Solution of Linear Gyroscopic Systems

Abstract

HE solution of gyroscopic system equations requires solution of an eigenvalue problem which by present methods is accomplished via a transformation to a standard non-gyroscopic eigenvalue problem on two symmetric matrices with its associated computational advantages. However this is done at the expense of doubling the dimension and simultaneously doubling the multiplicities of the eigenfrequencies. In this paper a method is presented which, for most practical problems eliminates these difficulties. The method takes advantage of special phase relationships satisfied in many practical systems.