1-Expand on themass-spring-dampermodel,which you created inHW1 usingSimulink,by addinga sinusoidal input force. The schematic of your Simulink...

1-Expand on themass-spring-dampermodel,which you created inHW1 usingSimulink,by addinga sinusoidal input force. The schematic of your Simulink model should be similar to the figureshown below.The mass, damping and stiffness of the system are assumed to be푚=1푘푔, 푏=0.1푁.푠/푚, and 푘=25푁/푚. Use an amplitude of 1Nfor the sinusoidal forcing function (i.e.,put 1 as the amplitude in the SineForcingFunction block).

Solutions

Expert Solution

First, construct the SIMULINK block as below:

Then, change the frequencies in the sine forcing input and observe the output on the scope:

Output for 1rad/s:

Output for 5 rad/s

Output for 100 rad/s:

We observe that the amplitudes of the responses vary with frequency. This is because of the system characteristics (system transfer function) of the mass-spring-damper system. It is a second order system, and the response to 1rad/s is perfect tracking. For 5 rad/s the system goes to resonance, and for 100rad/s, the system exhibits a damped response. This is a typical response of all second order systems for sine inputs.

genius_generous answered 1 year ago

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