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just need a help for simulink part. Thanks! Consider the geared rotor as shown i

ID: 1863202 • Letter: J

Question


just need a help for simulink part. Thanks!

Consider the geared rotor as shown in Fig. 1, where M0 is a driving torque, Jg and Jr, are the mass moments of inertia of the gear shaft and rotor respectively, bg and br are the damping coefficients of the bearings, n1/n2 is the gear ratio, and k is a torsional spring coefficient representing the elastic property of the shafts. Write down all the governing equations of the rotor system. Derive the transfer function, ohm r(s)/M0(s) where M0(s) and ohm r(s) are the Laplace transforms of the M0(t) and the rotation speed omega r(t) = theta. r(t) , respectively. Obtain a state representation for the rotor, with M0(t) as the input, and omega t(s) as the output. Simulation of the Geared Rotor Assume that all the parameters are of non-dimensional values. Let the parameters of the geared rotor system in Task 1 be jg = 10, bg = 0.1; Jr = 30, br = 0.15; n1/n2 = 1/5. Build a SIMULINK model of the geared rotor system. For the stiffness k = 50, 100, 1,000, 5,000 and 10,000, plot the rotation speed omega r(t) subject to an impulse input M0(t) = 50. delta (t) where delta (t) is a delta function. Discuss the effect of the stiffness on the system response. For the stiffness k = 10, 50, 100,1,000 and 10,000, plot the rotation speed omega r(t) subject to a step input Ma(t) = 50, t > 0. Discuss the effect of the stiffness on the system response.

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