Lectures on Nonlinear Dynamics
Produktnummer:
18f3a53b7e36c14268b88597b41e39a141
Themengebiete: | Conservative Systems Dynamical Integrity Lecture Notes Nonlinear Dynamics Strong Nonlinear Vibration Variable Mass Oscillators |
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Veröffentlichungsdatum: | 30.11.2023 |
EAN: | 9783031451003 |
Sprache: | Englisch |
Seitenzahl: | 339 |
Produktart: | Gebunden |
Herausgeber: | Castilho Piqueira, José Roberto Franzini, Guilherme Rosa Nigro Mazzilli, Carlos Eduardo Pesce, Celso Pupo |
Verlag: | Springer International Publishing |
Produktinformationen "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 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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