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Studies To Improve Exhaust System Acoustic Performance By Determination And Assessment Of The Source Characteristics And Impedance Optimization, Yitian Zhang

Theses and Dissertations--Mechanical Engineering

It is shown that the relationship between an impedance change and the dynamic response of a linear system is in the form of the Moebius transformation. The Moebius transformation is a conformal complex transformation that maps straight lines and circles in one complex plane into straight lines and circles in another complex plane. The center and radius of the mapped circle can be predicted provided that all the complex coefficients are known. This feature enables rapid determination of the optimal impedance change to achieve desired performance.

This dissertation is primarily focused on the application of the Moebius transformation to enhance …