SPACE-HARMONIC ANALYSIS OF FLUID-LOADED SHELLS WITH PERIODICAL RING STIFFENERS

摘要

In this paper, the vibration of an infinite thin fluid- loaded shell with periodic circumferential stiffeners is studied. The stiffeners are idealized as line attachments capable of exerting line forces upon the shell, and these forces relate to the coupling of the stiffeners and the shell. The simple harmonic motion of shell and the pressure field in the fluid are described by the FlUgge shell equations and Helmholtz equation respectively. By using periodic structure theory, the response of this structure to a convected harmonic pressure is studied firstly. The Fourier transforms and the space-harmonic analysis are used to find the response. Then, the response to a line circumferential cosine harmonic force is investigated. The concept of vibration power flow is introduced and the influences of the stiffeners parameters on the power flow are discussed also.