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- Herausgeber: John Wiley & Sons
- Kategorie: Fachliteratur
- Sprache: Englisch
An advanced look at vibration analysis with a focus on active vibration suppression
As modern devices, from cell phones to airplanes, become lighter and more flexible, vibration suppression and analysis becomes more critical. Vibration with Control, 2nd Edition includes modelling, analysis and testing methods. New topics include metastructures and the use of piezoelectric materials, and numerical methods are also discussed. All material is placed on a firm mathematical footing by introducing concepts from linear algebra (matrix theory) and applied functional analysis when required.
Key features:
- Combines vibration modelling and analysis with active control to provide concepts for effective vibration suppression.
- Introduces the use of piezoelectric materials for vibration sensing and suppression.
- Provides a unique blend of practical and theoretical developments.
- Examines nonlinear as well as linear vibration analysis.
- Provides Matlab instructions for solving problems.
- Contains examples and problems.
- PowerPoint Presentation materials and digital solutions manual available for instructors.
Vibration with Control, 2nd Edition is an ideal reference and textbook for graduate students in mechanical, aerospace and structural engineering, as well as researchers and practitioners in the field.
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Veröffentlichungsjahr: 2017
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Vibration with Control
Second Edition
Daniel John Inman
University of Michigan, USA
This edition first published 2017
© 2017 John Wiley & Sons, Ltd
All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, except as permitted by law. Advice on how to obtain permission to reuse material from this title is available at http://www.wiley.com/go/permissions.
The right of Daniel John Inman to be identified as the author of this work has been asserted in accordance with law.
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MATLAB® is a trademark of The MathWorks, Inc. and is used with permission. The MathWorks does not warrant the accuracy of the text or exercises in this book. This work's use or discussion of MATLAB® software or related products does not constitute endorsement or sponsorship by The MathWorks of a particular pedagogical approach or particular use of the MATLAB® software. While the publisher and authors have used their best efforts in preparing this work, they make no representations or warranties with respect to the accuracy or completeness of the contents of this work and specifically disclaim all warranties, including without limitation any implied warranties of merchantability or fitness for a particular purpose. No warranty may be created or extended by sales representatives, written sales materials or promotional statements for this work. The fact that an organization, website, or product is referred to in this work as a citation and/or potential source of further information does not mean that the publisher and authors endorse the information or services the organization, website, or product may provide or recommendations it may make. This work is sold with the understanding that the publisher is not engaged in rendering professional services. The advice and strategies contained herein may not be suitable for your situation. You should consult with a specialist where appropriate. Further, readers should be aware that websites listed in this work may have changed or disappeared between when this work was written and when it is read. Neither the publisher nor authors shall be liable for any loss of profit or any other commercial damages, including but not limited to special, incidental, consequential, or other damages.
Library of Congress Cataloging-in-Publication Data
Names: Inman, D. J., author.
Title: Vibration with control / Daniel John Inman.
Description: Second edition. | Chichester, West Sussex, UK ; Hoboken, NJ, USA:
John Wiley & Sons Inc., [2017] | Includes bibliographical references and index.
Identifiers: LCCN 2016048220 | ISBN 9781119108214 (cloth) |
ISBN 9781119108238 (Adobe PDF) | ISBN 9781119108221 (epub)
Subjects: LCSH: Damping (Mechanics). | Vibration.
Classification: LCC TA355 .I523 2017 | DDC 620.3--dc23 LC record available at
https://lccn.loc.gov/2016048220
Cover Images: (background) © jm1366/Getty Images, Inc.; (left to right) © Teun van den Dries / Shutterstock.com; © simonlong/Getty Images, Inc.; © Edi_Eco/Getty Images, Inc.; © karnaval2018 / Shutterstock.com; © Stefano Borsani / iStockphoto
Cover Design: Wiley
This book is dedicated to our grand children
Griffin Amherst PitreBenjamin Lafe ScamaccaLauren Cathwren ScamaccaConor James ScamaccaJacob Carlin Scamacca
And our children
Daniel John Inman, IIAngela Wynne PitreJennifer Wren Scamacca
CONTENTS
Preface
About the Companion Website
1: Single Degree of Freedom Systems
1.1 Introduction
1.2 Spring-Mass System
1.3 Spring-Mass-Damper System
1.4 Forced Response
1.5 Transfer Functions and Frequency Methods
1.6 Complex Representation and Impedance
1.7 Measurement and Testing
1.8 Stability
1.9 Design and Control of Vibrations
1.10 Nonlinear Vibrations
1.11 Computing and Simulation in MATLAB
TM
Chapter Notes
References
Problems
2: Lumped Parameter Models
2.1 Introduction
2.2 Modeling
2.3 Classifications of Systems
2.4 Feedback Control Systems
2.5 Examples
2.6 Experimental Models
2.7 Nonlinear Models and Equilibrium
Chapter Notes
References
Problems
3: Matrices and the Free Response
3.1 Introduction
3.2 Eigenvalues and Eigenvectors
3.3 Natural Frequencies and Mode Shapes
3.4 Canonical Forms
3.5 Lambda Matrices
3.6 Eigenvalue Estimates
3.7 Computation Eigenvalue Problems in MATLAB
3.8 Numerical Simulation of the Time Response in MATLAB
tm
Chapter Notes
References
Problems
4: Stability
4.1 Introduction
4.2 Lyapunov Stability
4.3 Conservative Systems
4.4 Systems with Damping
4.5 Semidefinite Damping
4.6 Gyroscopic Systems
4.7 Damped Gyroscopic Systems
4.8 Circulatory Systems
4.9 Asymmetric Systems
4.10 Feedback Systems
4.11 Stability in the State Space
4.12 Stability of Nonlinear Systems
Chapter Notes
References
Problems
5: Forced Response of Lumped Parameter Systems
5.1 Introduction
5.2 Response via State Space Methods
5.3 Decoupling Conditions and Modal Analysis
5.4 Response of Systems with Damping
5.5 Stability of the Forced Response
5.6 Response Bounds
5.7 Frequency Response Methods
5.8 Stability of Feedback Control
5.9 Numerical Simulations in MATLAB
Chapter Notes
References
Problems
6: Vibration Suppression
6.1 Introduction
6.2 Isolators and Absorbers
6.3 Optimization Methods
6.4 Metastructures
6.5 Design Sensitivity and Redesign
6.6 Passive and Active Control
6.7 Controllability and Observability
6.8 Eigenstructure Assignment
6.9 Optimal Control
6.10 Observers (Estimators)
6.11 Realization
6.12 Reduced-Order Modeling
6.13 Modal Control in State Space
6.14 Modal Control in Physical Space
6.15 Robustness
6.16 Positive Position Feedback Control
6.17 MATLAB Commands for Control Calculations
Chapter Notes
References
Problems
7: Distributed Parameter Models
7.1 Introduction
7.2 Equations of Motion
7.3 Vibration of Strings
7.4 Rods and Bars
7.5 Vibration of Beams
7.6 Coupled Effects
7.7 Membranes and Plates
7.8 Layered Materials
7.9 Damping Models
7.10 Modeling Piezoelectric Wafers
Chapter Notes
References
Problems
8: Formal Methods of Solutions
8.1 Introduction
8.2 Boundary Value Problems and Eigenfunctions
8.3 Modal Analysis of the Free Response
8.4 Modal Analysis in Damped Systems
8.5 Transform Methods
8.6 Green's Functions
Chapter Notes
References
Problems
9: Operators and the Free Response
9.1 Introduction
9.2 Hilbert Spaces
9.3 Expansion Theorems
9.4 Linear Operators
9.5 Compact Operators
9.6 Theoretical Modal Analysis
9.7 Eigenvalue Estimates
9.8 Enclosure Theorems
Chapter Notes
References
Problems
10: Forced Response and Control
10.1 Introduction
10.2 Response by Modal Analysis
10.3 Modal Design Criteria
10.4 Combined Dynamical Systems
10.5 Passive Control and Design
10.6 Distributed Modal Control
10.7 Nonmodal Distributed Control
10.8 State Space Control Analysis
10.9 Vibration Suppression using Piezoelectric Materials
Chapter Notes
References
Problems
11: Approximations of Distributed Parameter Models
11.1 Introduction
11.2 Modal Truncation
11.3 Rayleigh-Ritz-Galerkin Approximations
11.4 Finite Element Method
11.5 Substructure Analysis
11.6 Truncation in the Presence of Control
11.7 Impedance Method of Truncation and Control
Chapter Notes
References
Problems
12: Vibration Measurement
12.1 Introduction
12.2 Measurement Hardware
12.3 Digital Signal Processing
12.4 Random Signal Analysis
12.5 Modal Data Extraction (Frequency Domain)
12.6 Modal Data Extraction (Time Domain)
12.7 Model Identification
12.8 Model Updating
12.9 Verification and Validation
Chapter Notes
References
Problems
A: Comments on Units
Reference
B: Supplementary Mathematics
B.1 Vector Space
B.2 Rank
B.3 Inverses
References
Index
EULA
List of Tables
Chapter 1
Table 1.1
Table 1.2
Chapter 3
Table 3.1
Table 3.2
Chapter 5
Table 5.1
Chapter 6
Table 6.1
A
Table A.1
Table A.2
Table A.3
Table A.4
Table A.5
Guide
Cover
Table of Contents
Preface
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Preface
Advance level vibration topics are presented here, including lumped mass and distributed mass systems in the context of the appropriate mathematics along with topics from control that are useful in vibration analysis, testing and design. This text is intended for use in a second course in vibration, or a combined course in vibration and control. It is also intended as a reference for the field of structural control and could be used as a text in structural control. The control topics are introduced at the beginners' level with no prerequisite knowledge in controls needed to read the book.
The text is an attempt to place vibration and control on a firm mathematical basis and connect the disciplines of vibration, linear algebra, matrix computations, control and applied functional analysis. Each chapter ends with notes on further references and suggests where more detailed accounts can be found. In this way I hope to capture a “bigger picture” approach without producing an overly large book. The first chapter presents a quick introduction using single degree of freedom systems (second-order ordinary differential equations) to the following chapters, which extend these concepts to multiple degree of freedom systems (matrix theory and systems of ordinary differential equations) and distributed parameter systems (partial differential equations and boundary value problems). Numerical simulations and matrix computations are also presented through the use of MATLABTM.
New In This Edition – The book chapters have been reorganized (there are now 12 instead of 13 chapters) with the former chapter on design removed and combined with the former chapter on control to form a new chapter titled Vibration Suppression. Some older, no longer used material, has been deleted in an attempt to keep the book limited in size as new material has been added.
The new material consists of adding several modeling sections to the text, including corresponding problems and examples. Many figures have been redrawn throughout to add clarity with more descriptive captions. In addition, a number of new figures have been added. New problems and examples have been added and some old ones removed. In total, seven new sections have been added to introduce modeling, coupled systems, the use of piezoelectric materials, metastructures, and validation and verification.
Instructor Support – Power Point slides are available for presentation of the material, along with a complete solutions manual. These materials are available from the publisher for those who have adapted the book. The author is pleased to answer questions via the email listed below.
Student Support – The best place to get help is your instructor and others in your peer group through discussion of the material. There are also many excellent texts as referenced throughout the book and of course Internet searches can provide lots of help. In addition, feel free to email the author at the address below (but don't ask me to do your homework!).
Acknowledgements – I would like to thank two of my current PhD students, Katie Reichl and Brittany Essink, for checking some of the homework and providing some plots. I would like to thank all of my former and current PhD students for 36 years of wonderful research and discussions. Thanks are owed to the instructors and students of the previous edition who have sent suggestions and comments. Last, thanks to my lovely wife Catherine Ann Little for putting up with me.
Leland, MichiganDaniel J. Inman
About the Companion Website
Vibration with Control, Second Edition is accompanied by a companion website:
www.wiley.com/go/inmanvibrationcontrol2e
The website includes:
Powerpoint slides
Solutions manual
