© 2012

Parametric Resonance in Dynamical Systems

  • Thor I. Fossen
  • Henk Nijmeijer

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Jonatan Peña-Ramírez, Rob H. B. Fey, Henk Nijmeijer
    Pages 1-13
  3. Detection and Estimation of Parametric Resonance

    1. Front Matter
      Pages 15-15
    2. Roberto Galeazzi, Mogens Blanke, Niels K. Poulsen
      Pages 17-43
    3. Naoya Umeda, Hirotada Hashimoto, Izumi Tsukamoto, Yasuhiro Sogawa
      Pages 45-59
  4. Parametric Roll

    1. Front Matter
      Pages 61-61
    2. Gabriele Bulian, Alberto Francescutto
      Pages 63-89
    3. Jørgen Juncher Jensen
      Pages 91-105
    4. Claudio A. Rodríguez, Marcelo A. S. Neves
      Pages 107-127
    5. Vadim Belenky, Kenneth Weems
      Pages 129-145
    6. Anders Rosén, Mikael Huss, Mikael Palmquist
      Pages 147-165
    7. Dominik A. Breu, Christian Holden, Thor I. Fossen
      Pages 167-189
  5. Control of Parametric Resonance in Ships

    1. Front Matter
      Pages 191-191
    2. Christian Holden, Dominik A. Breu, Thor I. Fossen
      Pages 193-212
    3. Christian Holden, Thor I. Fossen
      Pages 239-263
  6. Control of Parametric Resonance in Mechanical Systems

    1. Front Matter
      Pages 265-265
    2. Rob H. B. Fey, Niels J. Mallon, C. Stefan Kraaij, Henk Nijmeijer
      Pages 267-285
    3. Roberto Galeazzi, Kristin Y. Pettersen
      Pages 305-327

About this book


Parametric Resonance in Dynamical Systems discusses the phenomenon of parametric resonance and its occurrence in mechanical systems,vehicles, motorcycles, aircraft and marine craft, and micro-electro-mechanical systems. The contributors provide an introduction to the root causes of this phenomenon and its mathematical equivalent, the Mathieu-Hill equation. Also included is a discussion of how parametric resonance occurs on ships and offshore systems and its frequency in mechanical and electrical systems. This book also:

  • Presents the theory and principles behind parametric resonance
  • Provides a unique collection of the different fields where parametric resonance appears including ships and offshore structures, automotive vehicles and mechanical systems
  • Discusses ways to combat, cope with and prevent parametric resonance including passive design measures and active control methods

Parametric Resonance in Dynamical Systems is ideal for researchers and mechanical engineers working in application fields such as MEMS, maritime, aircraft and ground vehicle engineering.


Controls Dynamical systems Nonlinear dynamics Parametric resonance Ship and offshore systems

Editors and affiliations

  • Thor I. Fossen
    • 1
  • Henk Nijmeijer
    • 2
  1. 1., Department of Engineering CyberneticsNorwegian University of Science and TechTrondheimNorway
  2. 2.Dynamics and Control GroupTechn. Univ. EindhovenEindhovenThe Netherlands

Bibliographic information

Industry Sectors
Energy, Utilities & Environment
Oil, Gas & Geosciences