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CA-AA242B-Final

# CA-AA242B-Final - AA 242B Mechanical Vibrations(Spring 2010...

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AA 242B: Mechanical Vibrations (Spring 2010) Final Due June 9, 2010 Problem 1 1. Explain why the system graphically depicted in Figure 1 simulates a “dam- aged” vehicle traveling on a rough road. 2. Compute the response z ( t ) as well as the force f ( t ) transmitted to the vehicle. Would you buy such a car? Why? Problem 2 1. Using an exact method, find the response of the system shown in Figure 2. 2. Using the added mass method, find the response of the same system. 3. Plot the time-histories of both computed responses and compare the ob- tained results. Problem 3 Assume that d is such that the system shown in Figure 3 is lightly damped. 1. Compute a good approximation of each of its two damped frequencies. Problem 4 1. Find the eigenmodes of the discrete system shown in Figure 4. 2. Consider a free-free rod with a uniform cross section. Compute and plot the first three natural modes of vibration of this rod. 3. Compare the answers to the above two questions and draw conclusions concerning the analogy between discrete and continuous systems.

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CA-AA242B-Final - AA 242B Mechanical Vibrations(Spring 2010...

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