03922nam a22005175i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001400153050001400167072001600181072001700197072002300214072001500237072001600252245017900268250001800447264006900465300006900534336002600603337002600629338003600655347002400691490004600715505054900761520136901310650001402679650002402693650001902717650003102736650002102767700009602788700009302884700008002977700008703057710003403144773002603178776003603204776003603240776003603276830004603312856004603358978-3-031-45101-0DE-He21320251030110843.0cr nn 008mamaa231129s2024    sz |    s    |||| 0|eng d  a97830314510107 a10.1007/978-3-031-45101-02doi 4aTA352-356 4aQC20.7.N6 7aTBJ2bicssc 7aGPFC2bicssc 7aSCI0640002bisacsh 7aTBJ2thema 7aGPFC2thema10aLectures on Nonlinear Dynamicsh[electronic resource] /cedited by José Roberto Castilho Piqueira, Carlos Eduardo Nigro Mazzilli, Celso Pupo Pesce, Guilherme Rosa Franzini.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Springer,c2024.  aXVIII, 339 p. 167 illus., 115 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aUnderstanding Complex Systems,x1860-08400 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.  aThis 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. 0aDynamics. 0aNonlinear theories. 0aSystem theory.14aApplied Dynamical Systems.24aComplex Systems.1 aCastilho Piqueira, José Roberto.eeditor.4edt4http://id.loc.gov/vocabulary/relators/edt1 aNigro Mazzilli, Carlos Eduardo.eeditor.4edt4http://id.loc.gov/vocabulary/relators/edt1 aPesce, Celso Pupo.eeditor.4edt4http://id.loc.gov/vocabulary/relators/edt1 aFranzini, Guilherme Rosa.eeditor.4edt4http://id.loc.gov/vocabulary/relators/edt2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303145100308iPrinted edition:z978303145102708iPrinted edition:z9783031451034 0aUnderstanding Complex Systems,x1860-084040uhttps://doi.org/10.1007/978-3-031-45101-0