Lectures on Nonlinear Dynamics

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...

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Údar corparáideach: SpringerLink (Online service)
Rannpháirtithe: Castilho Piqueira, José Roberto (Eagarthóir), Nigro Mazzilli, Carlos Eduardo (Eagarthóir), Pesce, Celso Pupo (Eagarthóir), Franzini, Guilherme Rosa (Eagarthóir)
Formáid: Leictreonach Ríomhleabhar
Teanga:Béarla
Foilsithe / Cruthaithe: Cham : Springer Nature Switzerland : Imprint: Springer, 2024.
Eagrán:1st ed. 2024.
Sraith:Understanding Complex Systems,
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Rochtain ar líne:https://doi.org/10.1007/978-3-031-45101-0
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Achoimre: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.
Cur síos fisiciúil:XVIII, 339 p. 167 illus., 115 illus. in color. online resource.
ISBN:9783031451010
ISSN:1860-0840
DOI:10.1007/978-3-031-45101-0