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[null,"1.","Record Nr.",null,"UNINA9910299709403321"]
[null,null,"Autore",null,"Le Khanh Chau"]
[null,null,"Titolo",null,"Energy Methods in Dynamics / / by Khanh Chau Le, Lu Trong Khiem Nguyen"]
[null,null,"Pubbl/distr/stampa",null,"Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014"]
[null,null,"ISBN",null,"3-319-05419-8"]
[null,null,"Edizione",null,"[2nd ed. 2014.]"]
[null,null,"Descrizione fisica",null,"1 online resource (419 p.)"]
[null,null,"Collana",null,"Interaction of Mechanics and Mathematics, , 1860-6245"]
[null,null,"Disciplina",null,"003.85"]
[null,null,"Soggetti",null,"Vibration"]
[{"$nulls":4},"Dynamics"]
[{"$nulls":4},"System theory"]
[{"$nulls":4},"Energy"]
[{"$nulls":4},"Vibration, Dynamical Systems, Control"]
[{"$nulls":4},"Systems Theory, Control"]
[{"$nulls":4},"Energy, general"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"Preface to the Second Edition; Preface to the First Edition; Contents; Part I; Single Oscillator; 1.1 Harmonic Oscillator; 1.2 Damped Oscillator; 1.3 Forced Oscillator; 1.4 Harmonic Excitations and Resonance; 1.5 Exercises; Coupled Oscillators; 2.1 Conservative Oscillators; 2.2 Dissipative Oscillators; 2.3 Forced Oscillators and Vibration Control; 2.4 Variational Principles; 2.5 Oscillators with; 2.6 Exercises; Continuous Oscillators; 3.1 Chain of Oscillators; 3.2 String; 3.3 Beam; 3.4 Membrane; 3.5 Plate; 3.6 General Continuous Oscillators; 3.7 Exercises; LinearWaves; 4.1 HyperbolicWaves"]
[{"$nulls":4},"4.2 DispersiveWaves4.3 ElasticWaveguide; 4.4 Energy Method; 4.5 Exercises; Part II; Autonomous Single Oscillator; 5.1 Conservative Oscillator; 5.2 Dissipative Oscillator; 5.3 Self-excited Oscillator; 5.4 Oscillator withWeak or Strong Dissipation; 5.5 Exercises; Non-autonomous Single Oscillator; 6.1 Parametrically-Excited Oscillator; 6.2 Mathieu's Differential Equation; 6.3 Duffing's Forced Oscillator; 6.4 Forced Vibration of Self-excited Oscillator; 6.5 Exercises; Coupled Oscillators; 7.1 Conservative Oscillators; 7.2 Bifurcation of Nonlinear Normal Modes; 7.3 KAM Theory"]
[{"$nulls":4},"7.4 Coupled Self-excited Oscillators7.5 Exercises; NonlinearWaves; 8.1 "]
[{"$nulls":4},"Solitary and PeriodicWaves; 8.2 Inverse Scattering Transform; 8.3 Energy Method; 8.4 Amplitude and Slope Modulation; 8.5 Amplitude Modulations for KdV Equation; 8.6 Exercises; Notation; References; Index"]
[null,null,null,"Sommario/riassunto","Energy 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."]