A principle of similarity for nonlinear vibration absorbers

DOI10.1016/j.physd.2016.06.001zbMath1415.34071arXiv1606.01244OpenAlexW2431945536WikidataQ118359429 ScholiaQ118359429MaRDI QIDQ1999950

Giuseppe Habib, Gaëtan Kerschen

Publication date: 27 June 2019

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.01244

zbMATH Keywords

nonlinear resonancesvibration absorberequal-peak methodprinciple of similarity

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (12)

A fully passive nonlinear piezoelectric vibration absorber ⋮ Multimodal vibration suppression of nonlinear Euler-Bernoulli beam by multiple time-delayed vibration absorbers ⋮ Hybrid vibration absorber for self-induced vibration suppression: exact analytical formulation for acceleration feedback control ⋮ Investigations on amplitude adaptive sequential friction‐spring dampers ⋮ Global detection of detached periodic solution branches of friction-damped mechanical systems ⋮ Nonlinear passive control of a pendulum submitted to base excitations ⋮ A Multimodal Nonlinear Tuned Vibration Absorber ⋮ A nonlinear X-shaped structure based tuned mass damper with multi-variable optimization (X-absorber) ⋮ Isolated resonances and nonlinear damping ⋮ Impulsive vibration mitigation through a nonlinear tuned vibration absorber ⋮ Traditional and non-traditional active nonlinear vibration absorber with time delay combination feedback for hard excitation ⋮ The generalization of equal-peak method for delay-coupled nonlinear system

Cites Work

• On the hysteresis of wire cables in stockbridge dampers
• Nonlinear targeted energy transfer in mechanical and structural systems. 2 Vols.
• The harmonic balance method for bifurcation analysis of large-scale nonlinear mechanical systems
• Energy Pumping in Nonlinear Mechanical Oscillators: Part I—Dynamics of the Underlying Hamiltonian Systems
• Energy Pumping in Nonlinear Mechanical Oscillators: Part II—Resonance Capture
• Optimum tuning and damping of a dynamic vibration absorber applied to a force excited and damped primary system
• Suppression of limit cycle oscillations using the nonlinear tuned vibration absorber

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