Linear Transverse Vibrations of Rotors With Concentrated Mass Distribution

Abstract

This book is concerned with the nonlinear vibrations of rotors but, for use in later chapters, the theory of linear vibrations is briefly described. There are two reasons for this. Firstly, in descriptions of nonlinear theory we must often start by a determination of the critical velocities, characteristic frequencies, and characteristic functions for small (linear) vibrations. Secondly, only relatively simple methods are usually considered in the very large amount of literature devoted to the linear theory of rotor vibration; we are particularly interested in the study of compound rotors or rotors consisting of both distributed and concentrated masses. The dynamics of such elastic systems is more complex than that of systems consisting of distributed masses only, and the results given in this chapter may be of use to engineers.