Journal of Theoretical
and Applied Mechanics

54, 4, pp. 1157-1167, Warsaw 2016
DOI: 10.15632/jtam-pl.54.4.1157

Analysis of the stochastic technical stability of engineering structures on example of moving car

Jerzy Kisilowski, Jarosław Zalewski
The article presents analysis of the stochastic technical stability of mathematical models (described by the second-order ordinary differential equations) of technical objects, on the example of a moving motor vehicle with the disturbed location of the center of mass, as a result of a non-uniform load. After conducting simulation of motion of a sport vehicle
mathematical model, using the MSC Adams/Car software, executing a maneuver of double lane change without completely returning to the original road lane, interpretation of the results in accordance with the given definition has been attempted. Specifically, the aspect of determining the probability of the solution remaining in a certain area of feasible solutions
has been highlighted, as well as determination of the magnitude of this probability for stable motion. In addition, attention has been paid to the selection of the upper limit of probability, for which, under certain conditions, stable motion can be determined.
Keywords: stochastic technical stability, mathematical model of motor vehicle, nonlinearity