Mechanical Vibrations

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  • Edition: 4th
  • Format: Hardcover
  • Copyright: 2011-01-01
  • Publisher: Pearson College Div
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With an emphasis on computer techniques of analysis, this book presents the theory, computational aspects, and applications of vibrations in as simple a manner as possible.This text gives expanded explanations of the fundamentals of vibration including history of vibration, degree of freedom systems, vibration control, vibration measurement, and more.For engineers and other professionals who want a clear introduction to vibration engineering.

Table of Contents

(NOTE: Each chapter concludes with Examples Using MATLAB, C++ Program, Fortran Program, References, Review Questions, Problems, and Design Projects.)
1. Fundamentals of Vibration.
2. Free Vibration of Single Degree of Freedom Systems.
3. Harmonically Excited Vibration.
4. Vibration Under General Forcing Conditions.
5. Two Degree of Freedom Systems.
6. Multidegree of Freedom Systems.
7. Determination of Natural Frequencies and Mode Shapes.
8. Continuous Systems.
9. Vibration Control.
10. Vibration Measurement and Applications.
11. Numerical Integration Methods in Vibration Analysis.
12. Finite Element Method.
13. Nonlinear Vibration.
14. Random Vibration.
Appendix A: Mathematical Relationships.
Appendix B: Deflection of Beams and Plates.
Appendix C: Matrices.
Appendix D: Laplace Transform Pairs.
Appendix E: Units.
Appendix F: Introduction to MATLAB.
Answers to Selected Problems.


This book 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 fourth edition of this book. Several new features 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: More than 900 new review questions have been added to help students in reviewing and testing their understanding of the text material. The review questions include multiple choice questions, questions with brief answers, true-false questions, questions involving matching of related descriptions, and fill-in-the-blank type questions. A new appendix has been added to introduce the basic ideas of MATLAB programming. Several MATLAB-based examples are included in every chapter. General-purpose computer programs using MATLAB, C++, and Fortran programming are given, along with applications, in all chapters for the solution of vibration problems. Several new problems-including problems that are based on the use of MATLAB, C++, and Fortran problems-are given at the end of each chapter to expose students to many important computational and programming details. Answers to the review questions and the source codes of all MATLAB, C++, and Fortran programs are posted at the website of the book. More than 50 new illustrative examples appear throughout the book. More than 100 new problems have been added at the ends of various chapters. Features Each topic inMechanical Vibrationsis self-contained, with all concepts explained fully and the derivations presented with complete details. The computational aspects are emphasized throughout the book. MATLAB-based examples are given in all chapters. Several MATLAB, interactive C++, and Fortran computer programs, most of them in the form of general purpose subroutines, are included in all the chapters. These programs are intended for use by the students. Although the programs have been tested, no warranty is implied as to their accuracy. Examples as well as problems that are based on the use of the various computer programs are given in each chapter to 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: More than 200 illustrative examples accompanying most topics. More than 900 review questions to help students in reviewing and testing their understanding of the text material. More than 1000 problems, with solutions in the instructor's manual. More than 30 design proje

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