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Mechanical Vibrations (4th Edition) 4th Edition

33 customer reviews
ISBN-13: 978-0130489876
ISBN-10: 0130489875
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Editorial Reviews


“This is a very comprehensive text that includes introductory, intermediate, and advanced material appropriate for mechanical engineering seniors and graduate students.” — Ara Arabyan, University of Arizona

“Comprehensive coverage of virtually all vibration related topics.” — Ara Arabyan, University of Arizona

“The book covers all the relevant topics of vibration analysis. The material is presented in a simple manner, easy to read, follow and understand. Moreover, illustrations are simple, yet complete and serve well the presented material and solution strategy and methodology.” — Faissal A. Moslehy, University of Central Florida

“The book presents a comprehensive coverage of mechanical vibration. It is a very resourceful textbook as well as a “must have” reference.” — Faissal A. Moslehy, University of Central Florida

“Presentation of a wide range of vibration topics, including experimental modal analysis, machine monitoring, nonlinear and random vibration, which are normally taught at the graduate level. This makes the book a viable reference for practicing engineers as well.” — Faissal A. Moslehy, University of Central Florida

“I absolutely love this text book. This is one of my favorites Vibrations book. I must congratulate the author for doing such a great job in the planning, organization, writing, editing and continuous improvement of the book.” — Mohen Rao, Michigan Tech

“The chapters are excellently written and presented. What I like about this text is that it includes all the steps in arriving an equation or conclusion and the solutions to the example problems are very detailed.” — Amir Rezael, California State Polytechnic University --This text refers to an alternate Hardcover edition.

From the Inside Flap

This text serves as an introduction to the subject of vibration engineering at the undergraduate level. The style of the prior editions has been retained, with the theory, computational aspects, and applications of vibrations presented in as simple a manner as possible. As in the previous editions, computer techniques of analysis are emphasized. Expanded explanations of the fundamentals are given, emphasizing physical significance and interpretation that build upon previous experiences in undergraduate mechanics. Numerous examples and problems are used to illustrate principles and concepts. Favorable reactions and encouragement from professors and students have provided me with the impetus to write the third edition of this book. Several new sections have been added and many topics modified and rewritten. Most of the additions were suggested by those who have used the text and by numerous reviewers. Some important changes should be noted:

The sections on the history of vibration, harmonic motion and harmonic analysis are expanded in Chapter 1.

In Chapter 3 the section on self-excitation and stability analysis has been rewritten and expanded.

A section on earthquake response spectra has been added to Chapter 4.

Two new sections, Using Newton's Second Law to Drive Equations of Motion and Free Vibration of Undamped Systems, have been added to Chapter 6.

A section on forced vibration of beams has been added to Chapter 8.

The sections on isolation and absorbers have been expanded in Chapter 9.

The section on experimental modal analysis has been rewritten and a new section on machine condition monitoring and diagnosis has been added to Chapter 10.

A section on chaos has been added to Chapter 13.

A section on response of a multidegree of freedom system has been added to Chapter 14.

Two new appendixes, on mathematical relationships and deflection of beams and plates, are now included.

Approximately 30 new illustrative examples appear throughout the book.

More than 220 new problems have been added at the ends of various chapters.

In several chapters, more project type problems are now included. Features

Each topic in Mechanical Vibrations is self-contained, with all concepts explained fully and the derivations presented with complete details. The computational aspects are emphasized throughout the book. Several Fortran computer programs, most of them in the form of general purpose subroutines, are included in the diskette accompanying the book. These programs are given for use by the students. Although the programs have been tested, no warranty is implied as to their accuracy. Problems that are based on the use/development of computer programs are given at the end of each chapter and expose students to many important computational and programming details.

Certain subjects are presented in a somewhat unconventional manner. The topics of Chapters 9, 10, and 11 fall in this category. Most textbooks discuss isolators, absorbers, and balancing in different places. Since one of the main purposes of the study of vibrations is to control vibration response, all topics directly related to vibration control are given in Chapter 9. The vibration-measuring instruments, along with vibration exciters, experimental modal analysis procedures, and machine condition monitoring, are presented in Chapter 10. Similarly, all the numerical integration methods applicable to single- and multi-degree of freedom systems, as well as continuous systems, are unified in Chapter 11.

Specific features include the following:

Nearly 130 Illustrative examples accompanying most topics.

More than 50 review questions to help students in reviewing and testing their understanding of the text material.

Approximately 850 problems, with solutions in the instructor's manual.

More than 30 design project type problems at the ends of various chapters.

Twenty-three computer programs to aid students in the numerical implementation of the methods discussed in the text.

Biographical information about scientists and engineers who contributed to the development of the theory of vibrations given on the opening pages of chapters and appendixes.

A convenient format for all examples: Following the statement of each example, the known information, the quantities to be determined, and the approach to be used are first identified and then the detailed solution is given. Notation and Units

Both the SI and the English system of units have been used in the examples and problems. A list of symbols, along with the associated units in SI and English systems, is given following the Contents. A brief discussion of SI units as they apply to the field of vibrations is given in Appendix E. Arrows are used over symbols to denote column vectors and square brackets are used to indicate matrices. Contents

Mechanical Vibrations is organized into 14 chapters and 5 appendixes. The material of the book provides flexible options for different types of vibration courses. For a one-semester senior or duel-level course, Chapters 1 through 5, portions of Chapters 6, 7, 8, and 10, and Chapter 9 may be used. The course can be given a computer orientation by including Chapter 11 in place of Chapter 8. Alternatively, with Chapters 12, 13, and 14, the text has sufficient material for a one-year sequence at the senior level. For shorter courses, the instructor can select the topics, depending on the level and orientation of the course. The relative simplicity with which topics are presented also makes the book useful to practicing engineers for purposes of self-study and as a source of references and computer programs.

Chapter 1 starts with a brief discussion of the history and importance of vibrations. The basic concepts and terminology used in vibration analysis are introduced. The free vibration analysis of single degree of freedom undamped translational and torsional systems is given in Chapter 2. The effects of viscous, Coulomb, and hysteretic damping are also discussed. The harmonic response of single degree of freedom systems is considered in Chapter 3. Chapter 4 is concerned with the response of a single degree of freedom system under general forcing functions. The roles of convolution integral, Laplace transformation, and numerical methods are discussed. The concept of response spectrum is also introduced in this chapter. The free and forced vibration of two degree of freedom systems is considered in Chapter 5. The self-excited vibration and stability of the system are discussed. Chapter 6 presents the vibration analysis of multi-degree of freedom systems. Matrix methods of analysis are used for the presentation of the theory. The modal analysis procedure is described for the solution of forced vibration problems. Several methods of determining the natural frequencies of discrete systems are outlined in Chapter 7. The methods of Dunkerley, Rayleigh, Holzer, and Jacobi and matrix iteration are also discussed. The vibration analysis of continuous systems, including strings, bars, shafts, beams, and membranes is given in Chapter 8. The Rayleigh and Rayleigh-Ritz methods of finding the approximate natural frequencies are also described. Chapter 9 discusses the various aspects of vibration control, including the problems of elimination, isolation, and absorption. The balancing of rotting and reciprocating machines and the whirling of shafts are also considered. The vibration-measuring instruments, vibration exciters, and signal analysis are the topics of Chapter 10. Chapter 11 presents several numerical integration techniques for finding the dynamic response of discrete and continuous systems. The central difference, Runge-Kutta, Houbolt, Wilson, and Newmark methods are summarized and illustrated. Finite element analysis, with applications involving one-dimensional elements, is discussed in Chapter 12. An introductory treatment of nonlinear vibration, including a discussion of subharmonic and superharmonic oscillations, limit cycles, systems with time-dependent coefficients and chaos, is given in Chapter 13. The random vibration of linear vibration systems is considered in Chapter 14. Appendixes A and B focus on mathematical relationships and deflection of beams and plates, respectively. Finally, the basic relations of matrices, Laplace transforms, and SI units are outlined, respectively, in Appendixes C, D, and E. Acknowledgments

I would like to express my appreciation to the many students and faculty whose comments have helped me improve this edition. I am most grateful to the following people for reviewing the book and/or offering their comments, suggestions, and ideas: Richard Alexander, Texas A&M University; C. W. Bert, University of Oklahoma; Raymond M. Brach, University of Notre Dame; Alfonso Diaz-Jimenez, Universidad Distrital "Francisco Jose de Caldas," Colombia; George Doyle, University of Dayton; Hamid Hamidzadeh, South Dakota State University; H. N. Hashemi, Northeastern University; Zhikun Hou, Worcester Polytechnic Institute; J. Richard Houghton, Tennessee Technological University; Faryar Jabbari, University of California-Irvine; Robert Jeffers, University of Connecticut; Richard Keltie, North Carolina State University; J. S. Lamancusa, Pennsylvania State University; Harry Law, Clemson University; Robert Leonard, Virginia Polytechnic Institute and State University; James Li, Columbia University; Sameer Madanshetty, Boston University; M. G. Prasad, Stevens Institute of Technology; F. P. J. Rimrott, University of Toronto; Subhash Sinha, Auburn University; Daniel Stutts, University of Missouri-Rolla; Massoud Tavakoli, Georgia Institute of Technology; Theordore Terry, Lehigh University; Chung Tsui, University of Maryland-College Park; Alexander Vakakis, University of Illinois-Urbana Champaign; Chuck Van Karsen, Michigan Technological University; Aleksandra Vinogradov, Montana State University; K. W. Wang, Pennsylvania State University; William Webster, GMI Engineering and Management Institute.

It has been gratifying to work with the staff of Addison-Wesley throughout this revision. In particular, the help of Stuart Johnson, Publishing Partner, has been most valuable. Helen Wythe, Senior Production Supervisor, and Marybeth Mooney, Production Coordinator, handled the task of incorporating my corrections and revisions very efficiently. I would like to thank Purdue University for granting me permission to use the Boilermaker Special in Problem 2.82. Finally, I wish to thank my wife, Kamala, and daughters Sridevi and Shobha without whose patience, encouragement, and support this edition might never have been completed.

S. S. Rao --This text refers to an out of print or unavailable edition of this title.


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Product Details

  • Hardcover: 1078 pages
  • Publisher: Prentice Hall; 4 edition (April 10, 2003)
  • Language: English
  • ISBN-10: 0130489875
  • ISBN-13: 978-0130489876
  • Product Dimensions: 7.7 x 1.6 x 9.4 inches
  • Shipping Weight: 3.6 pounds
  • Average Customer Review: 3.7 out of 5 stars  See all reviews (33 customer reviews)
  • Amazon Best Sellers Rank: #501,196 in Books (See Top 100 in Books)

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Customer Reviews

Most Helpful Customer Reviews

43 of 44 people found the following review helpful By A Customer on December 7, 1999
Format: Hardcover
I recently used this as a text to teach Vibrations to Mechanical Engineering seniors after Vibration Analysis by Vierck went out of print. I was attracted to Rao's book because much of the presentation is similar to Vierck. After using this text for one semester, I was not satisfied. I was particularly concerned by Chapter 2 where the fundamentals of damped single degree of freedom systems are covered. This Chapter is critical to building the foundation of Vibration Theory and I was disturbed to find that two critical plots, the time history comparison of responses with various damping levels and the phase plane plot for the same cases were seriously incorrect. While errors always can be found in texts, these plots were so obviously wrong at first glance that I wondered how a book with 29 reviewers (as listed in the Acknowledgements) has such glaring errors. As I progressed through the text I found a number of other errors including incorrect equations in some places. I also found that some material, emphasized in Vierck, that I consider important was buried in the worked examples rather than being emphasized as part of the book's text. While the book does present a lot of material and gives some interesting problems, I found that I was not comfortable with the text at the end of the course. I have since decided to drop this book from consideration as our text.
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20 of 20 people found the following review helpful By A Customer on January 10, 2003
Format: Hardcover
This book in my opinion is not the one to enjoy the beauty of the subject and mechanics in general. There is a vast amount of material amassed but the structure of the book is poor.
It seems being overburden with details and particulars and lacking unified clear consistent approach. In addition some mistakes are just plain annoying. If one wants to be serious about vibrations - do not sweat over this book. It can be just another somewhat usefull reference book to find some particular solution to for some particular problem.
Instead one can study mechanics with beautifully written classical L.Meirovitch, "Fundamentals of Vibrations" which is much more original, rigorous, clear, usefull and serious book to have.
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9 of 10 people found the following review helpful By A Customer on May 7, 2000
Format: Hardcover
I used this textbook for my Mechanical Vibrations course and was very displeased with it. My biggest gripe is the lack of examples in each chapter. There are an abundance of homework problems at the end of each chapter, but the vast majority of them are not illustrated at all in example problems. I noticed this immediately in Chapter 1 when attempting to solve several of the problems. The text also develops equations and formulas without detail and explanation. Luckily my teacher developed the eqations in class lecture and provided the majority of information for the course. While working out homework and test problems that were assigned, the book was of little use for me. I think the clarity of writing could be better, as well. By the way, I got an A in the course and still found the book to be poor.
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5 of 5 people found the following review helpful By T. K. Vogel on December 10, 2005
Format: Hardcover
I found this book to be very hard to understand, and not very systematic. in some of the examples it is assumed that you know how to do all the math, or you understand entirely the thought process. Maybe there is not a better text, but compared to my other engineering text books, I would say this is one of the worst that i have used. It seems that it would be better for those who have a strong understanding of dynamics. Not introductory courses to the subject.

And again one of the largest drawbacks that i found was it did not have great examples, some were good, some were ok, but they did not cover the sections well in my opinion.

Also one of the most annoying things is a formula that we used extensively for 3 weeks was found in an example, not in the text where it should have been for those who don't fully examine the examples.
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4 of 4 people found the following review helpful By A Customer on July 28, 1998
Format: Hardcover
On the surface, this text seems to cover everything and seems well-organized. However, further examination will reveal that it is often unclear and seems to skip or briefly mention many important subjects. Further, there are not nearly enough examples to convey the subject matter to the average undergraduate engineering student. Unfortunately, it has been my experience (after 6 years as a mechanical engineering student) that there are hardly any well-written texts on the subject of mechanical vibrations. This one only reinforces that notion.
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6 of 7 people found the following review helpful By on November 29, 1999
Format: Hardcover
This text was used during my senior year for two consecutive mechanical engineering courses I had at Penn State. I found the presentation of the material very thorough and logically ordered. My only issue with the book was when we dug into the first chapter. I was a bit overwhelmed because, although the first chapter is just an overview of vibration, it is very broad, yet detailed. All subsequent chapters were very well focused, easy to follow, and illustrative of important concepts.
I put the book away after graduation, but soon got it out again, finding that it is a wonderful tool in the field... definitely worth it.
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2 of 2 people found the following review helpful By A Customer on March 22, 1999
Format: Hardcover
This book is one of the worst I have ever read. Although it seems well structured and covers many materials, the overall content just overwhelms the undergraduate student will many details and forces them to lose the whole point. The bottomline: buy it if you're a professor and knows the materials. But don't buy it if you ever want to learn vibrations extremely extremely well. I have to go search for another text to understand really what is going on. Better off without it....other than using it as a hw problem book.
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