000722534 000__ 02895cam\a2200493Ki\4500 000722534 001__ 722534 000722534 005__ 20230306140227.0 000722534 006__ m\\\\\o\\d\\\\\\\\ 000722534 007__ cr\cn\nnnunnun 000722534 008__ 140313s2014\\\\sz\a\\\\ob\\\\001\0\eng\d 000722534 020__ $$a9783319054193$$qelectronic book 000722534 020__ $$a3319054198$$qelectronic book 000722534 020__ $$z9783319054186 000722534 0247_ $$a10.1007/978-3-319-05419-3$$2doi 000722534 035__ $$aSP(OCoLC)ocn872566204 000722534 035__ $$aSP(OCoLC)872566204 000722534 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dN$T$$dYDXCP$$dOCLCO$$dCOO 000722534 049__ $$aISEA 000722534 050_4 $$aTA355$$b.L38 2014eb 000722534 08204 $$a531/.11$$223 000722534 1001_ $$aLe, Khanh Chau,$$d1955-$$eauthor. 000722534 24510 $$aEnergy methods in dynamics$$h[electronic resource] /$$cKhanh Chau Le, Lu Trong Khiem Nguyen. 000722534 250__ $$aSecond edition. 000722534 264_1 $$aCham :$$bSpringer,$$c2014. 000722534 264_4 $$c©2014 000722534 300__ $$a1 online resource (xii, 411 pages) :$$billustrations. 000722534 336__ $$atext$$btxt$$2rdacontent 000722534 337__ $$acomputer$$bc$$2rdamedia 000722534 338__ $$aonline resource$$bcr$$2rdacarrier 000722534 4901_ $$aInteraction of mechanics and mathematics,$$x1860-6245 000722534 504__ $$aIncludes bibliographical references and index. 000722534 506__ $$aAccess limited to authorized users. 000722534 520__ $$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), WentzelKramersBrillouin (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. 000722534 588__ $$aDescription based on print version record. 000722534 650_0 $$aDynamics$$xMathematical models. 000722534 650_0 $$aVibration$$xMathematical models. 000722534 650_0 $$aWaves$$xMathematical models. 000722534 7001_ $$aNguyen, Lu Trong Khiem,$$eauthor. 000722534 77608 $$iPrint version:$$z9783319054186 000722534 830_0 $$aInteraction of mechanics and mathematics series. 000722534 852__ $$bebk 000722534 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-05419-3$$zOnline Access$$91397441.1 000722534 909CO $$ooai:library.usi.edu:722534$$pGLOBAL_SET 000722534 980__ $$aEBOOK 000722534 980__ $$aBIB 000722534 982__ $$aEbook 000722534 983__ $$aOnline 000722534 994__ $$a92$$bISE