Cover -- Title Page -- Copyright Page -- Preface -- Content -- List of Symbols -- Chapter 1. Kinematics Of Vibration -- 1.1. Definitions -- 1.2. The Vector Method of Representing Vibrations -- 1.3. Beats -- 1.4. A Case of Hydraulic-turbine Penstock Vibration -- 1.5. Representation by Complex Numbers -- 1.6. Work Done on Harmonic Motions -- 1.7. Non-harmonic Periodic Motions -- Chapter 2. The Single-Degree-Of-Freedom System -- 2.1. Degrees of Freedom -- 2.2. Derivation of the Differential Equation -- 2.3. Other Cases -- 2.4. Free Vibrations without Damping -- 2.5. Examples -- 2.6. Free Vibrations with Viscous Damping -- 2.7. Forced Vibrations without Damping -- 2.8. Forced Vibrations with Viscous Damping -- 2.9. Frequency-measuring Instruments -- 2.10. Seismic Instruments -- 2.11. Electrical Measuring Instruments -- 2.12. Theory of Vibration Isolation -- 2.13. Application to Single-phase Electrical Machinery -- 2.14. Application to Automobiles -- Floating Power -- Chapter 3. Two Degrees Of Freedom -- 3.1. Free Vibrations -- Natural Modes -- 3.2. The Undamped Dynamic Vibration Absorber -- 3.3. The Damped Vibration Absorber -- 3.4. Ship Stabilization -- 3.5. Automobile Shock Absorbers -- 3.6. Isolation of Non-rigid Foundations -- 4.1. Free Vibrations without Damping -- 4.2. Forced Vibrations without Damping -- 4.3. Free and Forced Vibrations with Damping -- 4.4. Strings and Organ Pipes -- Longitudinal and Torsional Vibrations of Uniform Bars -- 4.5. Rayleigh's Method -- 4.6. Bending Vibrations of Uniform Beams -- 4.7. Beams of Variable Cross Section -- 4.8. Normal Functions and Their Applications -- 4.9. Stodola's Method for Higher Modes -- 4.10. Rings, Membranes, and Plates -- Chapter 4. Many Degrees Of Freedom -- Chapter 5. Multicylinder Engines -- 5.1. Troubles Peculiar to Reciprocating Engines -- 5.2. Dynamics of the Crank Mechanism.

5.3. Inertia Balance of Multicylinder Engines -- 5.4. Natural Frequencies of Torsional Vibration -- 5.5. Numerical Example -- 5.6. Torque Analysis -- 5.7. Work Done by Torque on Crank-shaft Oscillation -- 5.8. Damping of Torsional Vibration -- Propeller Damping -- 5.9. Dampers and Other Means of Mitigating Torsional Vibration -- 6.1. Critical Speeds -- 6.2. Holzer's Method for Flexural Critical Speeds -- 6.3. Balancing of Solid Rotors -- 6.4. Simultaneous Balancing in Two Planes -- 6.5. Balancing of Flexible Rotors -- Field Balancing -- 6.6. Secondary Critical Speeds -- 6.7. Critical Speeds of Helicopter Rotors -- 6.8. Gyroscopic Effects -- 6.9. Frame Vibration in Electrical Machines -- 6.10. Vibration of Propellers -- 6.11. Vibration of Steam-turbine Wheels and Blades -- Chapter 6. Rotating Machinery -- Chapter 7. Self-Excited Vibrations -- 7.1. General -- 7.2. Mathematical Criterion of Stability -- 7.3. Instability Caused by Friction -- 7.4. Internal Hysteresis of Shafts and Oil-film Lubrication in Bearings as Causes of Instability -- 7.5. Galloping of Electric Transmission Lines -- 7.6. Kármán Vortices -- 7.7. Hunting of Steam-engine Governors -- 7.8. Diesel-engine Fuel-injection Valves -- 7.9. Vibrations of Turbines Caused by Leakage of Steam or Water. -- 7.10. Airplane-wing Flutter -- 7.11. Wheel Shimmy -- 8.1. The Principle of Superposition -- 8.2. Examples of Systems with Variable Elasticity -- 8.3. Solution of the Equation -- 8.4. Interpretation of the Result -- 8.5. Examples of Non-linear Systems -- 8.6. Free Vibrations with Non-linear Characteristics -- 8.7. Relaxation Oscillations -- 8.8. Forced Vibrations with Non-linear Springs -- 8.9. Forced Vibrations with Non-linear Damping -- 8.10. Subharmonic Resonance -- Chapter 8. Systems With Variable Or Non-Linear Characteristics -- Problems -- Answers To Problems.

Appendix: A Collection Of Formulas -- Index.

This classic text combines the scholarly insights of its distinguished author with the practical, problem-solving orientation of an experienced industrial engineer. Abundant examples and figures, plus 233 problems and answers. 1956 edition.

Electronic reproduction

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2019. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.