Vibration of Mechanical Systems

Alok Sinha

• Publisher: Cambridge University Press
• Year: 2010
• Print ISBN: 9780521518734
• eBook ISBN: 9780511771613
• Topic: Naturwissenschaften
• Subtopic: Strömungsmechanik

This is a textbook for a first course in mechanical vibrations. There are many books in this area that try to include everything, thus they have become exhaustive compendiums, overwhelming for the undergraduate. In this book, all the basic concepts in mechanical vibrations are clearly identified and presented in a concise and simple manner with illustrative and practical examples. Vibration concepts include a review of selected topics in mechanics; a description of single-degree-of-freedom (SDOF) systems in terms of equivalent mass, equivalent stiffness, and equivalent damping; a unified treatment of various forced response problems (base excitation and rotating balance); an introduction to systems thinking, highlighting the fact that SDOF analysis is a building block for multi-degree-of-freedom (MDOF) and continuous system analyses via modal analysis; and a simple introduction to finite element analysis to connect continuous system and MDOF analyses. There are more than sixty exercise problems, and a complete solutions manual. The use of MATLAB® software is emphasized.

Table of contents

• Cover
• Half-title
• Title
• Copyright
• Dedication
• CONTENTS
• PREFACE
• 1 EQUIVALENT SINGLE-DEGREE-OF-FREEDOM SYSTEM AND FREE VIBRATION
• 2 VIBRATION OF A SINGLE-DEGREE-OF-FREEDOM SYSTEM UNDER CONSTANT AND PURELY HARMONIC EXCITATION
• 3 RESPONSES OF AN SDOF SPRING–MASS–DAMPER SYSTEM TO PERIODIC AND ARBITRARY FORCES
• 4 VIBRATION OF TWO-DEGREE-OF-FREEDOM-SYSTEMS
• 5 FINITE AND INFINITE (CONTINUOUS) DIMENSIONAL SYSTEMS
• APPENDIX A: EQUIVALENT STIFFNESSES (SPRING CONSTANTS) OF BEAMS, TORSIONAL SHAFT, AND LONGITUDINAL BAR
• APPENDIX B: SOME MATHEMATICAL FORMULAE
• APPENDIX C: LAPLACE TRANSFORM TABLE
• REFERENCES
• INDEX