Generalization of the rayleigh theorem to gyroscopic systems: PMM vol. 40, n≗ 4, 1976, pp. 606–610

Abstract

The Rayleigh theorem on the properties of the spectrum of a linear conservative mechanical system is generalized to embrace the gyroscopic systems, i.e. to the case in which the equations of motion contain, in addition to the kinetic and potential energy matrices, an arbitrary skew-symmetric matrix of gyroscopic forces.