if(zeta<1)

display(‘under damped system')

u=u0*sin(omega_n*t)+(v0/omega_n)*cos(omega_n*t)

end

plot(t,u)

[T,u]=ode45(@ex631f,[0,20],[0.1,0.01]

Xlabel

Ylabel

Title

function

Ex631f

2. Find the response of a single degree of freedom system with Hysteretic damping. The equation of motion in this case is given by.

3. Find the response of a single degree of freedom system with material damping by considering (a) Maxwell model (spring and dashpot in series, (b) Kelvin-Viogot Model spring and dashpot in parallel. Consider soft spring with cubic nonlinearity in both the cases.