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

Abstract

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.

Selected examples of referring the examined stochastic technical stability to the ISO standards

“…Other conditions have been described as other states (non-steady). Hence, definitions of stability, quoted in the paper (Kisilowski and Zalewski, 2016), are as follows:…”

“…, ξ n ) are vectors and ξ(t) for t 0 is a stochastic process which describes random disturbances. Any set of equations can be represented by such a system (Kisilowski and Zalewski, 2016). The function f (x, t, y) is assumed to be determined for each x ∈ E n , y ∈ E n and t 0.…”

“…in (Khasminskii, 2012;Kisilowski and Zalewski, 2016), however not related to the ISO standards. Stability was also examined for motor vehicles, e.g.…”

“…In this paper, the motor vehicle model, considered as well in (Kisilowski and Zalewski, 2016), is used as an example. It seems questionable when, under what circumstances, a vehicle after accident and repair is roadworthy.…”

“…In order to provide the realism of the analysed problem, the stochastic technical stability definition is taken into consideration, as it provides random disturbances acting on the mechanical system (here the vehicle). One of the discussed examples was previously created in (Kisilowski and Zalewski, 2016). …”