Vibrations may produce an undesirable noise and often causes hearing discomfort to humans. It is difficult to accurately quantify by experiments. This paper presents a novel approach to determine the noise and vibration characteristics. This is a coupled-fields finite element based method. It includes fluid-structure interaction in the model to quantify pressure waves that is generated by the structural vibration. Computational fluid dynamics and finite element techniques are integrated to analytically determine noise and vibration characteristics of a system. Mathematical formulation for a simple noise and vibration is presented. Mechanics of the fluid-structural interaction is explained. A gray-iron steel ring (See Figure 5) is selected for the study. Firstly, modal analysis is made on the steel ring to determine mode shapes and their corresponding frequencies. Secondly, the new method is used to analytically determine its noise and vibration characteristics, including frequencies, deformation, pressure, and sound intensity when it is subjected to an impulse. The analytical results are compared with measurements. It can be expanded to become an effective design tool for improving noise and vibration Characteristics in a clutch.