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This volume discusses parametric resonance and its occurrence in mechanical systems including those found in road, air and seagoing vehicles. It introduces the root causes of PR as well as its mathematical interpretation via the Mathieu-Hill equation.

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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.

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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.

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