Part I: Introduction.- Part II Ships and Offshore Systems.- Methods for Early Detection of Parametric Roll Inception.- Parametric Roll for a Multihull Vessel.- Parametric Rolling of Ships in Random Seaways.- Parametric Resonance in Ships: Experimental Results.- Prediction of Parametric Resonance in Ship Roll Systems in Ocean Waves.- A U-Tank Control System for Ships Exhibiting Parametric Roll.- Nonlinear Dynamics as a Tool to Reveal the Diversity of Ship Responses to Strong.- Parametric Excitation as Different Hulls are Simulated.- Frequency Detuning of Parametric Oscillations in Ships by Surge Acceleration and Yaw Rate Control.- Optimal Speed and Heading Control for Avoidance of Parametric Oscillations in Ships.- Part III: Mechanical and Electrical Systems.- Parametric Resonance in a Vertical Beam Carrying a Top Mass: Theory and Experiments.- Parametric Resonance in Motor Cycles.- Bifurcations in High Speed Milling.- Controlling Parametric Resonance: Induction and Stabilization of Unstable Motions.
An Introduction to Parametric Resonance.- Part I Detection and Estimation of Parametric Resonance: Detection of Parametric Roll for Ships.- Estimation of Parametric Roll in Random Seaways.- Part II Parametric Roll: Trimaran Vessels and Parametric Roll.- Probability of Parametric Roll in Random Seaways.- Domains of Parametric Roll Amplification for Different Hull Forms.- Probabilistic Properties of Parametric Roll.- Experience from Parametric Rolling of Ships.- Ship Model for Parametric Roll Incorporating the Effects of Time-Varying Speed.- Part III Control of Parametric Resonance in Ships: Frequency Detuning Control by Doppler Shift.- Optimal Speed and Heading Control for Stabilization of Parametric Oscillations in Ships.- A U-Tank Control System for Ships in Parametric Roll Resonance.- Part IV Control of Parametric Resonance in Mechanical Systems: Parametric and Direct Resonances in a Base-Excited Beam Carrying a Top Mass.- A Study of the Onset and Stabilization of Parametric Roll by using an Electro-Mechanical Device.- Controlling Parametric Resonance: Induction and Stabilization of Unstable Motions.
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.
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