Problem L4.1- Egg Beater Returns. The egg beater has a moment of inertia J and i

Question

Problem L4.1- Egg Beater Returns. The egg beater has a moment of inertia J and is immersed in a viscous batter with a viscous coefficient b. Stephanie from Lazytown needs your help baking a cake (She says it's a piece of cake to bake the cake). Stephanie requires that the beater reach a top speed of 100 RPM while immersed in the batter and achieve this top speed (spin-up) in no more than 2 s. The viscosity of the batter remains fixed at b 30N m -s/rad, however you can vary the moment of inertia J and the input torque T to the blender. What values of J and T accomplish this task? (HINT: Use Final Value Theorem for top speed) Assume zero ICs. Plot the step response of this system and plot the impulse response. Describe any discontinuities you see in the response, what's going on?

Explanation / Answer

***/ Matlab program for plotting the Campbell diagram (Non dimensional) considering Gyroscopic effect for the rotational motions of a rotor with four degrees of freedom in which translational and rotational motions are uncoupled /***

for omega1 = 0:0.1:3;

for d = 0:0.5:2;

w1 = ((d)*(omega1)) + sqrt((((d^2)*((omega1)^2))/4) + 1);

w2 = ((d)*(omega1)) - sqrt((((d^2)*((omega1)^2))/4) + 1);

w3 = 0;

plot(omega1,w1,'*');

hold on;

plot(omega1,w2,'+');

hold on;

plot(omega1,w3,'.');

hold on;

xlabel('omega*');

ylabel('w*');

title('Campbell Diagram');

end

end

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