On the interaction of the responses at the resonance frequencies of a nonlinear two degrees-of-freedom system

DOI10.1016/J.PHYSD.2010.01.006zbMath1186.37102OpenAlexW2056778766WikidataQ107162040 ScholiaQ107162040MaRDI QIDQ968508

Ivana Kovacic, Michael J. Brennan, Gianluca Gatti

Publication date: 5 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.physd.2010.01.006

zbMATH Keywords

coupled oscillatorsnonlinear vibrationdetached resonance curves

Mathematics Subject Classification ID

Experimental work for problems pertaining to mechanics of particles and systems (70-05) Dynamical systems in solid mechanics (37N15) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Forced motions in linear vibration theory (70J35)

Related Items (10)

Response regimes in forced system with non-linear energy sink: quasi-periodic and random forcing ⋮ Responses of a two degrees-of-freedom system with uncertain parameters in the vicinity of resonance 1:1 ⋮ Non-resonant damped transitions resembling continuous resonance scattering in coupled oscillators with essential nonlinearities ⋮ Interactions of propagating waves in a one-dimensional chain of linear oscillators with a strongly nonlinear local attachment ⋮ Isolated resonances and nonlinear damping ⋮ Analysis of a reduced-order nonlinear model of a multi-physics beam ⋮ COALESCENCE OF THE TWO SECONDARY RESPONSES IN COUPLED DUFFING EQUATIONS ⋮ A new way to introduce geometrically nonlinear stiffness and damping with an application to vibration suppression ⋮ The generalization of equal-peak method for delay-coupled nonlinear system ⋮ Closed-form solutions for the symmetric nonlinear free oscillations of pyramidal trusses

Cites Work

• Attractors of harmonically forced linear oscillator with attached nonlinear energy sink. I: Description of response regimes
• Attractors of harmonically forced linear oscillator with attached nonlinear energy sink. II: Optimization of a nonlinear vibration absorber
• On the response of the nonlinear vibration absorber
• Steady state passive nonlinear energy pumping in coupled oscillators: Theoretical and experimental results
• On the Steady State Response and Stability of Non-Linear Oscillators Using Harmonic Balance

This page was built for publication: On the interaction of the responses at the resonance frequencies of a nonlinear two degrees-of-freedom system