Targeted energy transfer with parallel nonlinear energy sinks. I: Design theory and numerical results

DOI10.1007/S11071-011-9949-XzbMath1337.70043OpenAlexW2006221091MaRDI QIDQ437117

Claude-Henri Lamarque, Alireza Ture Savadkoohi, Bastien Vaurigaud

Publication date: 17 July 2012

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-011-9949-x

zbMATH Keywords

bifurcationscomplexificationmultiple scalestuningNES in parallelstationary regimetransient regime

Mathematics Subject Classification ID

Hierarchical systems (93A13) Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Modal analysis in linear vibration theory (70J10) Resonance phenomena for ordinary differential equations involving randomness (34F15)

Related Items (14)

Vibration absorption of parallel-coupled nonlinear energy sink under shock and harmonic excitations ⋮ Force appropriation of nonlinear structures ⋮ Analysis of the 1:1 resonant energy exchanges between coupled oscillators with rheologies ⋮ The energy thresholds of nonlinear vibration absorbers ⋮ Vertical vibration control using nonlinear energy sink with inertial amplifier ⋮ Design and experiment of an adaptive dynamic vibration absorber with smart leaf springs ⋮ NES cell ⋮ Vibratory control of a linear system by addition of a chain of nonlinear oscillators ⋮ Aeroelastic instability analysis of NES-controlled systems via a mixed multiple scale/harmonic balance method ⋮ Vibration suppression and modal energy transfers in a linear beam with attached vibro-impact nonlinear energy sinks ⋮ 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 ⋮ Thermal effect on dynamics of beam with variable-stiffness nonlinear energy sink ⋮ DYNAMICS OF COUPLED DAHL TYPE AND NONSMOOTH SYSTEMS AT DIFFERENT SCALES OF TIME

Cites Work

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• Energy Pumping in Nonlinear Mechanical Oscillators: Part I—Dynamics of the Underlying Hamiltonian Systems
• Energy Pumping in Nonlinear Mechanical Oscillators: Part II—Resonance Capture
• Shock Isolation Through the Use of Nonlinear Energy Sinks
• Design of Mechanical Energy Pumping Devices
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