04275nam a22006015i 4500 978-3-031-45101-0 DE-He213 20251030110843.0 cr nn 008mamaa 231129s2024 sz | s |||| 0|eng d 9783031451010 978-3-031-45101-0 10.1007/978-3-031-45101-0 doi TA352-356 QC20.7.N6 TBJ bicssc GPFC bicssc SCI064000 bisacsh TBJ thema GPFC thema Lectures on Nonlinear Dynamics [electronic resource] / edited by José Roberto Castilho Piqueira, Carlos Eduardo Nigro Mazzilli, Celso Pupo Pesce, Guilherme Rosa Franzini. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. XVIII, 339 p. 167 illus., 115 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Understanding Complex Systems, 1860-0840 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. Dynamics. 65524 Nonlinear theories. 65525 System theory. 66519 Applied Dynamical Systems. 65530 Complex Systems. 66520 Castilho Piqueira, José Roberto. editor. edt http://id.loc.gov/vocabulary/relators/edt 67703 Nigro Mazzilli, Carlos Eduardo. editor. edt http://id.loc.gov/vocabulary/relators/edt 67704 Pesce, Celso Pupo. editor. edt http://id.loc.gov/vocabulary/relators/edt 67705 Franzini, Guilherme Rosa. editor. edt http://id.loc.gov/vocabulary/relators/edt 67706 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031451003 Printed edition: 9783031451027 Printed edition: 9783031451034 Understanding Complex Systems, 1860-0840 67707 https://doi.org/10.1007/978-3-031-45101-0 ZDB-2-ENG ZDB-2-SXE 56678 56678