Hamiltonian dynamics and targeted energy transfer of a grounded bistable nonlinear energy sink

DOI10.1016/J.CNSNS.2022.106898OpenAlexW4297178704MaRDI QIDQ2108632

Xinxing Zhou, Shuangbao Li, Jian'en Chen

Publication date: 20 December 2022

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2022.106898

zbMATH Keywords

Poincaré mapnonlinear normal modeisoenergetic manifoldasymmetric local nonlinear potentialfrequency energy plot

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Hamilton's equations (70H05)

Cites Work

• Experimental study of non-linear energy pumping occurring at a single fast frequency
• Nonlinear targeted energy transfer in mechanical and structural systems. 2 Vols.
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Elements of applied bifurcation theory.
• A degenerate bifurcation structure in the dynamics of coupled oscillators with essential stiffness nonlinearities
• Steady state passive nonlinear energy pumping in coupled oscillators: Theoretical and experimental results
• Highly efficient nonlinear energy sink
• Energy pumping with various nonlinear structures: Numerical evidences
• Energy Pumping in Nonlinear Mechanical Oscillators: Part I—Dynamics of the Underlying Hamiltonian Systems
• Energy Pumping in Nonlinear Mechanical Oscillators: Part II—Resonance Capture
• Transition of energy to a nonlinear localized mode in a highly asymmetric system of two oscillators
• Nonlinear targeted energy transfer: state of the art and new perspectives

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