A practical approach to the application of viscoelastic damping materials to control vibration and noise problems in industrial structures, machinery, computer machinery, and vehicles. Assuming a basic understanding of mechanical engineering, the text covers implementation of theory, including material properties, dynamic structural response, design procedures and practical applications. Based on an understanding of both the properties of materials and the vibrational response of structures. Considers individual structures and the damping materials properties simultaneously. Includes extensive collection of data sheets for a large number of useful damping materials.
This monograph seeks to strengthen the contributions of Polish scientists and engineers to the study of problems of mechanical vibrations and noise. It presents research covering such topics as: structural damping; internal damping in composite materials; and noise attenuation in working machines.
Many structures suffer from unwanted vibrations and, although careful analysis at the design stage can minimise these, the vibration levels of many structures are excessive. In this book the entire range of methods of control, both by damping and by excitation, is described in a single volume.Clear and concise descriptions are given of the techniques for mathematically modelling real structures so that the equations which describe the motion of such structures can be derived. This approach leads to a comprehensive discussion of the analysis of typical models of vibrating structures excited by a range of periodic and random inputs. Careful consideration is also given to the sources of excitation, both internal and external, and the effects of isolation and transmissability. A major part of the book is devoted to damping of structures and many sources of damping are considered, as are the ways of changing damping using both active and passive methods. The numerous worked examples liberally distributed throughout the text, amplify and clarify the theoretical analysis presented. Particular attention is paid to the meaning and interpretation of results, further enhancing the scope and applications of analysis. Over 80 problems are included with answers and worked solutions to most. This book provides engineering students, designers and professional engineers with a detailed insight into the principles involved in the analysis and damping of structural vibration while presenting a sound theoretical basis for further study. Suitable for students of engineering to first degree level and for designers and practising engineersNumerous worked examplesClear and easy to follow
Reducing and controlling the level of vibration in a mechanical system leads to an improved work environment and product quality, reduced noise, more economical operation, and longer equipment life. Adequate design is essential for reducing vibrations, while damping and control methods help further reduce and manipulate vibrations when design strat
Written specifically for the students of Mechanical Engineering, "Mechanical Vibrations" is a succinctly written textbook. Without being verbose, the textbook delves into all concepts related to the subject and deals with them in a laconic manner. Concepts such as Freedom Systems, Vibration Measurement and Transient Vibrations have been treated well for the student to get profounder knowledge in the subject.
Polymers for Vibration Damping Applications is a detailed guide on the use of polymers and polymer composites for vibration and shock damping. The book begins with two chapters that introduce the fundamentals of both vibration and shock damping. The next part of the book presents in-depth coverage of polymeric materials for vibration damping, including viscoelastic properties, design of polymer systems, and modes and applications. Finally, measurement techniques are discussed in detail. Throughout the book, the different perspectives of materials and engineering are considered, and both mathematical and conceptual approaches are used. This is an essential resource for all those looking to understand the application of polymers for vibration damping, including researchers, scientists and advanced students in polymer science, plastics engineering, materials science and mechanical engineering, as well as engineers and R&D personnel in the automotive, marine, defense and construction industries. Equips the reader with a complete, fundamental understanding of vibration and shock damping Explains the viscoelastic properties, design and applications of polymeric materials for vibration damping applications Includes cutting-edge research on the use of polymers for advanced civil and defense applications
This Third Edition of the well-received engineering text retains the clarity of exposition that made the previous editions so popular, and contains the most widely-used problem sets in the business. Approach to vibration analysis is clear, concise, and simple, backed up by a wealth of problems and examples. Multi-degree-of-freedom problems are well-prefaced with two-degree-of-freedom cases. There is a special treatment of damping, including non-viscous problems (standard texts make much use of viscous damping, but most practical examples are not viscous). Now includes an excellent development of Rayleigh's principle and an introduction to finite element vibration analysis. Contains 100 new problems.
MECHANICAL VIBRATIONS By J. P. DKN HARTOG IllOFKSSOR OF MIlCIIAISirAL F. NOlMiUlUNO MASSACHUSETTS liSSTITUTH OF TKC. HNOLOti Y Third Edition New York and iM McGUAW-IIILL BOOK COMPANY, fNC. 1917 MECHANICAL VIBRATIONS COPYRIGHT, 1934, 1940, 1947, BY THE McGuAW-HiLL BOOK COMPANY, INC. PRINTED IN THE UNITED STATES OF AMERICA All rights reserved. This book, or parts thereof, may not be reproduced in any form without permission of the publishers THE MAPLE PRESS COMPANY, YORK, PA PREFACE TMjfl6ook 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 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...
