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On resonant elliptic systems with rapidly rotating nonlinearities
(Khayyam Publishing, 2012)
We study a Neumann problem for a nonlinear elliptic system. Unlike previous results in the literature of Landesman–Lazer type, our existence theorem allows rapid rotations on the nonlinear term.
Effects of noise on the internal resonance of a nonlinear oscillator
(Nature Publishing Group, 2018-12)
We numerically analyze the response to noise of a system formed by two coupled mechanical oscillators, one of them having Duffing and van der Pol nonlinearities, and being excited by a self-sustaining force proportional ...
Internal resonance in a vibrating beam: A zoo of nonlinear resonance peaks
(Public Library of Science, 2016-09-20)
In oscillating mechanical systems, nonlinearity is responsible for the departure from proportionality between the forces that sustain their motion and the resulting vibration amplitude. Such effect may have both beneficial ...
A strategy to suppress limit cycle oscillations in helicopter ground resonance including landing gear nonlinearities
(2020-10-01)
Ground Resonance (GR) in helicopters is a potentially dynamic instability commonly involving the coalescence of the blade lag mode with the fuselage motion. Linear techniques can be employed to identify the unstable rotor ...
On non-ideal and non-linear portal frame dynamics analysis using Bogoliubov averaging method
(2002-11-01)
We apply the Bogoliubov Averaging Method to the study of the vibrations of an elastic foundation, forced by a Non-ideal energy source. The considered model consists of a portal plane frame with quadratic nonlinearities, ...
On non-ideal and non-linear portal frame dynamics analysis using Bogoliubov averaging method
(2002-11-01)
We apply the Bogoliubov Averaging Method to the study of the vibrations of an elastic foundation, forced by a Non-ideal energy source. The considered model consists of a portal plane frame with quadratic nonlinearities, ...
The asteroid population in g-type non-linear secular resonances
(Oxford Univ Press, 2017-07-01)
Non-linear secular resonances of g-type, i.e. involving the frequency of precession g of the asteroid pericentre, can affect the proper eccentricities of asteroids in resonant or near-resonant configurations. We first ...
Inner detached frequency response curves: an experimental study
(Elsevier B.V., 2017-05-26)
Certain nonlinear vibrating systems have frequency response curves (FRCs), in which isolated detached curves exist inside the main continuous FRC. The behavior of these systems has hitherto been studied analytically and ...
Quantum manifestations of classical nonlinear resonances
(American Physical Society, 2015-12)
When an integrable classical system is perturbed, nonlinear resonances are born, grow, and eventually disappear due to chaos. In this paper the quantum manifestations of such a transition are studied in the standard map. ...
Analytical study of the nonlinear behavior of a shape memory oscillator: Part I-primary resonance and free response at low temperatures
(Springer, 2010-03-01)
In this work, the response of a single-degree-of-freedom shape memory oscillator subjected to the excitation harmonic has been investigated. Equation of motion is formulated assuming a polynomial constitutive model to ...