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Publisher: Springer US
Published: 1995
Place of publication: Boston, MA
Language: eng
Format: [electronic resource]
ISBN-13: 9781468490756
Subjects: Engineering; Mechanical engineering
Table of contents: title: I. Linear Transverse Vibrations of Rotors with Concentrated Mass Distribution; title: ʹ 1. Critical Speeds of Rotors. The Differential Equations and Boundary Conditions; title: ʹ 2. Determination of Critical Velocities by the Initial-Parameters Method; title: ʹ 3. Forced Vibrations in Rotors Caused by Imbalance. Characteristic Frequencies of Transverse Vibrations of Rotors; title: ʹ 4. Examples. Bending Vibrations of High-Speed Spindles; title: ʹ 5. Generalized Conditions for the Orthogonality of the Characteristic Functions of Nonrotating Shafts with Distributed and Concentrated Loads; title: II. The Nonlinear Differential Equations for Flexural Vibrations of Unbalanced Rotors; title: ʹ 1. The Differential Equations for the Motion of a Rotor in the Absence of Gyroscopic Moments; title: ʹ 2. The Differential Equations of Motion of a Rotor with Operating Speed Between the First- and Second-Order Critical Speeds; title: ʹ 3. Properties of the Nonlinear Differential Equations for the Flexural Vibrations of a Rotor with no Mass Gyroscopic Action; title: III. Almost-Periodic Solutions of Quasi-Linear Systems and Their Stability Under Conditions of Multiple Resonance; title: ʹ 1. The Case of Perfect Resonance; title: ʹ 2. The Case When the Resonance Relations Are Approximately Satisfied; title: ʹ 3. The Case of Nonresonance; title: IV. A Qualitative Analysis of the Nonlinear Oscillations of Rotors. Mixed and Self-Induced Oscillation; title: A. The Nonlinear Oscillations of Rotors Operating at Speeds Between the First- and Second-Order Critical Speeds; title: B. Self-Induced Oscillations Beyond the Second Critical Speed; title: V. Self-Induced Oscillations of Rotors with Gyroscopic Moments Present in the System (Simplest Case); title: ʹ 1. The Differential Equations of Motion of a Cantilever-Supported Disc. The Reduction of a Quasi-Linear, Gyroscopic System to Standard Form; title: ʹ 2. The Standard Solutions of the Nonlinear Equations of Motion for a Disc at the End of a Shaft for the Nonresonance Case; title: ʹ 3. A Numerical Method for the Investigation of the Stability of Gyroscopic Systems (Linear Problem); title: VI. An Experimental Investigation of Self-Induced Oscillation of Rotors. The Self-Induced Oscillations of High-Speed Spindles; title: ʹ 1. A Description of High-Speed Spindles of the V 25 and V 28 Families; title: ʹ 2. The Bench for the Experimental Investigation of Spindle Vibrations; title: ʹ 3. Self-Induced Oscillations of Spindles Without Damping. The Effect of Elastic Coupling on Self-Induced Vibrations; title: ʹ 4. The Damping of Spindle Self-Induced Oscillations. Bushings with Cylindrical and Spherical Sleeves. Dampers with Damping Sleeves. Rubber Dampers. The Experiments of M.I. Chaevskii; title: ʹ 5. The Effect of Shocks on the Self-Excitation of Rotor Vibrations; title: Appendix. The Stability of Periodic Solutions of Quasi-Linear Systems with Nonsimple Elementary Divisors; title: Literature Cited.