Perturbation Methods and Nonlinear Phenomena

Applications to Continuous Mechanical Systems
Erscheinungsjahr 2025
ISBN: 978-3-031-49399-7
Verlag: Springer Nature Switzerland

Buch, Englisch, 201 Seiten, Format (B × H): 168 mm x 240 mm, Gewicht: 371 g

Reihe: Synthesis Lectures on Engineering, Science, and Technology

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. 

Zielgruppe

Upper undergraduate

Autoren/Hrsg.

Luongo, Angelo

D'Annibale, Francesco

Zulli, Daniele

Ferretti, Manuel

Fachgebiete

• Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Statik, Dynamik, Kinetik, Kinematik
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Maschinenbau
• Naturwissenschaften Physik Thermodynamik Plasmaphysik

Inhaltsverzeichnis

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

Über Autor(innen)

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.