Energy harvesting in a Mathieu–van der Pol–Duffing MEMS device using time delay

M Belhaq, Z Ghouli, M Hamdi - Nonlinear Dynamics, 2018 - Springer
This paper investigates quasi-periodic vibration-based energy harvesting in a delayed
nonlinear MEMS device consisting of a delayed Mathieu–van der Pol–Duffing type oscillator …

Effects and applications of non-resonant high-frequency excitation on nonlinear systems: a literature review

PK Sahoo, S Chatterjee - Nonlinear Dynamics, 2024 - Springer
This paper provides an in-depth discussions and review of the non-trivial effects of non-
resonant high-frequency excitation (HFE) on nonlinear systems, emphasizing its extensive …

An incremental harmonic balance method with two time-scales for quasi-periodic responses of a Van der Pol–Mathieu equation

JL Huang, T Wang, WD Zhu - International Journal of Non-linear Mechanics, 2021 - Elsevier
An incremental harmonic balance (IHB) method with two time-scales is presented and used
for calculating accurate quasi-periodic responses of a one-degree-of-freedom Van der Pol …

Locking of electrostatically coupled thermo-optically driven MEMS limit cycle oscillators

AT Zehnder, RH Rand, S Krylov - International Journal of Non-Linear …, 2018 - Elsevier
A model of coupled limit cycle oscillators is developed and analyzed to discover and map
out the system's locking behavior. This sixth order model is motivated by the physical …

含外激励van der Pol-Mathieu 方程的非线性动力学特性分析

黄建亮, 王腾, 陈树辉 - 力学学报, 2021 - lxxb.cstam.org.cn
本文针对含有自激励, 参数激励和外激励等三种激励联合作用下van der Pol-Mathieu
方程的周期响应和准周期运动进行分析, 发现其准周期运动的频谱中含有均匀边频带这一新的 …

Controlling subharmonic resonance and chaos by a fast forcing in a van der Pol–Duffing oscillator with parametrically excited damping

S Roy, A Ray, AR Chowdhury - Chaos, Solitons & Fractals, 2023 - Elsevier
A periodically damped van der Pol oscillator is analysed with emphasis on the formation of
sub harmonic resonance and the corresponding transition of its motion to the chaotic …

Resonances of a forced van der Pol equation with parametric damping

F Afzali, E Kharazmi, BF Feeny - Nonlinear Dynamics, 2023 - Springer
This work entails an analysis of secondary resonances in the parametrically damped van
der Pol equation, with and without external excitation. A potential application of this system …

Vibrational resonance in a bistable van der Pol–Mathieu–Duffing oscillator

S Roy, D Das, D Banerjee - International Journal of Non-Linear Mechanics, 2021 - Elsevier
In this paper, we study the nonlinear response of a bistable van der Pol–Mathieu–Duffing
(VMD) oscillator under the influence of two periodic excitations of widely different …

Energy harvesting from quasi-periodic vibrations using electromagnetic coupling with delay

Z Ghouli, M Hamdi, M Belhaq - Nonlinear Dynamics, 2017 - Springer
In this paper, we study quasi-periodic vibrational energy harvesting in a delayed self-excited
oscillator with a delayed electromagnetic coupling. The energy harvester system consists in …

Forced large amplitude periodic vibrations of non-linear Mathieu resonators for microgyroscope applications

N Kacem, S Hentz, S Baguet, R Dufour - International Journal of Non-Linear …, 2011 - Elsevier
This paper describes a comprehensive non-linear multiphysics model based on the Euler–
Bernoulli beam equation that remains valid up to large displacements in the case of …