Vibration Analysis of Rotors is concerned with the important topic of rotor dynamics. Rotor problems are examined through vibration analysis and emphasis is placed on the analytical aspects. The book is therefore very useful as an advanced course/self-study book on rotor dynamics for readers with a good knowledge of vibration analysis. The text introduces simple rotor systems and gradually progresses to the complex systems, with a description of all analytical solutions for discrete and continuous rotor systems. A useful chapter is devoted to the introduction of lambda matrices, which allow a unified approach to the rotor vibration problems examined later in the book. Vibration Analysis of Rotors is vital reading for graduate-level mechanical engineers, either on rotor dynamic courses or who need a reference text.
1 Whirl of Simple Rotors.- 1.1 Introduction.- 1.2 Whirling and critical speed of a simple(Jeffcott) rotor.- 1.3 Whirling of a simple rotor in orthotropic bearings.- 1.4 Whirling of a simple rotor in damped isotropic bearings.- 1.5 Isotropic bearings.- 1.6 Whirling of a simple shaft with asymmetric stiffnesses.- 1.7 Whirling of a simple rotor with internal/external damping.- 1.8 Synchronous whirling- Phasor.- 1.9 Whirl orbits(Lissajous figures)- Asynchronous whirling.- 1.10 References.- 2 Gyroscopic Whirling of a Simple Rotor.- 2.1 Introduction.- 2.2 Gyroscopes.- 2.3 Gyroscopic whirling of a simple rotor supported by torsional springs.- 2.4 Gyroscopic whirling of an overhung rotor.- 2.5 Effects of internal/external damping.- 2.6 Stability of a simple rotor with asymmetric inertia.- 2.7 A simple rotor with asymmetric stiffness and asymmetric inertia.- 2.8 A rigid rotor supported by bearings at ends.- 2.9 References.- 3 Fluid Film Bearings.- 3.1 Introduction.- 3.2 Equilibrium position of journal center.- 3.3 Journal bearing coefficients.- 3.4 Instability in journal bearings- Oil whirl and oil whip.- 3.5 Simple rotor instability.- 3.6 Effect of couplings in bearing coefficients matrices.- 3.7 References.- 3.8 Appendix A3.- 4 Lambda Matrices and General Eigenvalue Problems.- 4.1 Introduction.- 4.2 Eigenvalues and vectors.- 4.3 Regular pencils of matrices.- 4.4 Lambda-matrices.- 4.5 References.- 5 Multi-Degree-of-Freedom Rotor-Bearing Systems.- 5.1 Introduction.- 5.2 Equations of motion of rotating machinery.- 5.3 Modal analysis of multi-dof rotor-bearing systems.- 5.4 Complex modal analysis- Discrete isotropic rotors.- 5.5 Modal testing of rotating machinery.- 5.6 Concluding remark.- 5.7 References.- 6 Harmonic Response of Rotor-Bearing Systems.- 6.1 Introduction.- 6.2 Rotorsystems with rotational speed dependent parameters.- 6.3 Harmonic response and critical speed analysis by generalized modal analysis.- 6.4 Balancing using influence coefficients.- 6.5 Generalized modal balancing theory.- 6.6 Concluding remark.- 6.7 References.- 7 Distributed Parameter Rotor-Bearing Systems.- 7.1 Introduction.- 7.2 Equations of motion.- 7.3 Modal analysis.- 7.4 Mode shapes and orthogonality.- 7.5 Frequency equation of a uniform shaft with hinged ends.- 7.6 Modal frequencies and critical speeds of a uniform shaft.- 7.7 Influence of internal/external friction on critical speeds.- 7.8 Steady state and transient responses.- 7.9 References.- 7.10 Appendix A7.- 8 Vibrations of a Rotor under Combined Effects.- 8.1 Introduction.- 8.2 The effect of shear deformation on critical speeds.- 8.3 Unbalanced simple rotor rotating at an uneven speed.- 8.4 Effect of torque on the stability of flexural rotors.- 8.5 Dynamics of a cracked rotor.- 8.6 References.- 8.7 Appendix A8.