New analytical approach to energy pumping problem in strongly nonhomogeneous 2dof systems

DOI10.1007/S11012-006-9021-YzbMath1162.70326OpenAlexW2032997499MaRDI QIDQ1021191

Leonid I. Manevitch, Claude-Henri Lamarque, Andrey I. Musienko

Publication date: 8 June 2009

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11012-006-9021-y

zbMATH Keywords

coupled oscillatorsnonlinear dynamicsasymptotic methodsnumerical simulationsresonance capture

Mathematics Subject Classification ID

Nonlinear dynamics in mechanics (70K99)

Related Items (8)

Suppression of vibrations in strongly nonhomogeneous 2DOF systems ⋮ Analysis of the transient behavior in a two dof nonlinear system ⋮ Targeted energy transfer with parallel nonlinear energy sinks. I: Design theory and numerical results ⋮ Complexification-averaging method via the averaged Lagrangian ⋮ Targeted energy transfer in mechanical systems by means of non-smooth nonlinear energy sink ⋮ MULTI-SCALE DYNAMICS OF TWO COUPLED NONSMOOTH SYSTEMS ⋮ Dynamics of a linear system with time-dependent mass and a coupled light mass with non-smooth potential ⋮ DYNAMICS OF COUPLED DAHL TYPE AND NONSMOOTH SYSTEMS AT DIFFERENT SCALES OF TIME

Cites Work

• Transient dynamics of a dispersive elastic wave guide weakly coupled to an essentially nonlinear end attachment
• Dynamic interaction of a semi-infinite linear chain of coupled oscillators with a strongly nonlinear end attachment
• Energy Pumping in Nonlinear Mechanical Oscillators: Part I—Dynamics of the Underlying Hamiltonian Systems
• Energy Pumping in Nonlinear Mechanical Oscillators: Part II—Resonance Capture
• The description of localized normal modes in a chain of nonlinear coupled oscillators using complex variables
• Transition of energy to a nonlinear localized mode in a highly asymmetric system of two oscillators

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