Power Transmission from a Vibrating Source through an Intermediate Flexible Panel to a Flexible Cylinder

Abstract

When active control is used to reduce the vibration transmission through machine isolators into supporting structures, the vibratory power transmission through the isolators is often used as the cost function to be minimized. To apply active control effectively to machine isolation systems, it is necessary to investigate the nature of the vibratory power transmission from a vibrating machine to its supporting structure through the isolators. In this study the reduction of vibratory power transmission from a vibrating rigid body into a flexible simply supported cylinder through a flexible, completely free intermediate panel and multiple connected isolators is investigated theoretically and numerically. The system studied in this paper can be taken as a simplified dynamical model of equipment mounting configurations in submarines.