An Instructor s Solutions Manual to Accompany MECHANICAL VIBRATIONS: THEORY AND APPLICATIONS, 1 ST EDITION S. GRAHAM KELLY
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INSTRUCTOR'S SOLUTIONS MANUAL TO ACCOMPANY MECHANICAL VIBRATIONS THEORY AND APPLICATIONS FIRST EDITION S. GRAHAM KELLY
Contents Preface vii Chapter 1 1 Chapter 2 55 Chapter 3 134 Chapter 4 220 Chapter 5 369 Chapter 6 424 Chapter 7 526 Chapter 8 660 Chapter 9 727 Chapter 10 765 Chapter 11 853 Chapter 12 921 Chapter 13 993
Preface Mechanical vibrations is an applied engineering science. Students learn to apply previously learned sciences to realistic engineering problems. Students apply material learned in courses in statics, dynamics, mechanics of solids, fluid mechanics, calculus, differential equations and linear algebra to the solution of vibrations problems. The difference between a vibrations course and the aforementioned courses is the mathematical modeling aspect of vibrations. While studying vibrations students learn about mathematical modeling of systems with time as an independent variable. Students learn about assumptions made during the modeling process, coordinates and variables used, application of the basic laws of nature (including drawing of free-body diagrams), solving the mathematical problem, putting the solution in a form that can be used and most importantly how to interpret the solution to answer a given problem. Thus students learn the basic theory of mechanical vibrations and its application to problem solution and design. Mechanical vibrations is a precursor to engineering design. The purpose of an Instructor s Solution Manual is to provide solutions to end-ofchapter problems in the manner solved in the text. That is why this Solutions Manual is so lengthy. The solution to the vast majority of the problems is presented in such a way that is easy to follow. The end-of-chapter problems are broken into two types. Short answer questions are concept questions addressing the reader s understanding of basic concepts. They are broken into four subtypes: true/false, short answer, short calculation, and dimensions. The true/false questions ask the reader to evaluate a statement for its veracity and either explain why it is true or rewrite it to make the statement true. Short answer problems require the reader to formulate a short answer to a question while short calculation questions require the reader to make short calculations to test understanding of the concepts. The questions on dimensions are included for most chapters to review dimensions of basic quantities used in the chapter. The solutions to short answer questions are presented without the problem statement. Chapter problems involve lengthier calculations and may involve concepts form more than one chapter. The solutions of chapter problems are presented with a problem statement, a review of what is given in the problem statement with symbols assigned, a statement of what is desired in the solution, the solution of the problem and a statement regarding what the problem illustrates. The solution of the problem is presented in detail in most problems. This makes it easier for an instructor to decide what problems to assign. vii 2012 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
The author acknowledges the help of his wife, Seala Fletcher-Kelly in preparing the figures and organizing the manual. However any mistakes in the solutions are solely mine. I would appreciate being informed of mistakes as you find them at sgraham@uakron.edu. That way I can post errata on the website for the book. S. Graham Kelly viii 2012 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.