com LIBROS UNIVERISTARIOS Y SOLUCIONARIOS DE MUCHOS DE ESTOS LIBROS LOS SOLUCIONARIOS CONTIENEN TODOS LOS EJERCICIOS DEL LIBRO RESUELTOS Y EXPLICADOS DE FORMA CLARA VISITANOS PARA DESARGALOS GRATIS. CUSTOMARY UNITS AND SI UNITS (Continued) Times conversion factor U. Customary unit Equals SI unit Accurate Practical Moment of inertia (area) inch to fourth power in.4 416,231 416,000 millimeter to fourth power mm4 inch to fourth power in.416 106 meter to fourth power m4 Moment of inertia (mass) slug foot squared slug-ft2 1.36 kilogram meter squared kg·m2 Power foot-pound per second ft-lb/s 1.36 watt (J/s or N·m/s) W foot-pound per minute ft-lb/min 0.0226 watt W horsepower (550 ft-lb/s) hp 745.701 746 watt W Pressure; stress pound per square foot psf 47.9 pascal (N/m2) Pa pound per square inch psi 6894.76 6890 pascal Pa kip per square foot ksf 47.9 kilopascal kPa kip per square inch ksi 6.89 megapascal MPa Section modulus inch to third power in.1 16,400 millimeter to third power mm3 inch to third power in.4 106 meter to third power m3 Velocity (linear) foot per second ft/s 0.305 meter per second m/s inch per second in.0254 meter per second m/s mile per hour mph 0.447 meter per second m/s mile per hour mph 1.61 kilometer per hour km/h Volume cubic foot ft3 0.0283 cubic meter m3 cubic inch in.4 106 cubic meter m3 cubic inch in.4 cubic centimeter (cc) cm3 gallon (231 in.79 liter L gallon (231 in.00379 cubic meter m3 *An asterisk denotes an exact conversion factor Note: To convert from SI units to USCS units, divide by the conversion factor 5 Temperature Conversion Formulas T(°C) [T(°F) 32] T(K) 273.67 5 5 Copyright 2011 Cengage Learning. All Rights Reserved.
May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it.
This is an electronic version of the print textbook. Due to electronic rights restrictions, some third party content may be suppressed. Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. The publisher reserves the right to remove content from this title at any time if subsequent rights restrictions require it.
For valuable information on pricing, previous editions, changes to current editions, and alternate formats, please visit www.com/highered to search by ISBN#, author, title, or keyword for materials in your areas of interest. Copyright 2011 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part.
Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. GRAHAM KELLY THE UNIVERSITY OF AKRON Australia • Brazil • Japan • Korea • Mexico • Singapore • Spain • United Kingdom • United States Copyright 2011 Cengage Learning.
All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience.
Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. About the Author S. Graham Kelly received a B. in engineering science and mechanics, in 1975, a M.S in engineering mechanics, and a Ph.
in engineering mechanics in 1979, all from Virginia Tech. He served on the faculty of the University of Notre Dame from 1979 to 1982. Kelly has served on the faculty at The University of Akron where he has been active in teaching, research, and administration. Besides vibrations, he has taught undergraduate courses in statics, dynamics, mechan- ics of solids, system dynamics, fluid mechanics, compressible fluid mechanics, engineering probability, numerical analysis, and freshman engineering.
Kelly’s graduate teaching includes courses in vibrations of discrete systems, vibrations of continuous systems, con- tinuum mechanics, hydrodynamic stability, and advanced mathematics for engineers. Kelly is the recipient of the 1994 Chemstress award for Outstanding Teacher in the College of Engineering at the University of Akron. Kelly is also known for his distinguished career in academic administration. His service includes stints as Associate Dean of Engineering, Associate Provost, and Dean of Engineering from 1998 to 2003.
While serving in administration, Dr. Kelly continued teaching at least one course per semester. Since returning to the faculty full-time in 2003, Dr. Kelly has enjoyed more time for teaching, research, and writing projects.
He regularly advises graduate students in their research work on topics in vibrations and solid mechanics. Kelly is also the author of System Dynamics and Response, Advanced Vibration Analysis, Advanced Engineering Mathematics with Modeling Applications, Fundamentals of Mechanical Vibrations (First and Second Editions) and Schaum’s Outline in Theory and Problems in Mechanical Vibrations. Copyright 2011 Cengage Learning. All Rights Reserved.
May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). v Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it.
Preface to the SI Edition This edition of Mechanical Vibrations: Theory and Applications has been adapted to incorporate the International System of Units (Le Système International d’Unités or SI) throughout the book. Le Systeme International d' Unites The United States Customary System (USCS) of units uses FPS (foot-pound-second) units (also called English or Imperial units). SI units are primarily the units of the MKS (meter- kilogram-second) system. However, CGS (centimeter-gram-second) units are often accepted as SI units, especially in textbooks.
Using SI Units in this Book In this book, we have used both MKS and CGS units. USCS units or FPS units used in the US Edition of the book have been converted to SI units throughout the text and prob- lems. However, in case of data sourced from handbooks, government standards, and prod- uct manuals, it is not only extremely difficult to convert all values to SI, it also encroaches upon the intellectual property of the source. Also, some quantities such as the ASTM grain size number and Jominy distances are generally computed in FPS units and would lose their relevance if converted to SI.
Some data in figures, tables, examples, and references, therefore, remains in FPS units. For readers unfamiliar with the relationship between the FPS and the SI systems, conversion tables have been provided inside the front and back covers of the book. To solve problems that require the use of sourced data, the sourced values can be con- verted from FPS units to SI units just before they are to be used in a calculation. To obtain standardized quantities and manufacturers’ data in SI units, the readers may contact the appropriate government agencies or authorities in their countries/regions.
Instructor Resources A Printed Instructor’s Solution Manual in SI units is available on request. An electronic version of the Instructor’s Solutions Manual, and PowerPoint slides of the figures from the SI text are available through http://login. The readers’ feedback on this SI Edition will be highly appreciated and will help us improve subsequent editions. The Publishers vi 2011 Cengage Learning.
All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience.
Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. Preface E ngineers apply mathematics and science to solve problems. In a traditional under- graduate engineering curriculum, students begin their academic career by taking courses in mathematics and basic sciences such as chemistry and physics. Students begin to develop basic problem-solving skills in engineering courses such as statics, dynam- ics, mechanics of solids, fluid mechanics, and thermodynamics.
In such courses, students learn to apply basic laws of nature, constitutive equations, and equations of state to devel- op solutions to abstract engineering problems. Vibrations is one of the first courses where students learn to apply the knowledge obtained from mathematics and basic engineering science courses to solve practical problems. While the knowledge about vibrations and vibrating systems is important, the problem-solving skills obtained while studying vibrations are just as important. The objectives of this book are two- fold: to present the basic principles of engineering vibrations and to present them in a frame- work where the reader will advance his/her knowledge and skill in engineering problem solving.
This book is intended for use as a text in a junior- or senior-level course in vibrations. It could be used in a course populated by both undergraduate and graduate students. The latter chapters are appropriate for use as a stand-alone graduate course in vibrations. The prerequi- sites for such a course should include courses in statics, dynamics, mechanics of materials, and mathematics using differential equations.
Some material covered in a course in fluid mechan- ics is included, but this material can be omitted without a loss in continuity. Chapter 1 is introductory, reviewing concepts such as dynamics, so that all readers are familiar with the terminology and procedures. Chapter 2 focuses on the elements that com- prise mechanical systems and the methods of mathematical modeling of mechanical systems. It presents two methods of the derivation of differential equations: the free-body diagram method and the energy method, which are used throughout the book.
Chapters 3 through 5 focus on single degree-of-freedom (SDOF) systems. Chapter 6 is focused solely on two degree-of-freedom systems. Chapters 7 through 9 focus on general multiple degree-of-freedom systems. Chapter 10 provides a brief overview of continuous systems.
The topic of Chapter 11 is the finite-element methods, which is a numerical method with its origin in energy meth- ods, allowing continuous systems to be modeled as discrete systems. Chapter 12 introduces the reader to nonlinear vibrations, while Chapter 13 provides a brief introduction to random vibrations. The references at the end of this text list many excellent vibrations books that address the topics of vibration and design for vibration suppression. There is a need for this book, as it has several unique features: • Two benchmark problems are studied throughout the book.
Statements defining the generic problems are presented in Chapter 1. Assumptions are made to render SDOF models of the systems in Chapter 2 and the free and forced vibrations of the systems studied in Chapters 3 through 5, including vibration isolation. Two degree-of-freedom system models are considered in Chapter 6, while MDOF models are studied in Copyright 2011 Cengage Learning. All Rights Reserved.
May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). vii Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it.
viii Preface Chapters 7 through 9. A continuous-systems model for one benchmark problem is considered in Chapter 10 and solved using the finite-element method in Chapter 11. A random-vibration model of the other benchmark problem is considered in Chapter 13. The models get more sophisticated as the book progresses.
• Most vibration problems (certainly ones encountered by undergraduates) involve the planar motion of rigid bodies.
