About this product

Product Identifiers

PublisherWiley & Sons, Incorporated, John

ISBN-101118675150

ISBN-139781118675151

eBay Product ID (ePID)234941156

Product Key Features

Number of Pages288 Pages

LanguageEnglish

Publication NameMechanical Vibration : Fundamentals with Solved Examples

Publication Year2017

SubjectWaves & Wave Mechanics, Drafting & Mechanical Drawing

TypeTextbook

Subject AreaTechnology & Engineering, Science

AuthorDragi Radomirovic, Ivana Kovacic

FormatHardcover

Dimensions

Item Height0.7 in

Item Weight20.8 Oz

Item Length9.7 in

Item Width6.8 in

Additional Product Features

Intended AudienceScholarly & Professional

LCCN2017-026938

Dewey Edition23

IllustratedYes

Dewey Decimal620.3

Table Of ContentAbout the Authors ix Preface xi 1 Preliminaries 1 Chapter Outline 1 Chapter Objectives 1 1.1 From Statics 1 1.1.1 Mechanical Systems and Equilibrium Equations 1 1.1.2 Constraints and Free-Body Diagrams 1 1.1.3 Equilibrium Condition Via Virtual Work 2 1.2 From Kinematics 4 1.2.1 Kinematics of Particles 4 1.2.2 Kinematics of Rigid Bodies 5 1.2.3 Kinematics of Particles in Compound Motion 7 1.3 From Kinetics 8 1.3.1 Kinetics of Particles 8 1.3.2 Kinetics of Rigid Bodies 9 1.4 From Strength of Materials 13 1.4.1 Axial Loading 13 1.4.2 Torsion 14 1.4.3 Bending 14 2 Lagrange's Equation for Mechanical Oscillatory Systems 17 Chapter Outline 17 Chapter Objectives 17 2.1 About Lagrange's Equation of the Second Kind 17 2.2 Kinetic Energy in Mechanical Oscillatory Systems 19 2.3 Potential Energy in Mechanical Oscillatory Systems 21 2.3.1 Gravitational Potential Energy 22 2.3.2 Potential Energy of a Spring (Elastic Potential Energy) 24 2.4 Generalised Forces in Mechanical Oscillatory Systems 27 2.5 Dissipative Function in Mechanical Oscillatory Systems 28 References 30 3 Free Undamped Vibration of Single-Degree-of-Freedom Systems 31 Chapter Outline 31 Chapter Objectives 31 Theoretical Introduction 31 4 Free Damped Vibration of Single-Degree-of-Freedom Systems 67 Chapter Outline 67 Chapter Objectives 67 Theoretical Introduction 67 5 Forced Vibration of Single-Degree-of-Freedom Systems 101 Chapter Outline 101 Chapter Objectives 101 Theoretical Introduction 101 6 Free Undamped Vibration of Two-Degree-of-Freedom Systems 127 Chapter Outline 127 Chapter Objectives 127 Theoretical Introduction 127 7 Forced Vibration of Two-Degree-of-Freedom Systems 153 Chapter Outline 153 Chapter Objectives 153 Theoretical Introduction 153 8 Vibration of Systems with Infinite Number of Degrees of Freedom 183 Chapter Outline 183 Chapter Objectives 183 8.1 Theoretical Introduction: Longitudinal Vibration of Bars 183 8.2 Theoretical Introduction: Torsional Vibration of Shafts 197 8.3 Theoretical Introduction: Transversal Vibration of Beams 207 9 Additional Topics 225 Chapter Outline 225 Chapter Objectives 225 9.1 Theoretical Introduction 225 9.2 Equivalent Two-Element System for Concurrent Springs and Dampers 226 9.2.1 Concurrent Springs 227 9.2.2 Concurrent Dampers 231 9.3 Nonlinear Springs in Series 238 9.3.1 Purely Nonlinear Springs in Series 239 9.3.2 Equal Duffing Springs in Series 239 9.3.3 Two Different Nonlinear Springs 240 9.4 On the Deflection and Potential Energy of Nonlinear Springs: Approximate Expressions 242 9.4.1 Duffing-Type Spring Deformed in the Static Equilibrium Position 242 9.4.2 Duffing-Type Spring Undeformed in the Static Equilibrium Position 242 9.5 Corrections of Stiffness Properties of Certain Oscillatory Systems 244 9.5.1 One-Degree-of-Freedom Systems 245 9.5.2 Two-Degree-of-Freedom Systems 248 Appendix: Mathematical Topics 255 A.1 Geometry 255 A.2 Trigonometry 257 A.3 Algebra 258 A.4 Vectors 258 A.5 Derivatives 259 A.6 Variation (Virtual Displacements) 260 A.7 Series 260 Index 261

SynopsisMechanical oscillators in Lagrange's formalism - a thorough problem-solved approach This book takes a logically organized, clear and thorough problem-solved approach at instructing the reader in the application of Lagrange's formalism to derive mathematical models for mechanical oscillatory systems, while laying a foundation for vibration engineering analyses and design. Each chapter contains brief introductory theory portions, followed by a large number of fully solved examples. These problems, inherent in the design and analysis of mechanical systems and engineering structures, are characterised by a complexity and originality that is rarely found in textbooks. Numerous pedagogical features, explanations and unique techniques that stem from the authors' extensive teaching and research experience are included in the text in order to aid the reader with comprehension and retention. The book is rich visually, including numerous original figures with high-standard sketches and illustrations of mechanisms. Key features: Distinctive content including a large number of different and original oscillatory examples, ranging from simple to very complex ones. Contains many important and useful hints for treating mechanical oscillatory systems. Each chapter is enriched with an Outline and Objectives, Chapter Review and Helpful Hints. Mechanical Vibration: Fundamentals with Solved Examples is essential reading for senior and graduate students studying vibration, university professors, and researchers in industry., This book takes a logically organized, clear and thorough problem-solved approach at instructing the reader in the application of Lagranges formalism to derive mathematical models for mechanical oscillatory systems, while laying a foundation for vibration engineering analyses and design. Each chapter contains brief introductory theory portions, followed by a large number of fully solved examples. These problems, inherent in the design and analysis of mechanical systems and engineering structures, are characterised by a complexity and originality that is rarely found in textbooks. Numerous pedagogical features, explanations and unique techniques that stem from the authors extensive teaching and research experience are included in the text in order to aid the reader with comprehension and retention. The book is rich visually, including numerous original figures with high-standard sketches and illustrations of mechanisms. Key features: Distinctive content including a large number of different and original oscillatory examples, ranging from simple to very complex ones. Contains many important and useful hints for treating mechanical oscillatory systems. Each chapter is enriched with an Outline and Objectives, Chapter Review and Helpful Hints. Mechanical Vibration: Fundamentals with Solved Examples is essential reading for senior and graduate students studying vibration, university professors, and researchers in industry.

LC Classification NumberTA355.K689 2017