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MECHANICAL VIBRATIONS by J. P. DEN HARTOG.Originally published in 1917. PREFACE: 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 authors 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 reason ably 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. The author expresses his gratitude to the many readers who have written him calling attention to errors and making sugges tions for improvements and hopes that readers of this third edition will also offer suggestions. J P. DEN HAIITOG. CAMBRIDGE, MASS., January, 1947. Contents include: 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 tS 5. Representation by Complex Numbers 11 6. Work Done on Harmonic Motions. . . . . . 14 7. Non-harmonic Periodic Motions. . . . . . 19 CHAPTER II THE SINGLE DEGREE OF FREEDOM SYSTEM 8. Degrees of Freedom 34 9. Derivation of the Differential Equation , 36 10. Other Cases 38 11. Free Vibrations without Damping 43 12. Examples 47 13. Free Vibrations with Viscous Damping . ... 51 14. Forced Vibrations without Damping ... .57 15. Forced Vibrations with Viscous Damping. .... 63 16. Frequency Measuring Instruments. ... ... 72 17. Seismic Instruments .75 18. Electrical Measuring Instruments ... . SO 19. Theory of Vibration Isolation .... ... S9 20. Application to Single-phase Electrical Machinery 92 21. Application to Automobiles Floating Power 96 CHAPTER III Two DEGREES OF FREEDOM 22. Free Vibrations Natural Modes 103 23. The Undamped Dynamic Vibration Absorber 112 24. The Damped Vibration Absorber .119 viii CONTENTS 25. Ship Stabilization by Means of Frahms Tanks 133 26. Gyroscopic Ship Stabilizers 139 26a. Activated Ship Stabilizers 142 27. Automobile Shock Absorbers 145 CHAPTER IV MANY DEGREES OF FREEDOM 28. Free Vibrations without Damping 155 29. Forced Vibrations without Damping 160 30. Free and Forced Vibration with Damping 165 31. Strings and Organ Pipes Longitudinal and Torsional Vibra tions of Uniform Bars 170 32. Rayleighs Method 178 33. Bending Vibrations of Uniform Beams 185 34. Beams of Variable Cross Section 194 35. Normal Functions and Their Applications 198 35a. Stodolas Method for Higher Modes 202 36. Rings, Membranes, and Plates 205 CHAPTER V MULTICYLINDER ENGINES 37. Troubles Peculiar to Reciprocating Engines 213 38. Dynamics of the Crank Mechanism 217 39...
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Most Helpful Customer Reviews
10 of 10 people found the following review helpful
Format:Paperback
This book is a reprint of a classic text, used at Harvardfor many years. The reprint has lots of problems solved in the text and plenty of good problems for the reader to solve. Very application oriented problems covering rotating, and vibrating real world machinery. You can lear n a lot from this text by reading and doing the problems, none of which require a much math beyond algebra and first year calculus. I do practical vibration analysis daily in my work and this and Schaum's outlines are what I would recommend if you have to teach others the basics of vibration for solving typical practical problems.
Format:Paperback
A classic and still relevant today, a really good section on vibration on multicylinder engines which is why I purchased it, but other parts are good as well. I would have liked it to have been revised into SI units but imperial british units are fine. if you are looking to get started with an engineering text on vibration you could do a lot worse than this one.
Most Helpful Customer Reviews on Amazon.com (beta)
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16 reviews
41 of 45 people found the following review helpful
Reprint of a classic text from 1930s, still very applicable
23 Oct 1998
Format:Paperback
This book is a reprint of a classic text, used at Harvardfor many years. The reprint has lots of problems solved in the text and plenty of good problems for the reader to solve. Very application oriented problems covering rotating, and vibrating real world machinery. You can lear n a lot from this text by reading and doing the problems, none of which require a much math beyond algebra and first year calculus. I do practical vibration analysis daily in my work and this and Schaum's outlines are what I would recommend if you have to teach others the basics of vibration for solving typical practical problems.
10 of 11 people found the following review helpful
physics of mechanical vibrations
5 Dec 2005
Format:Paperback
I feel the title "Physics of mechanical vibrations" would be more suitable for this book. The author justifies (by physical explaination) each and every mathematical result in the book. THe end of the book excercises are applicaiton oriented and author makes us to think and apply the techniques learned from the book to a real world problem. One can suppliment this book with Timoshenko's "Vibration problems in engineering". Both books are nice and explain the theory with practical applications.
7 of 8 people found the following review helpful
Excelent Book
3 Jan 2006
Format:Paperback
This book really emphasizes the understanding of basic physical principles in solving vibration problems. Although first published in the early 30s, most of the contents are still up to date. The chapter on self-excited vibrations is great.
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