• Home
  • About
  • Featured Articles
  • Editorial Team
  • Announcements
  • Home
  • About
  • Featured Articles
  • Editorial Team
  • Announcements
JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS
  • Home
  • About
  • Featured Articles
  • Editorial Team
  • Announcements

Featured Articles

    Archives

    March 2023
    February 2023
    September 2022
    August 2022
    April 2022
    March 2022
    December 2021
    October 2021
    September 2021

    Categories

    All
    Actuators
    Approximation
    Artificial Neural Networks
    Bifurcation
    Boundary Conditions
    Boundary-value Problems
    Contact
    Continuation Methods
    Control
    Co-simulation
    Co-simulation Interface
    Damping
    Density
    Dynamic Models
    Dynamics
    Dynamic Systems
    Error Estimator
    Errors
    Exact Mode Shapes
    Exoskeleton Devices
    Friction
    Fuzzy Logic
    Geometry
    Heat
    Kinematics
    Limit Cycles
    Loaded Beam
    Manifolds
    Manipulators
    Midplane Stretching
    Multibody Dynamics
    Multibody Systems
    Multiphysics
    Multirate
    Noise
    Nonlinear Dynamical Systems
    Nonlinear Frequency
    Nonlinear Vibration
    Nonlinear Vibration Absorber
    NVA
    Origami
    Parallelization
    Parametrization
    Perturbation Methods
    Probability
    Prostheses
    Railroad Dynamics
    Real-time Dynamics Simulation
    Resonance
    Ships
    Simulation
    Solver Coupling
    Space
    Stability
    Time Delay Systems
    Topology
    Variable Macro-step Size
    Vehicular Dynamics
    Vibration
    Waves

    RSS Feed

Back to Blog

Vehicle Shimmy Modeling With Pacejka’s Magic Formula and the Delayed Tire Model

9/8/2021

 
Tian Mi, Gabor Stepan, Denes Takacs, and Nan Chen (January 23, 2020). "Vehicle Shimmy Modeling With Pacejka's Magic Formula and the Delayed Tire Model." ASME. J. Comput. Nonlinear Dynam. March 2020; 15(3): 031005. https://doi.org/10.1115/1.4045943
Picture

Shimmy is a self-excited vibration which can appear in various wheeled mechanisms such as trailers, motorcycles, bicycles, cars, landing gears of aircrafts, and even baby strollers or supermarket trolleys. Shimmy of cars is also known as vehicle shimmy or death wobble. The cause of shimmy is related to the dynamic characteristics of the tire-road contact and the overall system structure. It increases tire wear, deteriorates vehicle handling, and causes further instability problems of the whole vehicle.

In this paper, a 3 degree-of-freedom model of vehicle front wheels with dependent suspension is studied from the viewpoint of possible appearance of shimmy, and two tire models are compared. The two tire models have essentially different assumptions: Pacejka’s magic formula uses linearization in space along the tire-ground contact line where the tire points stick to the ground, while the delayed tire model uses linearization in time by considering small (but spatially nonlinear) lateral deformations of the tire in the contact region. The theoretical results show that the delayed tire model presents additional instabilities (i.e., shimmy) at low speeds, and especially at low damping values.

The investigation of this model is motivated by the occurrence of shimmy on some heavy vehicles and jeeps with worn front wheel suspension system, and the conclusions might be useful in the future study of shimmy in systems with independent suspensions of some electric vehicles.
0 Comments
Read More
Picture
JOURNAL OF COMPUTATIONAL and
​NONLINEAR DYNAMICS
COMPANION

QUICK LINKS

Submit Paper
Author Resources
Digital Collection
Indexing Information
Order Journal
Announcements and Call for Papers
Copyright © 2021 Journal of Computational and Nonlinear Dynamics