On the targets of vehicle dynamics. Dynamical system-parameters of vehicles.
criteriumtspace, dynamical operator.
Diagnostics purpose decision-making.
fundamental motion of vehicles.
Motion state-, control- and time dependence
of the forces determining the fundamental motion.
Versatile analysis of the
tractive effort, tractive effort characteristics, tractive effort transients.
Versatile analysis of the braking force, braking force characteristics, braking
The basic traction resistance force and its components. Measurement
and evaluation of the basic traction resistance force, construction of the
basic traction resistance performance surface. Additional resistance forces:
inclination and curving reseistances. Transition curves and rounding-circle-arcs
in vertical plane. The resultant traction resistance as a motion-state and
interaction-force dependent non-linear function. Compliments to the basic traction
resistance: resultant journal friction moment in the drive system, rolling
resistance as a result of the energy dissipation on the wheel/rail contact
area. Peripheral force transmitted by the wheel/rail rolling contact, creepage-dependent
The non-linear theories of Carter and Kalker. Linearised theories.
Generation of braking torque. Mechanics and tribology of the block-brake. The
phenomenon of thermoelastic instability. The friction functional. Mechanics
and tribology of drum- and disc-brakes. The fundamental motion process of the
vehicle in complex environment. Flow-chart of the fundamental motion process.
The "driver - vehicle" system as a "man - machine" system.
Vector of the outer controls. Stochasticity sources in the flow-chart. The
full system as a stochastic MISO. Stochastic simulation of the vehicle motion.
Simulation of the control-process by a semi-Markovian stochastic process.
transition probability matrix. Matrix-valued-function of the state-dwelling
times. Piece-wise numerical solution to the initial-value problem of the
vehicle motion by using random number generation. Simulation of the state-transitions
and state-dwelling times. Distribution function of the operation loading
Parasitic motions of vehicles, excited vibration processes. Model formation
for dynamical analyses. Generation of motion equations: synthetic and analytic
methods. Deduction of the Lagrangean equations of 2nd kind. Connections with
the variation-problems. Transfer to the state-space method. Flow chart of
a general linear time-invariant vehicle dynamical system.
The eigenvalue problem.
Natural angular frequencies and stability-reserves of the linear system.
The response of the linear vehicle dynamical system in case of excitation
System characterisation in the time-domain: the weighting function. Derivation
of the system response based on the weighting function by means of the
convolution theorem. The transition function. Derivation of the system response
on the transition function by means of the Duhamel-integral. System characterisation
in the frequency-domain: the complex frequency function. Systems with periodic
and aperiodic excitation, basic theorem of linear dynamics. Stability of
dynamical systems. Stability of the characteristic polynomial. Analysis
of the eigenvalue problem. The Routh-Hurwitz criterion The. Ljapunov function.
Stochastic excitation of a linear time-invariant vehicle dynamical SISO
Weekly stationarity in 2.order of stochastic vector-processes. Covariance-function
matrix. Spectral-density matrix. Fundamental theorem of statistical dynamics.
Determination of the variance and the distribution function of the response
process. Example of a four-axle vehicle excited by stochastic track or