Energy methods in dynamics

DOI10.1007/978-3-319-05419-3zbMath1303.70001OpenAlexW4302034459MaRDI QIDQ5891441

Lu Trong Khiem Nguyen, Le Khanh Chau

Publication date: 12 August 2014

Published in: Interaction of Mechanics and Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-05419-3

zbMATH Keywords

Laplace transformnonlinear vibrationwaveHamilton principlelinear vibrationvariational-asymptotic method

Mathematics Subject Classification ID

Variational methods for problems in mechanics (70G75) Vibrations in dynamical problems in solid mechanics (74H45) Hamilton's principle (70H25) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to mechanics of deformable solids (74-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to mechanics of particles and systems (70-01) Waves in solid mechanics (74Jxx) Nonlinear dynamics in mechanics (70Kxx)

Related Items (10)

Amplitude modulation of waves governed by Korteweg-de Vries equation ⋮ \({(2+1)}\)-dimensional nonlinear Rossby solitary waves under the effects of generalized beta and slowly varying topography ⋮ Rossby solitary waves excited by the unstable topography in weak shear flow ⋮ Amplitude modulation of water waves governed by Boussinesq's equation ⋮ Wronskian formulation and ansatz method for bad Boussinesq equation ⋮ On the existence of solitary waves for an internal system of the Benjamin-Ono type ⋮ Slope modulation of ring waves governed by two-dimensional sine-Gordon equation ⋮ Three-dimensional coupled NLS equations for envelope gravity solitary waves in baroclinic atmosphere and modulational instability ⋮ Dynamics of nonlinear Rossby waves in zonally varying flow with spatial-temporal varying topography ⋮ The Oscillator with Linear and Cubic Elastic Restoring Force and Quadratic Damping

Uses Software

• Mathematica

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