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Parametric Resonance in Dynamical Systems discusses the phenomenon of parametric resonance and its occurrence in mechanical systems, vehicles, motorcycles, aircraft and marine craft, along micro-electro-mechanical systems. The contributors provides 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 volume is ideal for researchers and mechanical engineers working in application fields such as MEMS, maritime, aircraft and ground vehicle engineering.




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.




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.


Content:
Front Matter....Pages i-xiii
An Introduction to Parametric Resonance....Pages 1-13
Front Matter....Pages 15-15
Detection of Parametric Roll for Ships....Pages 17-43
Estimation of Parametric Roll in Random Seaways....Pages 45-59
Front Matter....Pages 61-61
Trimaran Vessels and Parametric Roll....Pages 63-89
Probability of Parametric Roll in Random Seaways....Pages 91-105
Domains of Parametric Roll Amplification for Different Hull Forms....Pages 107-127
Probabilistic Properties of Parametric Roll....Pages 129-145
Experience from Parametric Rolling of Ships....Pages 147-165
Ship Model for Parametric Roll Incorporating the Effects of Time-Varying Speed....Pages 167-189
Front Matter....Pages 191-191
Frequency Detuning Control by Doppler Shift....Pages 193-212
Optimal Speed and Heading Control for Stabilization of Parametric Oscillations in Ships....Pages 213-238
A U-Tank Control System for Ships in Parametric Roll Resonance....Pages 239-263
Front Matter....Pages 265-265
Parametric and Direct Resonances in a Base-Excited Beam Carrying a Top Mass....Pages 267-285
A Study of the Onset and Stabilization of Parametric Roll by Using an Electro-Mechanical Device....Pages 287-304
Controlling Parametric Resonance: Induction and Stabilization of Unstable Motions....Pages 305-327
Back Matter....Pages 329-330


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.


Content:
Front Matter....Pages i-xiii
An Introduction to Parametric Resonance....Pages 1-13
Front Matter....Pages 15-15
Detection of Parametric Roll for Ships....Pages 17-43
Estimation of Parametric Roll in Random Seaways....Pages 45-59
Front Matter....Pages 61-61
Trimaran Vessels and Parametric Roll....Pages 63-89
Probability of Parametric Roll in Random Seaways....Pages 91-105
Domains of Parametric Roll Amplification for Different Hull Forms....Pages 107-127
Probabilistic Properties of Parametric Roll....Pages 129-145
Experience from Parametric Rolling of Ships....Pages 147-165
Ship Model for Parametric Roll Incorporating the Effects of Time-Varying Speed....Pages 167-189
Front Matter....Pages 191-191
Frequency Detuning Control by Doppler Shift....Pages 193-212
Optimal Speed and Heading Control for Stabilization of Parametric Oscillations in Ships....Pages 213-238
A U-Tank Control System for Ships in Parametric Roll Resonance....Pages 239-263
Front Matter....Pages 265-265
Parametric and Direct Resonances in a Base-Excited Beam Carrying a Top Mass....Pages 267-285
A Study of the Onset and Stabilization of Parametric Roll by Using an Electro-Mechanical Device....Pages 287-304
Controlling Parametric Resonance: Induction and Stabilization of Unstable Motions....Pages 305-327
Back Matter....Pages 329-330
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