000 02898nam a22005535i 4500
001 978-3-319-05419-3
003 DE-He213
005 20200421111659.0
007 cr nn 008mamaa
008 140304s2014 gw | s |||| 0|eng d
020 _a9783319054193
_9978-3-319-05419-3
024 7 _a10.1007/978-3-319-05419-3
_2doi
050 4 _aTA355
050 4 _aTA352-356
072 7 _aTGMD4
_2bicssc
072 7 _aTEC009070
_2bisacsh
072 7 _aSCI018000
_2bisacsh
082 0 4 _a620
_223
100 1 _aLe, Khanh Chau.
_eauthor.
245 1 0 _aEnergy Methods in Dynamics
_h[electronic resource] /
_cby Khanh Chau Le, Lu Trong Khiem Nguyen.
250 _a2nd ed. 2014.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2014.
300 _aXII, 413 p. 183 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aInteraction of Mechanics and Mathematics,
_x1860-6245
520 _aEnergy Methods in Dynamics is a textbook based on the lectures given by the first author at Ruhr University Bochum, Germany. Its aim is to help students acquire both a good grasp of the first principles from which the governing equations can be derived, and the adequate mathematical methods for their solving. Its distinctive features, as seen from the title, lie in the systematic and intensive use of Hamilton's variational principle and its generalizations for deriving the governing equations of conservative and dissipative mechanical systems, and also in providing the direct variational-asymptotic analysis, whenever available, of the energy and dissipation for the solution of these equations. It demonstrates that many well-known methods in dynamics like those of Lindstedt-Poincare, Bogoliubov-Mitropolsky, Kolmogorov-Arnold-Moser (KAM), Wentzel-Kramers-Brillouin (WKB),  and Whitham are derivable from this variational-asymptotic analysis.   This second edition includes the solutions to all exercises as well as some new materials concerning amplitude and slope modulations of nonlinear dispersive waves.
650 0 _aEngineering.
650 0 _aEnergy.
650 0 _aSystem theory.
650 0 _aVibration.
650 0 _aDynamical systems.
650 0 _aDynamics.
650 1 4 _aEngineering.
650 2 4 _aVibration, Dynamical Systems, Control.
650 2 4 _aSystems Theory, Control.
650 2 4 _aEnergy, general.
700 1 _aNguyen, Lu Trong Khiem.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319054186
830 0 _aInteraction of Mechanics and Mathematics,
_x1860-6245
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-05419-3
912 _aZDB-2-ENG
942 _cEBK
999 _c54869
_d54869