[HTML][HTML] Nonautonomous spectral submanifolds for model reduction of nonlinear mechanical systems under parametric resonance
We use the recent theory of spectral submanifolds (SSMs) for model reduction of nonlinear
mechanical systems subject to parametric excitations. Specifically, we develop expressions …
mechanical systems subject to parametric excitations. Specifically, we develop expressions …
Quasi-periodic oscillations, chaos and suppression of chaos in a nonlinear oscillator driven by parametric and external excitations
M Belhaq, M Houssni - Nonlinear Dynamics, 1999 - Springer
An analysis is given of the dynamic of a one-degree-of-freedom oscillator with quadratic and
cubic nonlinearities subjected to parametric and external excitations having …
cubic nonlinearities subjected to parametric and external excitations having …
Nonlinear dynamics of self-, parametric, and externally excited oscillator with time delay: van der Pol versus Rayleigh models
J Warminski - Nonlinear Dynamics, 2020 - Springer
The regular and chaotic vibrations of a nonlinear structure subjected to self-, parametric, and
external excitations acting simultaneously are analysed in this study. Moreover, a time delay …
external excitations acting simultaneously are analysed in this study. Moreover, a time delay …
Crossflow-induced membrane vibration and its effects on fouling and scaling in direct contact membrane distillation
Membrane distillation (MD) is driven by vapor pressures rather than hydraulic pressures.
Consequently, certain regions of the membrane may be in an unrestrained state, which …
Consequently, certain regions of the membrane may be in an unrestrained state, which …
Parametric, external and self-excitation of a tower under turbulent wind flow
In this paper the analysis of a self-excited tower under turbulent wind flow is carried out. The
structure is considered as a one dof nonlinear system, and the implications of this modeling …
structure is considered as a one dof nonlinear system, and the implications of this modeling …
Frequency entrainment for micromechanical oscillator
We demonstrate synchronization of laser-induced self-sustained vibrations of radio-
frequency micromechanical resonators by applying a small pilot signal either as an inertial …
frequency micromechanical resonators by applying a small pilot signal either as an inertial …
Energy harvesting in a Mathieu–van der Pol–Duffing MEMS device using time delay
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 …
nonlinear MEMS device consisting of a delayed Mathieu–van der Pol–Duffing type oscillator …
Chatter vibration phenomenon of pipeline inspection gauges (PIGs) in natural gas pipeline
H Zhang, S Zhang, S Liu, X Zhu, B Tang - Journal of Natural Gas Science …, 2015 - Elsevier
Pipeline inspection gauges (PIGs) are needed for operations such as cleaning and internal
inspection of the natural gas pipelines to facilitate improvement in efficiency and safety …
inspection of the natural gas pipelines to facilitate improvement in efficiency and safety …
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 …
for calculating accurate quasi-periodic responses of a one-degree-of-freedom Van der Pol …
Dynamic analysis of the response of Duffing-type oscillators subject to interacting parametric and external excitations
Prediction of the response of nonlinear dynamical systems under interacting parametric and
external excitations is important in designing systems such as sensors, amplifiers or energy …
external excitations is important in designing systems such as sensors, amplifiers or energy …