[yim060] Mechanical Vibration 3rd Ed. - Hartog

This book grew from a course of lectures given to students in the Design School of the Westinghouse Company in Pittsburgh,Pa., in the period from 1926 to 1932, when the subject had not yet been introduced into the curriculum of our technical schools. From 1932 until the beginning of the war,it became a regular course at the Harvard Engineering School, and the book was written for the purpose of facilitating that course, being first published in 1934. In its first edition, it was influenced entirely by the author's industrial experience at Westinghouse; the later editions have brought modifications and additions suggested by actual problems published in the literature, by private consulting practice, and by service during the war in the Bureau of Ships of the U.S. Navy.
The book aims to be as simple as is compatible with a reasonably complete treatment of the subject. Mathematics has not been avoided, but in all cases the mathematical approach used is the simplest one available.
In the third edition the number of problems has again been increased, while the principal changes in the text concern subjects in which recent advances have been made, such as airplane wing flutter, helicopter ground vibration, torsional pendulum dampers,singing ships' propellers, and electronic instruments.
Table of Contents

Preface
LIST OF SYMBOLS
CHAPTER I KINEMATICS OF VIBRATION
1. Definitions - 2. The Vector Method of Representing Vibrations - 3. Beats - 4. A Case of Hydraulic-turbine Penstock Vibration - 5. Representation by Complex Numbers - 6. Work Done on Harmonic Motions - 7. Non-harmonic Periodic Motions

CHAPTER II THE SINGLE DEGREE OF FREEDOM SYSTEM
8. Degrees of Freedom - 9. Derivation of the Differential Equation - 10. Other Cases - 11. Free Vibrations without Damping - 12. Examples - 13. Free Vibrations with Viscous Damping - 14. Forced Vibrations without Damping - 15. Forced Vibrations with Viscous Damping - 16. Frequency Measuring Instruments - 17. Seismic Instruments - 18. Electrical Measuring Instruments - 19. Theory of Vibration Isolation - 20. Application to Single-phase Electrical Machinery - 21. Application to Automobiles; Floating Power

CHAPTER III Two DEGREES OF FREEDOM
22. Free Vibrations; Natural Modes - 23. The Undamped Dynamic Vibration Absorber - 24. The Damped Vibration Absorber - 25. Ship Stabilization by Means of Frahm's Tanks - 26. Gyroscopic Ship Stabilizers - 26a. Activated Ship Stabilizers - 27. Automobile Shock Absorbers

CHAPTER IV MANY DEGREES OF FREEDOM
28. Free Vibrations without Damping - 29. Forced Vibrations without Damping - 30. Free and Forced Vibration with Damping - 31. Strings and Organ Pipes; Longitudinal and Torsional Vibrations of Uniform Bars - 32. Rayleigh's Method - 33. Bending Vibrations of Uniform Beams - 34. Beams of Variable Cross Section - 35. Normal Functions and Their Applications - 35a. Stodola's Method for Higher Modes - 36. Rings, Membranes, and Plates

CHAPTER V MULTI-CYLINDER ENGINES
37. Troubles Peculiar to Reciprocating Engines - 38. Dynamics of the Crank Mechanism - 39. Inertia Balance of Multicylinder Engines - 40. Natural Frequencies of Torsional Vibration - 41. Numerical Calculation of Diesel Ship Drive - 42. Torque Analysis - 43. Work Done by Torque on Crank-shaft Oscillation - 44. Damping of Torsional Vibration - 45. Dampers and Other Means of Mitigating Torsional Vibration

CHAPTER VI ROTATING MACHINERY
46. Critical Speeds - 46a. Ilolzer's Method for Fiexural Critical Speeds - 47. Balancing of Solid Rotors - 48. Simultaneous Balancing in Two Planes - 49. Balancing of Flexible Rotors; Field Balancing - 50. Secondary Critical Speeds - 50a. Critical Speeds of Helicopter Rotors - 51. Gyroscopic Effects
- 52. Frame Vibration in Electrical Machines - 53. Vibration of Propellers - 54. Vibration of Steam-turbine Wheels and Blades

CHAPTER VII SELF-EXCITED VIBRATIONS
55. General - 56. Mathematical Criterion of Stability - 57. Instability Caused by Friction - 58. Internal Hysteresis of Shafts and Oil-film Lubrication in Bearings as Causes of Instability - 59. Galloping of Electric Transmission Lines - 60. Autorotation; Instability Caused by Finite Speed of Formation of Turbulence - 61. Hunting of Steam-engine Governors - 62. Diesel-engine Fuel-injection Valves - 63. Axial Oscillation of Turbine Caused by Steam Leakage - 64. Airplane-wing Flutter - 65. Automobile Shimmy

CHAPTER VIII SYSTEMS WITH VARIABLE on NON-LINEAR CHARACTERISTICS
66. The Principle of Superposition - 67. Examples of Systems with Variable Elasticity - 68. Solution of the Equation - 69. Interpretation of the Result - 70. Examples of Non-linear Systems - 71. Free Vibrations with Non-linear Elasticity or Damping - 72. Forced Vibrations with Non-linear Springs - 73. Forced Vibrations with Non-linear Damping - 74. Relaxation Oscillations - 75. Subharmonic Resonance

APPENDICES
I. THE GYROSCOPE
II. ACOLLECTION OF FORMULAS
BIBLIOGRAPHY
ANSWERS TO PROBLEMS
INDEX

# Title : Mechanical Vibrations, Third Edition
# Author : J. P. Den Hartog
# Hardcover: 503 pages
# Publisher: McGraw-Hill Book Company Inc., (1947)
# Language: English
# ISBN-10: B000WVM9XI

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