Vibration suppression of a linear oscillator by a chain of nonlinear vibration absorbers with geometrically nonlinear damping

DOI10.1016/j.cnsns.2022.107016OpenAlexW4309203809MaRDI QIDQ2684099

Yanyan Li

Publication date: 16 February 2023

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.2022.107016

zbMATH Keywords

nonlinear energy sinktargeted energy transferslow invariant manifoldcomplexification-averaging method

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Systems with slow and fast motions for nonlinear problems in mechanics (70K70)

Cites Work

• Targeted energy transfer in mechanical systems by means of non-smooth nonlinear energy sink
• A new way to introduce geometrically nonlinear stiffness and damping with an application to vibration suppression
• Bifurcations of nonlinear normal modes of linear oscillator with strongly nonlinear damped attachment
• Nonlinear targeted energy transfer in mechanical and structural systems. 2 Vols.
• Vibratory control of a linear system by addition of a chain of nonlinear oscillators
• Nonlinear damping in nonlinear vibrations of rectangular plates: derivation from viscoelasticity and experimental validation
• Two-dimensional nonlinear energy sink for effective passive seismic mitigation
• Analysis of the 1:1 resonant energy exchanges between coupled oscillators with rheologies
• Energy Pumping in Nonlinear Mechanical Oscillators: Part I—Dynamics of the Underlying Hamiltonian Systems
• Energy Pumping in Nonlinear Mechanical Oscillators: Part II—Resonance Capture
• Tractable Models of Solid Mechanics
• The description of localized normal modes in a chain of nonlinear coupled oscillators using complex variables

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