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020 _a9789819767793
_9978-981-97-6779-3
024 7 _a10.1007/978-981-97-6779-3
_2doi
050 4 _aQC19.2-20.85
072 7 _aPHU
_2bicssc
072 7 _aSCI040000
_2bisacsh
072 7 _aPHU
_2thema
100 1 _aMetrikin, Vladimir.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_990633
245 1 0 _aForced Oscillations of Multidimensional Highly Nonlinear Systems
_h[electronic resource] :
_bDeterministic Chaos and Random Changes in Parameters /
_cby Vladimir Metrikin, Igumnov Leonid.
250 _a1st ed. 2024.
264 1 _aSingapore :
_bSpringer Nature Singapore :
_bImprint: Springer,
_c2024.
300 _aVIII, 167 p. 87 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aAdvanced Structured Materials,
_x1869-8441 ;
_v222
505 0 _a1. Introduction -- 2. Dynamics of two-mass vibro-impact mechanisms with a fixed limiter -- 3. Research into multi-mass vibro-impact system -- 4. Investigating the effect of viscous friction forces on stability of vibro-impact systems -- 5. Dynamics of vibro-impact systems with randomly changing parameters.
520 _aThis book highlights the presentation of methods for studying oscillations under external periodic influence and random changes in parameters in dynamic systems with nonlinearities that have discontinuities and kinks. The analysis of dynamic systems is based on effective approaches and algorithms of the method of point mappings of Poincaré surfaces, developed by the Nizhny Novgorod Scientific School of academician A.A. Andronov. Considerable attention is paid to the study of the general picture of the possible behavior of systems and their use in solving various applied problems. Using specific examples, it is found that this research approach allows not only to advance in the study of known nonlinear features but also to discover new effects and applications. The presentation is illustrated by numerous specific examples of oscillatory strongly nonlinear systems with discontinuous nonlinearities or piecewise-continuous nonlinearities. A separate chapter is devoted to the development and use of the point mapping method for random changes in the parameters of dynamic systems, as well as in dynamic systems subject to external seismic loads. The book is intended for scientists and engineers who are engaged in research and practice activities related to the theory of nonlinear oscillations and its applications, as well as graduate students and senior undergraduate students in relevant majors.
650 0 _aMathematical physics.
650 0 _aMultibody systems.
_966046
650 0 _aVibration.
_966047
650 0 _aMechanics, Applied.
650 0 _aDynamical systems.
650 1 4 _aMathematical Physics.
650 2 4 _aMultibody Systems and Mechanical Vibrations.
_966048
650 2 4 _aDynamical Systems.
700 1 _aLeonid, Igumnov.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_990634
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9789819767786
776 0 8 _iPrinted edition:
_z9789819767809
776 0 8 _iPrinted edition:
_z9789819767816
830 0 _aAdvanced Structured Materials,
_x1869-8441 ;
_v222
_968737
856 4 0 _uhttps://doi.org/10.1007/978-981-97-6779-3
912 _aZDB-2-PHA
912 _aZDB-2-SXP
999 _c66616
_d66616