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Title: Stable motion of transport vehicles with allowance for the steering system vibrations

Abstract

A new mathematical model is developed for the plane-parallel motion of a system consisting of the frame of a vehicle and a steering system that controls the motion. The stability of straight-line motion is investigated. In most studies on the stability of the straight-line motion of a motor vehicle and a tractor-trailer unit it is assumed that in disturbed motion the driver keeps the steerable wheels in a neutral (unturned) position: the angle {theta} through which the wheels are turned about the axis of the steering knuckle pivot is zero. The validity of the assumption that {theta} = 0 can be argued in only one way, i.e., the torsional stiffness {Kappa} of the steering system is fairly high: if {Kappa} {yields} {infinity}, then {theta} = 0. For finite values of {Kappa} we have {theta} = 0. In that case the variable {theta} is determined by its differential equation, i.e., the number of degrees of freedom of the vehicle increases by one. The dynamic behavior of vehicles in this formulation is considered in this paper.

Authors:
;  [1]
  1. S.P. Timoshenko Institute of Mechanics, Kiev (Ukraine)
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
391787
Resource Type:
Journal Article
Journal Name:
International Applied Mechanics
Additional Journal Information:
Journal Volume: 31; Journal Issue: 4; Other Information: PBD: Oct 1995; TN: Translated from Prikladnaya Mekhanika; 31: No. 4, 96-93(Apr 1995)
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; 99 MATHEMATICS, COMPUTERS, INFORMATION SCIENCE, MANAGEMENT, LAW, MISCELLANEOUS; VEHICLES; EQUATIONS OF MOTION; MECHANICAL VIBRATIONS; MATHEMATICAL MODELS; DIFFERENTIAL EQUATIONS; STABILITY

Citation Formats

Lobas, V I, and Verbitskii, V G. Stable motion of transport vehicles with allowance for the steering system vibrations. United States: N. p., 1995. Web. doi:10.1007/BF00846783.
Lobas, V I, & Verbitskii, V G. Stable motion of transport vehicles with allowance for the steering system vibrations. United States. https://doi.org/10.1007/BF00846783
Lobas, V I, and Verbitskii, V G. 1995. "Stable motion of transport vehicles with allowance for the steering system vibrations". United States. https://doi.org/10.1007/BF00846783.
@article{osti_391787,
title = {Stable motion of transport vehicles with allowance for the steering system vibrations},
author = {Lobas, V I and Verbitskii, V G},
abstractNote = {A new mathematical model is developed for the plane-parallel motion of a system consisting of the frame of a vehicle and a steering system that controls the motion. The stability of straight-line motion is investigated. In most studies on the stability of the straight-line motion of a motor vehicle and a tractor-trailer unit it is assumed that in disturbed motion the driver keeps the steerable wheels in a neutral (unturned) position: the angle {theta} through which the wheels are turned about the axis of the steering knuckle pivot is zero. The validity of the assumption that {theta} = 0 can be argued in only one way, i.e., the torsional stiffness {Kappa} of the steering system is fairly high: if {Kappa} {yields} {infinity}, then {theta} = 0. For finite values of {Kappa} we have {theta} = 0. In that case the variable {theta} is determined by its differential equation, i.e., the number of degrees of freedom of the vehicle increases by one. The dynamic behavior of vehicles in this formulation is considered in this paper.},
doi = {10.1007/BF00846783},
url = {https://www.osti.gov/biblio/391787}, journal = {International Applied Mechanics},
number = 4,
volume = 31,
place = {United States},
year = {Sun Oct 01 00:00:00 EDT 1995},
month = {Sun Oct 01 00:00:00 EDT 1995}
}