Nonlinear analysis of a two-DOF sliding system with a periodically modulated normal force

The nonlinear dynamics of a sliding system with a harmonically modulated normal force and Coulomb friction in contact with a rigid plate is studied in this paper. The system is a simple two-DOF linear structure integrated with a geometrically nonlinear elastic attachment. Periodically modulated norm...

Full description

Saved in:
Bibliographic Details
Published in:Journal of the Brazilian Society of Mechanical Sciences and Engineering 2021-07, Vol.43 (7), Article 329
Main Author: Bidhendi, M. Reza Talebi
Format: Article
Language:English
Subjects:
Angular velocity
Coulomb friction
Dynamical systems
Engineering
Hopf bifurcation
Mechanical Engineering
Misalignment
Nonlinear analysis
Nonlinear dynamics
Nonlinear response
Nonlinearity
Resonant frequencies
Sliding
Technical Paper
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The nonlinear dynamics of a sliding system with a harmonically modulated normal force and Coulomb friction in contact with a rigid plate is studied in this paper. The system is a simple two-DOF linear structure integrated with a geometrically nonlinear elastic attachment. Periodically modulated normal force, which is perpendicular to the in-plane modes, is exerted on the structure. Nonlinearities are introduced by the elastic attachment and friction forces. Consequently, the two-to-one modal interaction between the in-plane modes is imposed. The nonlinear response and bifurcation characteristics of the aforementioned system are computed using AUTO software. Comprehensive numerical simulations revealed that (a) when the normal force frequency is in the vicinity of the vertical natural frequency (or twice the horizontal natural frequency), horizontal response loses its stability (period-doubling bifurcation) after a certain normal force threshold, and (b) parameters such as in-plane angular misalignment and the plate constant velocity govern the occurrence of the subsequent Hopf bifurcations.
ISSN:1678-5878
1806-3691
DOI:10.1007/s40430-021-03051-z