000 04224nam a22005775i 4500
001 978-3-319-75154-2
003 DE-He213
005 20220801215654.0
007 cr nn 008mamaa
008 180416s2017 sz | s |||| 0|eng d
020 _a9783319751542
_9978-3-319-75154-2
024 7 _a10.1007/978-3-319-75154-2
_2doi
050 4 _aTA352-356
050 4 _aQC20.7.N6
072 7 _aTBJ
_2bicssc
072 7 _aGPFC
_2bicssc
072 7 _aTEC009000
_2bisacsh
072 7 _aTBJ
_2thema
072 7 _aGPFC
_2thema
082 0 4 _a515.39
_223
100 1 _aChechurin, Leonid.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_945775
245 1 0 _aPhysical Fundamentals of Oscillations
_h[electronic resource] :
_bFrequency Analysis of Periodic Motion Stability /
_cby Leonid Chechurin, Sergej Chechurin.
250 _a1st ed. 2017.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2017.
300 _aXV, 264 p. 196 illus., 33 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aContinuous Systems -- Discrete Systems -- Parametric Resonances of the Second and Higher Orders -- Nonlinear System Oscillation Stability -- . Parametric Resonance in hydrodynamics -- Correction of mono-frequency approximation of nonlinear systems -- On the Robustness of dynamic systems.
520 _aThe book introduces possibly the most compact, simple and physically understandable tool that can describe, explain, predict and design the widest set of phenomena in time-variant and nonlinear oscillations. The phenomena described include parametric resonances, combined resonances, instability of forced oscillations, synchronization, distributed parameter oscillation and flatter, parametric oscillation control, robustness of oscillations and many others. Although the realm of nonlinear oscillations is enormous, the book relies on the concept of minimum knowledge for maximum understanding. This unique tool is the method of stationarization, or one frequency approximation of parametric resonance problem analysis in linear time-variant dynamic systems. The book shows how this can explain periodic motion stability in stationary nonlinear dynamic systems, and reveals the link between the harmonic stationarization coefficients and describing functions. As such, the book speaks the language of control: transfer functions, frequency response, Nyquist plot, stability margins, etc. An understanding of the physics of stability loss is the basis for the design of new oscillation control methods for, several of which are presented in the book. These and all the other findings are illustrated by numerical examples, which can be easily reproduced by readers equipped with a basic simulation package like MATLAB with Simulink. The book offers a simple tool for all those travelling through the world of oscillations, helping them discover its hidden beauty. Researchers can use the method to uncover unknown aspects, and as a reference to compare it with other, for example, abstract mathematical means. Further, it provides engineers with a minimalistic but powerful instrument based on physically measurable variables to analyze and design oscillatory systems.
650 0 _aDynamics.
_945776
650 0 _aNonlinear theories.
_93339
650 0 _aControl engineering.
_931970
650 0 _aNonlinear Optics.
_911414
650 1 4 _aApplied Dynamical Systems.
_932005
650 2 4 _aControl and Systems Theory.
_931972
650 2 4 _aNonlinear Optics.
_911414
700 1 _aChechurin, Sergej.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_945777
710 2 _aSpringerLink (Online service)
_945778
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783319751535
776 0 8 _iPrinted edition:
_z9783319751559
776 0 8 _iPrinted edition:
_z9783030091606
856 4 0 _uhttps://doi.org/10.1007/978-3-319-75154-2
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cEBK
999 _c77738
_d77738