Exercise 1: Undamped free vibration. Using scipy.integrate.odeint or scipy.integrate.solve ivp determine an approximation of solutions of the initial value problem u′′ + 2u = 0, u(0) = 0, u′(0) = 2 for 0 < t < 10 and plot the solutions via its approximation. Determine the amplitude, period and phase angle of the oscillatory vibration. Exercise 2: Damped free vibration. Using scipy.integrate.odeint
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Exercise 1: Undamped free vibration. Using scipy.integrate.odeint or scipy.integrate.solve ivp determine an approximation of solutions of the initial value problem
u′′ + 2u = 0, u(0) = 0, u′(0) = 2
for 0 < t < 10 and plot the solutions via its approximation. Determine the amplitude, period and
phase angle of the oscillatory vibration.
Exercise 2: Damped free vibration. Using scipy.integrate.odeint or scipy.integrate.solve ivp determine an approximation of solutions using
u′′ +(1/4)u′ + 2u = 0, u(0) = 0, u′(0) = 2
for 0 < t < 10 and plot the solution via its approximation. Determine the quasiperiod and phase
angle of the oscillatory vibration.
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