Autoparametric Resonance in Mechanical Systems
Autoparametric Resonance in Mechanical Systems
Thijs Ruijgrok , Universiteit Utrecht, The Netherlands
Ferdinand Verhulst , Universiteit Utrecht, The Netherlands
Radoslav Nabergoj , Università degli Studi di Trieste
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USDWhen a mechanical system consists of two or more coupled vibrating components, the vibration of one of the component subsystems may destabilize the motion of the other components. This destabilization effect is called autoparametric resonance. It is a concept that has important engineering applications. For example, vibrations in a pipeline induced by high-speed gas flows must be considered in the design and operation of the pipeline. This book is the first completely devoted to the subject of autoparametric resonance in an engineering context. Using the tools of nonlinear analysis, the authors show how to carry out the first crucial step, that is, how to determine the regions of parameter space where the semi-trivial solution is unstable. They describe what happens in these regions and then discuss non-trivial solutions and their stability. The study of autoparametric systems is a lively area of current research in engineering and applied mathematics, and this book will appeal to graduate students and research workers in both disciplines.
- Only available book covering autoparametric resonance in engineering
- The authors are internationally recognised experts in the field
- Offers a lucid explanation of this potentially difficult subject
Reviews & endorsements
"The authors are to be congratulated on producing a volume that must stimulate everyone anxious not only to keep abreast with a field that shows such a vibrant and perhaps surprising amount of new phenommena and challenges to both engineers and mathematicians, but also to contribute to its development through inspiration derived from this book. Both in style and in content, the book is so impressive and inspirational that a wider appeal, amongst the target audience of engineers and mathematicians, is assured, leading to several exciting new possibilities." Current Engineering Practice
"...interesting and useful..." Technische Meckanik
"The figures are clearly drawn, and the book has a nice appearance...a good source of material for someone that is interested in the general area of nonlinear vibration, in particular, motion of autoparametric systems...an excellent monograph, and this reviewer recommends it for researchers, graduate students, and libraries." Applied Mechanics Reviews
Product details
April 2000Hardback
9780521650793
208 pages
229 × 152 × 16 mm
0.48kg
78 b/w illus.
Available
Table of Contents
- Preface
- 1. Introduction
- 2. Basic properties
- 3. Elementary discussion of single-mass systems
- 4. Mass-spring-pendulum systems
- 5. Models with more pendula
- 6. Ship models
- 7. Flow-induced vibrations
- 8. Rotor dynamics
- 9. Mathematical methods and ideas
- Bibliography
- Index.
