Perturbation Methods and Nonlinear Phenomena - Applications to Continuous Mechanical Systems

This concise text introduces the reader to the use of perturbation methods, able to investigate nonlinear phenomena in continuous (not only discrete) mechanical systems. Distinct from the classic books on perturbation methods, the algorithms are directly illustrated for continuous systems, referring to a very simple case-study as well as to a metamodel, for which Statics, Buckling, Dynamics and Bifurcation behavior are quickly analyzed. Moreover, fundamental mechanical aspects are discussed in dealing with applications. Concepts herein are reinforced with worked examples at the end the book, relevant to several continuous systems. 

List of contents

Introduction.- Conservative static systems.- Non-autonomous dynamical systems.- Autonomous nonconservative dynamical systems.- Nonlinear continuum models.- Perturbation methods for a continuum metamodel.- Solved Problems.- Summary.

About the author

Dr. Angelo Luongo is Professor of Solid and Structural Mechanics - Department of Civil, Construction-Architectural and Environmental Engineering – Univ. of L’Aquila, Italy.
Dr. Daniele Zulli is Professor of Solid and Structural Mechanics - Department of Civil, Construction-Architectural and Environmental Engineering – Univ. of L’Aquila, Italy.
Dr. Manuel Ferretti is Associate Professor of Solid and Structural Mechanics - Department of Civil, Construction-Architectural and Environmental Engineering – Univ. of L’Aquila, Italy.
Dr. Francesco D’Annibale is Professor of Solid and Structural Mechanics - Department of Civil, Construction-Architectural and Environmental Engineering – Univ. of L’Aquila, Italy.

Summary

This concise text introduces the reader to the use of perturbation methods, able to investigate nonlinear phenomena in continuous (not only discrete) mechanical systems. Distinct from the classic books on perturbation methods, the algorithms are directly illustrated for continuous systems, referring to a very simple case-study as well as to a metamodel, for which Statics, Buckling, Dynamics and Bifurcation behavior are quickly analyzed. Moreover, fundamental mechanical aspects are discussed in dealing with applications. Concepts herein are reinforced with worked examples at the end the book, relevant to several continuous systems. 

Product details

• Authors: Francesco D¿Annibale, Francesco D’Annibale, Francesco D'Annibale, Manuel Ferretti, Manuel et Ferretti, Angelo Luongo, Daniele Zulli
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 13.01.2024
• EAN: 9783031493966
• ISBN: 978-3-0-3149396-6
• No. of pages: 201
• Dimensions: 168 mm x 15 mm x 240 mm
• Illustrations: XI, 201 p. 33 illus.
• Series: Synthesis Lectures on Engineering, Science, and Technology
• Subjects: Natural sciences, medicine, IT, technology > Technology > Mechanical engineering, production engineering; Maschinenbau, Plasmaphysik, Klassische Mechanik, Classical mechanics, Engineering Mechanics, Continuum Mechanics, Multibody Systems and Mechanical Vibrations, Mechanical Systems, perturbation methods, nonlinear dynamics, static bifurcations, Waves, instabilities and nonlinear plasma dynamics, dynamic bifurcations