Castilho Piqueira, José Roberto. editor. edt http://id.loc.gov/vocabulary/relators/edt Nigro Mazzilli, Carlos Eduardo. editor. edt http://id.loc.gov/vocabulary/relators/edt Pesce, Celso Pupo. editor. edt http://id.loc.gov/vocabulary/relators/edt Franzini, Guilherme Rosa. editor. edt http://id.loc.gov/vocabulary/relators/edt SpringerLink (Online service) text sz 2024 1st ed. 2024. monographic eng

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access XVIII, 339 p. 167 illus., 115 illus. in color. online resource. 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. 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. edited by José Roberto Castilho Piqueira, Carlos Eduardo Nigro Mazzilli, Celso Pupo Pesce, Guilherme Rosa Franzini. Dynamics Nonlinear theories System theory Applied Dynamical Systems Complex Systems TA352-356 QC20.7.N6 9783031451010 https://doi.org/10.1007/978-3-031-45101-0 https://doi.org/10.1007/978-3-031-45101-0 231129 20251030110843.0 978-3-031-45101-0