

x''+2ςx' + x +ε =fsinrtao

Use the harmonic balance method to solve the equation of motion and find the steady state solution. Then solve equation of motion numerically using MATLAB ODE solver ODE45, for initial conditions which are:

x'(0)=0, x(0)=0.85

ξ=0.38

f=0.34+(0.1:0.1:0.5)

r=(0.4:0.4:2.2)

Show the full working out including the MATLAB code.

Posted Date: Dec 28, 2021 12:20 PM

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The forced damped Duffing equation is given by x''+2x' + x + =fsinrtao Use the harmonic balance

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Expert Answer:

Answer The MAtlab code Parameters xi 038 Damping ratio epsilon 01 Forcing amplitude frequencies 034 ... View the full answer

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