Numerical Analysis on Shimmying Wheels with Dry Friction Damper
Authors
-
Hanna Zsofia Horvath
AffiliationDepartment of Applied Mechanics, Faculty of Mechanical Engineering, Budapest University of Technology and Economics, H-1111 Budapest, Műegyetem rkp. 3, Hungary
-
Denes Takacs
Affiliation
ELKH-BME Dynamics of Machines Research Group, H-1111 Budapest, Műegyetem rkp. 3, Hungary
Abstract
The dynamics of the 1.5-degree-of-freedom model of towed wheel is investigated. Dry friction at the king pin is considered, leading to a non-smooth dynamical system. Beyond analytical and numerical linear stability analysis, the nonlinear vibrations are investigated by numerical bifurcation analysis with smoothing and by numerical simulations with event handling. The effect of dry friction at the king pin on the birth of separated periodic branches is presented on bifurcation diagrams. The presence of bistable parameter domains is also shown. The effect of smoothing is investigated by comparing bifurcation diagrams of the smoothed and the original non-smooth systems.
Keywords:
wheel shimmy, dry friction damper, non-smooth system, bifurcation analysis, numerical simulation, event handlingCitation data from Crossref and Scopus
