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Understanding Complex Systems

Frequency Domain Analysis and Design of Nonlinear Systems based on Volterra Series Expansion

A Parametric Characteristic Approach

Authors: Jing, Xingjian, Lang, Ziqiang

  • A state-of-the-art summary of most important and recent advances in the area of frequency domain methods for nonlinear analysis developed in the past 20 years, and there is no other similar book
  • A systematic frequency domain method for nonlinear analysis and design based on Volterra series expansion, which is of both theoretical and application significance to all those researchers related to nonlinear systems
  • A very novel insight into nonlinear dynamics in the frequency domain, which is very different from all the other existing commonly-used methods such as harmonic balance and describing functions
  • A large amount of analysis and design results which demonstrate how to employ nonlinearity for a better system performance, and there is no other similar book for this topic
  • A very engineering point of view, which can greatly facilitate nonlinear analysis and design in practice
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Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-12391-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
valid through October 16, 2017
  • ISBN 978-3-319-12390-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: November 18, 2016
  • ISBN 978-3-319-38303-3
  • Free shipping for individuals worldwide
About this book

This book is a systematic summary of some new advances in the area of nonlinear analysis and design in the frequency domain, focusing on the application oriented theory and methods based on the GFRF concept, which is mainly done by the author in the past 8 years. The main results are formulated uniformly with a parametric characteristic approach, which provides a convenient and novel insight into nonlinear influence on system output response in terms of characteristic parameters and thus facilitate nonlinear analysis and design in the frequency domain.  The book starts with a brief introduction to the background of nonlinear analysis in the frequency domain, followed by recursive algorithms for computation of GFRFs for different parametric models, and nonlinear output frequency properties. Thereafter the parametric characteristic analysis method is introduced, which leads to the new understanding and formulation of the GFRFs, and nonlinear characteristic output spectrum (nCOS) and the nCOS based analysis and design method. Based on the parametric characteristic approach, nonlinear influence in the frequency domain can be investigated with a novel insight, i.e., alternating series, which is followed by some application results in vibration control. Magnitude bounds of frequency response functions of nonlinear systems can also be studied with a parametric characteristic approach, which result in novel parametric convergence criteria for any given parametric nonlinear model whose input-output relationship allows a convergent Volterra series expansion. This book targets those readers who are working in the areas related to nonlinear analysis and design, nonlinear signal processing, nonlinear system identification, nonlinear vibration control, and so on. It particularly serves as a good reference for those who are studying frequency domain methods for nonlinear systems.

Table of contents (15 chapters)

  • Introduction

    Jing, Xingjian (et al.)

    Pages 1-7

  • The Generalized Frequency Response Functions and Output Spectrum of Nonlinear Systems

    Jing, Xingjian (et al.)

    Pages 9-30

  • Output Frequency Characteristics of Nonlinear Systems

    Jing, Xingjian (et al.)

    Pages 31-52

  • Parametric Characteristic Analysis

    Jing, Xingjian (et al.)

    Pages 53-63

  • The Parametric Characteristics of the GFRFs and the Parametric Characteristics Based Analysis

    Jing, Xingjian (et al.)

    Pages 65-82

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-12391-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
valid through October 16, 2017
  • ISBN 978-3-319-12390-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: November 18, 2016
  • ISBN 978-3-319-38303-3
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
Frequency Domain Analysis and Design of Nonlinear Systems based on Volterra Series Expansion
Book Subtitle
A Parametric Characteristic Approach
Authors
Series Title
Understanding Complex Systems
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s) 2018
eBook ISBN
978-3-319-12391-2
DOI
10.1007/978-3-319-12391-2
Hardcover ISBN
978-3-319-12390-5
Softcover ISBN
978-3-319-38303-3
Series ISSN
1860-0832
Edition Number
1
Number of Pages
XV, 331
Number of Illustrations and Tables
67 b/w illustrations
Topics