Vibrations of Engineering Structures

  • C. A. Brebbia
  • G. B. Warburton
  • R. R. Wilson
  • H. Tottenham
  • J. M. Wilson

Part of the Lecture Notes in Engineering book series (LNENG, volume 10)

Table of contents

  1. Front Matter
    Pages I-VI
  2. G. B. Warburton
    Pages 1-24
  3. R. R. Wilson
    Pages 25-44
  4. R. R. Wilson
    Pages 64-83
  5. G. B. Warburton
    Pages 92-103
  6. C. A. Brebbia
    Pages 104-129
  7. J. Wilson
    Pages 151-175
  8. R. R. Wilson
    Pages 176-194
  9. J. Wilson
    Pages 195-214
  10. G. B. Warburton
    Pages 215-224
  11. C. A. Brebbia
    Pages 225-250
  12. H. Tottenham
    Pages 251-264
  13. H. Tottenham
    Pages 265-272
  14. H. Tottenham
    Pages 273-279
  15. Back Matter
    Pages 303-303

About this book

Introduction

The increasing size and complexity of new structural forces in engineering have made it necessary for designers to be aware of their dynamic behaviour. Dynamics is a subject which has traditionally been poorly taught in most engineering courses. This book was conceived as a way of providing engineers with a deeper knowledge of dynamic analysis and of indicating to them how some of the new vibrations problems can be solved. The authors start from basic principles to end up with the latest random vibration applications. The book originated 1n a week course given annually by the authors at the Computational Mechanics Centre, Ashurst Lodge, Southampton, England. Special care was taken to ensure continuity in the text and notations. Southampton 1984 CONTENTS Page Foreword Chapter 1 Introduction to Vibration 1. Introductory Remarks 1 2. Single Degree of Freedom Systems: Equations of Motion and Types of Problem 2 3. Response 6 4. General Structures: Equations of Motion 11 5. Response 15 6. Dynamic Interaction Problems 20 Chapter 2 Free Vibration, Resonance and Damping l. Introduction 25 25 2. Spring-Mass System 3. Simple Pendulum 27 4. Beam with Central Load 28 5. Rolling of a Ship 28 6. Springs in Parallel 30 7. Springs in Series 30 8. Free Vibration 31 9. Energy of Vibrating System 33 10. Damped Free Vibration 34 11. Undamped Forced Response 38 12. Damped Forced Response 39 13. Undamped Transient Vibration 42 14. Damped Transient Vibration 43 15.

Keywords

Engineering Structures Vibrations beam foundation structure

Authors and affiliations

  • C. A. Brebbia
    • 1
  • G. B. Warburton
    • 2
  • R. R. Wilson
    • 3
  • H. Tottenham
    • 4
  • J. M. Wilson
    • 5
  1. 1.Civil Engineering Dept.University of SouthamptonSouthamptonUK
  2. 2.Dept. of Mechanical Engg.The University of NottinghamNottinghamUK
  3. 3.James Howden & Company LimitedGlasgowScotland
  4. 4.RomseyUK
  5. 5.Dept. of EngineeringUniversity of Durham Science LaboratoriesDurhamUK

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-82390-9
  • Copyright Information Springer-Verlag Berlin Heidelberg 1985
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-13959-1
  • Online ISBN 978-3-642-82390-9
  • Series Print ISSN 0176-5035
  • About this book