Parametric resonance - Open Access .click

Results in Mathematics, 2010
This paper studies the existence of unbounded solutions of the adiabatic oscillator \[ \frac{d^2x}{dt^2}+\left(1+a\;\frac{\sin\varphi(t)}{t^\rho}\right)x=0, \quad t\in\mathbb{R},\quad \rho>0,\quad a\in\mathbb{R}\setminus \{0\}. \] The proofs are based on averaging changes of variables in systems with oscillatory decreasing coefficients and Levinson's ...
Pavel Nesterov
exaly +3 more sources

High-frequency vibrational control of principal parametric resonance of a nonlinear cantilever beam: Theory and experiment

Journal of Sound and Vibration, 2021
The effects of high-frequency parametric excitation on the principal parametric resonance of a nonlinear beam are studied both theoretically and experimentally.
Pradyumna Kumar Sahoo, S Chatterjee
exaly +2 more sources

Three-dimensional parametric resonance of fluid-conveying pipes in the pre-buckling and post-buckling states

, 2021
The paper presents a model of describing three-dimension parametric vibrations of a simply supported pipe conveying pulsating fluid. The three-dimensional motion equation of the system is a set of two nonlinear partial differential equations developed on
Li Qian, Wei Liu, Kuan Lu, Z. Yue
semanticscholar +1 more source

Generalized Parametric Resonance

SIAM Journal on Applied Dynamical Systems, 2016
Summary: We consider the dynamic response of systems subjected to principal parametric resonant excitation in which the full potential, including nonlinearities, is modulated in a time-periodic manner. This work was motivated by the model of \textit{J. F. Rhoads} et al.
Oriel Shoshani, Steven W. Shaw
openaire +1 more source

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