Statistical Dynamics and Reliability of Mechanical Systems with Kinematic, Power, and Parametric Impacts

In this paper, we consider the computational prediction problem of the reliability of mechanical systems that are in operation under irregular loads, which is relevant for modern mechanical engineering. The calculation problems include determining the functioning reliability of such systems as the probability that the parameters (linear and angular displacements, accelerations of the mass of a spring, deformations of an elastic element, etc.) do not exceed their quality. We propose a new method for choosing the optimal parameters of vibration protection systems for mobile machines and a method for calculating the critical velocity of their movement on roads with random irregularities.