Perturbation Methods and Nonlinear Phenomena: Applications to Continuous Mechanical Systems

ISBN-13: 9783031493966 / Angielski

Angelo Luongo; Daniele Zulli; Manuel Ferretti

Spis treści

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

O autorze

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.

Blurb

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.