Engineering Vibrations, Second Edition

A thorough study of the oscillatory and transient motion of mechanical and structural systems, Engineering Vibrations, Second Edition presents vibrations from a unified point of view, and builds on the first edition with additional chapters and sections that contain more advanced, graduate-level topics. Using numerous examples and case studies, the author reviews basic principles, incorporates advanced abstract concepts from first principles, and weaves together physical interpretation and fundamental principles with applied problem solving. This revised version combines the physical and mathematical facets of vibration, and emphasizes the connecting ideas, concepts, and techniques. Front Cover 1 Dedication 6 Contents 8 Preface to the Second Edition 16 Preface to the First Edition 18 About the Author 22 1. Preliminaries 24 2. Free Vibration of Single Degree of Freedom Systems 94 3. Forced Vibration of Single Degree of Freedom Systems – 1: Periodic Excitation 158 4. Forced Vibration of Single Degree of Freedom Systems – 2: Nonperiodic Excitation 236 5. Operational Methods 278 6. Dynamics of Multi-Degree of Freedom Systems 290 7. Free Vibration of Multi-Degree of Freedom Systems 340 8. Forced Vibration of Multi-Degree of Freedom Systems 408 9. Dynamics of One-Dimensional Continua 498 10. Free Vibration of One-Dimensional Continua 560 11. Forced Vibration of One-Dimensional Continua 654 12. Dynamics of Two-Dimensional Continua 694 13. Free Vibration of Two-Dimensional Continua 760 14. Forced Vibration of Two-Dimensional Continua 890 PRELIMINARIESDegrees of FreedomEquivalent SystemsSprings Connected in Parallel and in SeriesA Brief Review of Complex NumbersA Review of Elementary DynamicsConcluding RemarksBibliographyProblemsFREE VIBRATION OF SINGLE DEGREE OF FREEDOM SYSTEMSFree Vibration of Undamped SystemsFree Vibration of Systems with Viscous DampingCoulomb (Dry Friction) DampingConcluding RemarksBibliographyProblemsFORCED VIBRATION OF SINGLE DEGREE OF FREEDOM SYSTEMS - 1: PERIODIC EXCITATIONStandard Form of the Equation of MotionSuperpositionHarmonic ForcingStructural DampingSelected ApplicationsResponse to General Peri