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020 _a9783031451010
024 7 _a10.1007/978-3-031-45101-0
_2doi
040 _aES-MaUEC
_bspa
_cES-MaUEC
_dES-MaUEC
050 4 _aQA845
_b2024 EB
245 0 0 _aLectures on Nonlinear Dynamics
_cedited by José Roberto Castilho Piqueira, Carlos Eduardo Nigro Mazzilli, Celso Pupo Pesce, Guilherme Rosa Franzini
250 _a1st ed. 2024
264 1 _aCham
_bSpringer International Publishing
_c2024
300 _a1 recurso en li��nea
336 _atexto
_btxt
_2rdacontent
337 _aelectro��nico
_bc
_2rdamedia
338 _arecurso electro��nico
_bcr
_2rdacarrier
490 0 _aUnderstanding Complex Systems
_x1860-0840
505 0 _aBrief 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 _aThis book presents a compilation of lectures delivered at the S{tilde}ao 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.
988 _aSpringer_Engineering_2024
650 7 _2embne
_9138903
_aDinámica
856 4 0 _uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-031-45101-0
_zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942 _2lcc
_cLE
998 _b06/2024
_dz
_eIG
_zSI