G1001-1-4 Optimum design of an oscillating beam subjected to a periodic external force

Abstract

The sound generation by oscillations of structures is one of the important engineering problems. We consider a simply supported beam of circular cross section subjected to a periodic external force. Acoustic power flow is determined, and in the absence of other loss mechanisms, this equals the total rate of work of the external force acting on the elastic beam. In this study, the optimal radius distribution of the beam, which minimizes (or maximizes) the emitted acoustic power flow, is determined.