Modal analysis of a circular plate with a solid shaft and a solid cylinder and estimation of radiating sound power

Abstract

The natural modes of flexural vibration of a circular plate with a solid shaft and a solid cylinder, which is a simple model of aircraft gears, were theoretically analyzed with a new method proposed by the authors. The calculated natural frequencies and mode shapes coincided well with the values measured by experimental modal analysis. Using the calculated natural frequencies and mode shapes, the three parameters required for the estimation of radiating sound power—total loss factor, radiation loss factor, and driving point mobility—were calculated, and then the radiating sound power from the circular plate was estimated by the estimation theory proposed by the authors in other papers. The frequency response of the estimated sound power coincided well with the values measured by the sound intensity method.