A1 - Kravchenko, Alexandr
A1 - Verbitskii, Vladimir
A1 - Khrebet, Valery
A1 - Velmagina, Natalia
A1 - Muranov, Andrey
PB - The Lublin Branch of the Polish Academy of Sciences
N2 - An alternative approach of the determining of
conditions of safe stability loss of rectilinear motion of a
wheeled vehicle model with controlled wheel module in
the sense of N.N. Bautin is considered. The slipping
forces are presented accurate within cubic expansion
terms in the skid angles. Terms and conditions of safe
stability loss depend on the ratio between the coefficients
of resistance to the skid, the adhesion coefficients in the
transverse direction of the axes and the parameter of
torsional stiffness of the controlled wheel module.
The presented approach to the analysis of real
bifurcations related to the divergent loss of rectilinear
motion mode stability has a clear geometric pattern: if in
the vicinity of rectilinear motion at subcritical speed,
there are additionally two unstable circular stationary
states, then the stability limit is of dangerous nature in the
sense of N.N. Bautin; if two circular stationary modes
exist at supercritical speed, the limit of the stability loss
in the parameter space of the longitudinal velocity is safe
in the sense of N.N. Bautin. Analysis of the number of
stationary modes in the vicinity of the critical velocity of
rectilinear motion is performed for the obtained
determining equation - cubic binomial.
KW - wheel module
KW - stability
KW - adhesion coefficient
KW - slipping forces
KW - divergent bifurcation
T1 - Divergent bifurcations of stationary motion modes of wheeled vehicle model with controlled wheel module