Period doubling bifurcation analysis and isolated sub-harmonic resonances in an oscillator with asymmetric clearances

R Alcorta, S Baguet, B Prabel, P Piteau… - Nonlinear …, 2019 - Springer
In this paper, a frequency-domain characterization of the period doubling bifurcation is
proposed. This allows an efficient detection and localization of such points along frequency …

Bifurcation tracking of geared systems with parameter-dependent internal excitation

A Mélot, E Rigaud, J Perret-Liaudet - Nonlinear Dynamics, 2022 - Springer
We herein propose an algorithm for tracking smooth bifurcations of nonlinear systems with
interdependent parameters. The approach is based on a complex formulation of the well …

Research on the influence of backlash on mesh stiffness and the nonlinear dynamics of spur gears

Y Xiong, K Huang, F Xu, Y Yi, M Sang, H Zhai - Applied Sciences, 2019 - mdpi.com
In light of ignoring the effect of backlash on mesh stiffness in existing gear dynamic theory, a
precise profile equation was established based on the generating processing principle. An …

Effects of wear, backlash, and bearing clearance on dynamic characteristics of a spur gear system

YK Gu, WF Li, J Zhang, GQ Qiu - IEEE Access, 2019 - ieeexplore.ieee.org
A six-degree-of-freedom gear pair torsional vibration model considering time-varying
stiffness, damping, dynamic backlash, bearing radial clearance and comprehensive wear of …

On Harmonic Balance Method-based Lagrangian contact formulations for vibro-impact problems

T Vadcard, A Batailly, F Thouverez - Journal of Sound and Vibration, 2022 - Elsevier
This article assesses two Harmonic Balance Method-based numerical Lagrangian strategies
for the characterization of the periodic response of a mechanical system subject to unilateral …

Insights on the continuous representations of piecewise-smooth nonlinear systems: limits of applicability and effectiveness

BE Saunders, R Vasconcellos, RJ Kuether… - Nonlinear …, 2022 - Springer
Dynamical systems subject to intermittent contact are often modeled with piecewise-smooth
contact forces. However, the discontinuous nature of the contact can cause inaccuracies in …

Consequences and benefits of utilizing continuous vibro-impact representations in constrained pipeline conveying fluid systems

T Alvis, BE Saunders, A Abdelkefi - Nonlinear Dynamics, 2023 - Springer
The effectiveness of continuous vibro-impact forcing representations for the cantilevered
pipe that conveys fluid is explored and analyzed. The previously accepted forcing model …

Direct optimisation based model selection and parameter estimation using time-domain data for identifying localised nonlinearities

S Safari, JML Monsalve - Journal of Sound and Vibration, 2021 - Elsevier
A major difficulty when modelling nonlinear structures from experimental vibration data is to
determine the type of nonlinear functions that will better predict their dynamic response. In …

Study on the dynamic behavior of herringbone gear structure of marine propulsion system powered by double-cylinder turbines

JH Xu, CX Jiao, DL Zou, N Ta, ZS Rao - Science China Technological …, 2022 - Springer
Propulsion systems powered by double-cylinder turbines (DCT) are widely used in large-
scale ships. However, the nonlinear instability leads to hidden dangers associated with the …

Vibro-impact dynamics of large-scale geared systems

A Mélot, J Perret-Liaudet, E Rigaud - Nonlinear Dynamics, 2023 - Springer
This work is concerned with the analysis of vibro-impact responses observed in large-scale
nonlinear geared systems. Emphasis is laid on the interactions between the high-frequency …