Improving Solutions of Nonlinear Differential Equations Using Control: Vibration Reduction by Using Different Control - Couverture souple

Sayed, Mohamed

 
9783846500330: Improving Solutions of Nonlinear Differential Equations Using Control: Vibration Reduction by Using Different Control
Couverture souple
ISBN 10 : 384650033X ISBN 13 : 9783846500330
Editeur : LAP LAMBERT Academic Publishing, 2012

Synopsis

Vibrations and dynamic chaos are undesired phenomenon in structures as they cause the 4D. They are: disturbance, discomfort, damage and destruction of the system or the structure. For these reasons, money, time and effort are spent to eliminate or control vibrations,noise and chaos or to minimize them. The main object of this thesis is the investigation of the behavior two systems. They are simple and spring pendulums. A tuned absorber (passive control), in the transverse direction and/or the longitudinal one is connected to both systems to reduce the oscillations. Negative velocity feedback or its quadratic or cubic value is applied to the systems (active control). Also active control is applied to the systems via negative acceleration feedback or negative angular displacement or its quadratic or cubic value. Multiple scale is applied to determine approximate closed form solutions for the differential equations describing the systems. Both frequency response equations and the phase plane technique are applied to study systems stability. Optimum working conditions of both systems are extracted when applying both passive and active control, to be used in the design of such systems.

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Présentation de l'éditeur

Vibrations and dynamic chaos are undesired phenomenon in structures as they cause the 4D. They are: disturbance, discomfort, damage and destruction of the system or the structure. For these reasons, money, time and effort are spent to eliminate or control vibrations,noise and chaos or to minimize them. The main object of this thesis is the investigation of the behavior two systems. They are simple and spring pendulums. A tuned absorber (passive control), in the transverse direction and/or the longitudinal one is connected to both systems to reduce the oscillations. Negative velocity feedback or its quadratic or cubic value is applied to the systems (active control). Also active control is applied to the systems via negative acceleration feedback or negative angular displacement or its quadratic or cubic value. Multiple scale is applied to determine approximate closed form solutions for the differential equations describing the systems. Both frequency response equations and the phase plane technique are applied to study systems stability. Optimum working conditions of both systems are extracted when applying both passive and active control, to be used in the design of such systems.

Biographie de l'auteur

Dr. M. Sayed has obtained his PhD in Mathematics from, Menoufia University, Egypt in 2006. He is currently a Lecturer in the Department of Engineering Mathematics,Faculty of Electronic Engineering, Menoufia University. His research interests are nonlinear differential equations,solutions,stability,resonance,perturbation, active and passive control.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2012
Langue
anglais
ISBN 10 
384650033X
ISBN 13 
9783846500330
Reliure
Broché
Nombre de pages
180
Coordonnées du fabricant
non disponible
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