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Unformatted text preview: ME163 Mechanical Vibrations (Winter 2009) HW5 Due 2.12.09 in class25% if late within 24 hours50% if later than that 1. Forced Vibration, The Complete Solution. Consider the direct forced vibration system: ¨ x + 0 . 5 ˙ x + 25 x = 1 . 55sin(8 t ) (1) (a) Derive the analytical expression for the total solution (both transient and steady state) (b) Solve the equations numerically in Matlab using ODE45 for a time span [0 , 30] and initial conditions x (0) = 1, ˙ x (0) = 1. Plot three graphs (1) evaluated the transient response derived above versus time and create a plot (2) evaluate the steady state response versus time as derived above. (3) plot the numerical solution from ODE45 next to the total solution (steady state + transient). Include all code 2. Transferred Force A computer disk drive which weighs about 2 [kg] is suspended inside its casing by an isolator with a stiffness of 500 [ kN m ]. The disk drive rotates at a speed of 7200 rpm. Determine the damping ratio ( ζ ) needed in the isolator such that the transferred force is reduced by %90 at this...
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 Winter '08
 Mezic,I
 Steady State, Frequency, total solution, Test Equipment

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