Study the stability and the control of non-linear dynamical systems | Study the stability and the control of spring pendulum system represented by non-linear differential equations

Ashraf Taha EL-Sayed Taha

ISBN 10: 3659788279 / ISBN 13: 9783659788277

Published by LAP LAMBERT Academic Publishing, 2015

About this Item

Study the stability and the control of non-linear dynamical systems | Study the stability and the control of spring pendulum system represented by non-linear differential equations | Ashraf Taha EL-Sayed Taha | Taschenbuch | 316 S. | Englisch | 2015 | LAP LAMBERT Academic Publishing | EAN 9783659788277 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu.

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Bibliographic Details

• Title: Study the stability and the control of non-linear dynamical systems | Study the stability and the control of spring pendulum system represented by non-linear differential equations
• Publisher: LAP LAMBERT Academic Publishing
• Publication Date: 2015
• Language: English
• ISBN 10: 3659788279
• ISBN 13: 9783659788277
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 220W x 150H x 20D millimeters 220 millimeters width by 150 millimeters height by 20 millimeters depth
• Weight: 489 grams
• Seller catalogs:
  • Bücher

About this title

Synopsis

The use of passive control strategy is a common way to stabilize and control dangerous vibrations in a nonlinear spring pendulum which is describing the ship’s roll motion. The main task of this work is to show the effect of the control device on the nonlinear spring pendulum by connecting to the transverse or longitudinal absorber. Multiple scale perturbation method (MSPT) is applied to obtain the approximate solutions for the differential equations describing the system. The stability of the steady-state solution near the resonance case is investigated and studied using frequency response equations. The effects of the absorber and some system parameters on the vibrating system are studied numerically.

About the Author

Dr. A. T. EL-Sayed received his MSc and PhD degrees in Mathematics from Zagazig University,Egypt in 2007 and 2011, respectively. He is currently a Lecturer of Mathematics in the Department of Basic Sciences, Modern academy for Engineering and Technology, Egypt. His research interests are Differential equations, Stability and Vibration control.