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Titlebook: Parametric Resonance in Dynamical Systems; Thor I. Fossen,Henk Nijmeijer Book 2012 Springer Science+Business Media, LLC 2012 Controls.Dyna

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Ship Model for Parametric Roll Incorporating the Effects of Time-Varying Speed., the Doppler-shifted frequency of the waves as seen from the ship. Commonly, a Mathieu-type equation is used to describe the ship dynamics in parametric roll resonance; however, the derivation of this model assumes constant encounter frequency. In this chapter, we show that Mathieu-type equations
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A U-Tank Control System for Ships in Parametric Roll Resonanceon is modeled with Lagrangian (analytical) mechanics, while nonconservative forces and forces due to the surrounding ocean are added to the model based on Newtonian mechanics. The model is suitable for arbitrarily-shaped u-tanks and system responses of any magnitude. (2) Based on a simplification of
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Parametric and Direct Resonances in a Base-Excited Beam Carrying a Top Massrtical beam carries the top mass and is axially excited by the shaker at its base. The weight of the top mass is below the beam’s static buckling load. A semi-analytical model is derived for the coupled system. In this model, Taylor-series approximations are used for the inextensibility constraint a
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Jonatan Peña-Ramírez,Rob H. B. Fey,Henk Nijmeijer of modularisation and concepts for electrificationBy forming the link between the road surface and the vehicle, the chassis plays a key role in enhancing vehicle dynamics and ride comfort. With its control systems, it provides the basis for the further development of driver assistance systems which
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