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The front exhaust pipe and the heat-shield plate of the catalytic converter are excited by the engine vibration. Noise radiation occurs on their surface. Concerning vehicle exterior noise, noise radiated from the exhaust system is often one of major sources as well as engine and exhaust noise. This paper describes the longitudinal vibration model-as a beam-is applied to the high frequency vibration that causes the noise radiated from the exhaust system. It describes also some methods of reducing such noise radiation by isolating the vibration from the front exhaust pipe. These methods are: adding mass to the front pipe, changing the material of the front pipe to a smaller Young's modulus one, installing flexible pipe composed by two sections, and so on.