VIBRATIONS AND STABILITY OF A CONICAL TRIPLE-LAYERED SHELL WITH FLUID FLOW IN THE MIDDLE LAYER,

Abstract : The vibrations and stability of a composite triple-layered conical shell were investigated. The shell consisted of two isotropic coaxial smooth layers rigidly joined at contact points formed by a corrugated middle layer. An ideal incompressible fluid of density rho sub 0 was flowing in the channels formed by the corrugation crimps and the external shells. The general rate of flow in the middle layer was constant. The analysis employs a coordinate system based upon the median surface of the middle layer. It was concluded that: (1) the frequency of shell vibration decreases continuously with increasing rate of flow; (2) the shell loses stability through divergence at supercritical rates of flow; (3) the amplitude of vibration increases or decreases depending on the direction of flow.