000 04275nam a22006015i 4500
001 978-3-031-45101-0
003 DE-He213
005 20251030110843.0
007 cr nn 008mamaa
008 231129s2024 sz | s |||| 0|eng d
020 _a9783031451010
_9978-3-031-45101-0
024 7 _a10.1007/978-3-031-45101-0
_2doi
050 4 _aTA352-356
050 4 _aQC20.7.N6
072 7 _aTBJ
_2bicssc
072 7 _aGPFC
_2bicssc
072 7 _aSCI064000
_2bisacsh
072 7 _aTBJ
_2thema
072 7 _aGPFC
_2thema
245 1 0 _aLectures on Nonlinear Dynamics
_h[electronic resource] /
_cedited by José Roberto Castilho Piqueira, Carlos Eduardo Nigro Mazzilli, Celso Pupo Pesce, Guilherme Rosa Franzini.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aXVIII, 339 p. 167 illus., 115 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _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 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.
650 0 _aDynamics.
_965524
650 0 _aNonlinear theories.
_965525
650 0 _aSystem theory.
_966519
650 1 4 _aApplied Dynamical Systems.
_965530
650 2 4 _aComplex Systems.
_966520
700 1 _aCastilho Piqueira, José Roberto.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_967703
700 1 _aNigro Mazzilli, Carlos Eduardo.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_967704
700 1 _aPesce, Celso Pupo.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_967705
700 1 _aFranzini, Guilherme Rosa.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_967706
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031451003
776 0 8 _iPrinted edition:
_z9783031451027
776 0 8 _iPrinted edition:
_z9783031451034
830 0 _aUnderstanding Complex Systems,
_x1860-0840
_967707
856 4 0 _uhttps://doi.org/10.1007/978-3-031-45101-0
912 _aZDB-2-ENG
912 _aZDB-2-SXE
999 _c56678
_d56678