A mathematical model of the vibrating system equivalent to the vehicle in the mode of emergency braking

A mathematical model of the vibrating system equivalent to the vehicle in the mode of emergency braking is developed and the solution is offered. The problem associated with the comparison of the vibrations of the braking vehicle with the oscillations of a uniformly translating vehicle is considered. On the basis of the analysis of the available research data some assumptions and constraints are introduced, allowing the vibrating system equivalent to the condition of the vehicle in the mode of emergency braking to be developed. The system obtained differs from the data found in the theory of the vehicle in the description of the applied tangential forces caused by the force of inertia applied to the center of gravity. Based on the equivalent system developed, the differential equations describing the displacements of masses of the above system are derived and solved

Investigation of potential deformations developed by elements of transport and pedestrian traffic restricting gates during motor vehicle–gate interaction

The mathematical model of transport and pedestrian traffic restricting gate is designed. One section of the gate restricted the traffic of motor vehicles while the other limited the traffic of pedestrians. The gate was modelled based on the first-order one-dimensional finite elements taking into account only the resilience of the gate elements and the impact of soil on the ground-embedded parts of the gate support and auxiliary posts. The potential deformations of gate elements were determined based on the mathematical model designed. The specific traffic event was investigated using the mathematical model of gate designed – four situations of motor vehicle–gate interaction were simulated and investigated

Determination of car run up – braking and manoeuvring parameters in an emergency situation in the case of limited road segment

As the traffic intensity on roads increases, the number of road accidents also increases and the situations become more and more complicated. The presented method of reconstruction of preaccidental situations with the purpose of examination of road accident mechanisms can be widely used for the investigation of road accidents of different nature and for the determination of their reasons, the distance run by a car, the time of its run and speed which can be reached during the run up and followed by braking in road segments between two manoeuvres in a road segment of limited length. This method is being widely used in Lithuania for the investigation of accidental situations and for the assurance of law and order

Comparative research of a motor car motion in the case of the loss of contact with the road surface

The paper describes the car motion when the contact between its wheels and the road surface is lost. A simulation of such car motion was carried out using a mathematical package "Maple 6" for the two cases: 1) The car flies off a horizontal surface; 2) The car runs over a springboard. The dependencies of the main parameters of motion (velocity and distance) upon the height of the horizontal road step or upon the springboard height and its inclination angle (in the second case) were found. The work presents the graphs of these motion parameters and evaluates the influence of air resistance in both cases