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.
Reihe
Sprache
Verlagsort
Verlagsgruppe
Springer International Publishing
Zielgruppe
Illustrationen
33
33 s/w Abbildungen
XI, 201 p. 33 illus.
Maße
Höhe: 240 mm
Breite: 168 mm
Dicke: 12 mm
Gewicht
ISBN-13
978-3-031-49399-7 (9783031493997)
DOI
10.1007/978-3-031-49397-3
Schweitzer Klassifikation
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.
Introduction.- Conservative static systems.- Non-autonomous dynamical systems.- Autonomous nonconservative dynamical systems.- Nonlinear continuum models.- Perturbation methods for a continuum metamodel.- Solved Problems.- Summary.
