Abstract
Vibration response is an important aspect of any engineering problem. This thesis deals with developing a method to obtain the vibration, parametric and sensitivity of an automobile analyzed as a 2-DOF rigid body system with damping. The focus of the vibration analysis is to obtain the poles, eigenvectors, and natural frequencies of the system. The parametric analysis gave information on how the natural frequency is affected when one of the parameters is perturbed. Information about how much the system is affected by the change in one parameter is what is obtained from the sensitivity analysis. The theoretical solution contained in this report uses the parameters of a 2002 Honda CR-V to give a general idea of how an automobile should respond when analyzed as a two degree of freedom rigid body. An experiment was designed to implement the theory in practical applications. Modal testing was applied to extract the natural frequencies in order to characterize the system. From the experiment, the parametric analysis produced results that resulted in error of 5.8-10.8%. This error is small and it may seem the experiment is a good design, but that error caused an even greater amount of error in the sensitivity results. In that analysis, the stiffness produced the best results, resulting in 0% error. However, the error for the sensitivity on the mass resulted in 28.09-54.0% for the first eigenvalue and 18.94-24.76% for the second eigenvalue. This high error could be due to the fact that the mass is a sensitive parameter. For the most part, fairly accurate results have been produced from the developed theory. Some work still needs to be done with the sensitivity to get better results. These results also prove that this theory can serve as a vital tool in developing practical solutions to vibration control problems.
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