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Lectures on nonlinear dynamics

Record Type:	Electronic resources : Monograph/item
Title/Author:	Lectures on nonlinear dynamicsedited by José Roberto Castilho Piqueira ... [et al.].
other author:	Castilho Piqueira, José Roberto.
Published:	Cham :Springer Nature Switzerland :2024.
Description:	xviii, 339 p. :ill. (chiefly col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Nonlinear theories.
Online resource:	https://doi.org/10.1007/978-3-031-45101-0
ISBN:	9783031451010$q(electronic bk.)

Lectures on nonlinear dynamics
Lectures on nonlinear dynamics[electronic resource] /edited by José Roberto Castilho Piqueira ... [et al.]. - Cham :Springer Nature Switzerland :2024. - xviii, 339 p. :ill. (chiefly col.), digital ;24 cm. - Understanding complex systems,1860-0840. - Understanding complex systems..

Brief introduction to the theory of parametric resonance -- An introduction to parametrically excited systems and their importance on the dynamics of slender structures -- Normal Forms -- Nonlinear Normal Modes and Reduced Order Models -- An Introduction to Nonlinear System Identification -- Comparing Master-Slave Topologies for Time Signal Distribution -- Nonlinear Dynamics of Variable Mass Oscillators -- Generalized Krylov-Bogoliubov method for solving strong nonlinear vibration -- Chaos Theory -- Dynamical integrity and its background.

This book presents a compilation of lectures delivered at the São Paulo School of Advanced Sciences on Nonlinear Dynamics, categorized into four groups: parametric resonance, nonlinear modal analysis and model reduction, synchronization, and strongly nonlinear dynamics. Interwoven seamlessly, these groups cover a wide range of topics, from fundamental concepts to practical applications, catering to both introductory and advanced readers. The first group, consisting of chapters 1 and 2, serves as an introduction to the theory of parametric resonance and the dynamics of parametrically excited slender structures. Chapters 3, 4, and 5 form the second group, offering insights into normal forms, nonlinear normal modes, and nonlinear system identification. Chapters 6 and 7 delve into asynchronous modes of structural vibration and master-slave topologies for time signal distribution within synchronous systems, respectively, representing the third group. Finally, the last four chapters tackle the fourth group, exploring nonlinear dynamics of variable mass oscillators, advanced analytical methods for strong nonlinear vibration problems, chaos theory, and dynamic integrity from the perspectives of safety and design. This book harmoniously combines theoretical depth and practical relevance to provide a comprehensive understanding of nonlinear dynamics.

ISBN: 9783031451010$q(electronic bk.)

Standard No.: 10.1007/978-3-031-45101-0doiSubjects--Topical Terms:

182014
Nonlinear theories.

LC Class. No.: QA845

Dewey Class. No.: 531.11

Lectures on nonlinear dynamics
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300 $a xviii, 339 p. : $b ill. (chiefly col.), digital ; $c 24 cm.
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505 0 $a Brief introduction to the theory of parametric resonance -- An introduction to parametrically excited systems and their importance on the dynamics of slender structures -- Normal Forms -- Nonlinear Normal Modes and Reduced Order Models -- An Introduction to Nonlinear System Identification -- Comparing Master-Slave Topologies for Time Signal Distribution -- Nonlinear Dynamics of Variable Mass Oscillators -- Generalized Krylov-Bogoliubov method for solving strong nonlinear vibration -- Chaos Theory -- Dynamical integrity and its background.
520 $a This book presents a compilation of lectures delivered at the São Paulo School of Advanced Sciences on Nonlinear Dynamics, categorized into four groups: parametric resonance, nonlinear modal analysis and model reduction, synchronization, and strongly nonlinear dynamics. Interwoven seamlessly, these groups cover a wide range of topics, from fundamental concepts to practical applications, catering to both introductory and advanced readers. The first group, consisting of chapters 1 and 2, serves as an introduction to the theory of parametric resonance and the dynamics of parametrically excited slender structures. Chapters 3, 4, and 5 form the second group, offering insights into normal forms, nonlinear normal modes, and nonlinear system identification. Chapters 6 and 7 delve into asynchronous modes of structural vibration and master-slave topologies for time signal distribution within synchronous systems, respectively, representing the third group. Finally, the last four chapters tackle the fourth group, exploring nonlinear dynamics of variable mass oscillators, advanced analytical methods for strong nonlinear vibration problems, chaos theory, and dynamic integrity from the perspectives of safety and design. This book harmoniously combines theoretical depth and practical relevance to provide a comprehensive understanding of nonlinear dynamics.
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