Kinematic oscillations of railway wheelsets

Mate Antali, G. Stépán, S. John Hogan

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

We show that Klingel’s classical formula for the frequency of the small kinematic oscillations of railway wheelsets results in a significant error even in the simplest physically relevant cases. The exact 3D nonlinear equations are derived for single-contact-point models of conical wheels and cylindrical rails. We prove that the resulting nonlinear system exhibits periodic motions around steady rolling, which consequently is neutrally stable. The linearised equations provide the proper extension of Klingel’s formula. Our results serve as an essential basis for checking multibody dynamics models and codes used in railway dynamics.

Original languageEnglish
Pages (from-to)259-274
Number of pages16
JournalMultibody System Dynamics
Volume34
Issue number3
DOIs
Publication statusPublished - Jul 12 2015

Fingerprint

Point contacts
Railway
Nonlinear equations
Rails
Nonlinear systems
Dynamic models
Kinematics
Wheels
Oscillation
Multibody Dynamics
Periodic Motion
Wheel
Dynamic Model
Nonlinear Equations
Nonlinear Systems
Contact
Model

Keywords

  • Kinematic oscillation
  • Klingel’s formula
  • Nonholonomic system
  • Railway wheelset

ASJC Scopus subject areas

  • Mechanical Engineering
  • Aerospace Engineering
  • Computer Science Applications
  • Control and Optimization
  • Modelling and Simulation

Cite this

Kinematic oscillations of railway wheelsets. / Antali, Mate; Stépán, G.; Hogan, S. John.

In: Multibody System Dynamics, Vol. 34, No. 3, 12.07.2015, p. 259-274.

Research output: Contribution to journalArticle

Antali, Mate ; Stépán, G. ; Hogan, S. John. / Kinematic oscillations of railway wheelsets. In: Multibody System Dynamics. 2015 ; Vol. 34, No. 3. pp. 259-274.
@article{f0ea8b422ce7407894318c38e615eccb,
title = "Kinematic oscillations of railway wheelsets",
abstract = "We show that Klingel’s classical formula for the frequency of the small kinematic oscillations of railway wheelsets results in a significant error even in the simplest physically relevant cases. The exact 3D nonlinear equations are derived for single-contact-point models of conical wheels and cylindrical rails. We prove that the resulting nonlinear system exhibits periodic motions around steady rolling, which consequently is neutrally stable. The linearised equations provide the proper extension of Klingel’s formula. Our results serve as an essential basis for checking multibody dynamics models and codes used in railway dynamics.",
keywords = "Kinematic oscillation, Klingel’s formula, Nonholonomic system, Railway wheelset",
author = "Mate Antali and G. St{\'e}p{\'a}n and Hogan, {S. John}",
year = "2015",
month = "7",
day = "12",
doi = "10.1007/s11044-014-9424-9",
language = "English",
volume = "34",
pages = "259--274",
journal = "Multibody System Dynamics",
issn = "1384-5640",
publisher = "Springer Netherlands",
number = "3",

}

TY - JOUR

T1 - Kinematic oscillations of railway wheelsets

AU - Antali, Mate

AU - Stépán, G.

AU - Hogan, S. John

PY - 2015/7/12

Y1 - 2015/7/12

N2 - We show that Klingel’s classical formula for the frequency of the small kinematic oscillations of railway wheelsets results in a significant error even in the simplest physically relevant cases. The exact 3D nonlinear equations are derived for single-contact-point models of conical wheels and cylindrical rails. We prove that the resulting nonlinear system exhibits periodic motions around steady rolling, which consequently is neutrally stable. The linearised equations provide the proper extension of Klingel’s formula. Our results serve as an essential basis for checking multibody dynamics models and codes used in railway dynamics.

AB - We show that Klingel’s classical formula for the frequency of the small kinematic oscillations of railway wheelsets results in a significant error even in the simplest physically relevant cases. The exact 3D nonlinear equations are derived for single-contact-point models of conical wheels and cylindrical rails. We prove that the resulting nonlinear system exhibits periodic motions around steady rolling, which consequently is neutrally stable. The linearised equations provide the proper extension of Klingel’s formula. Our results serve as an essential basis for checking multibody dynamics models and codes used in railway dynamics.

KW - Kinematic oscillation

KW - Klingel’s formula

KW - Nonholonomic system

KW - Railway wheelset

UR - http://www.scopus.com/inward/record.url?scp=84930760311&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84930760311&partnerID=8YFLogxK

U2 - 10.1007/s11044-014-9424-9

DO - 10.1007/s11044-014-9424-9

M3 - Article

AN - SCOPUS:84930760311

VL - 34

SP - 259

EP - 274

JO - Multibody System Dynamics

JF - Multibody System Dynamics

SN - 1384-5640

IS - 3

ER -