Structural analysis of the trajectories of random processes formed in non-linear vibration isolation systems
Authors: Gusev A.S., Zinchenko L.V., Starodubtseva S.A.
Published in issue: #9(117)/2021
DOI: 10.18698/2308-6033-2021-9-2108
Category: Mechanics | Chapter: Dynamics, Strength of Machines, Instruments, and Equipment
When designing technical structures, the safety of their elements is a fundamental principle. This highlights the significance of the proposed solution to the structural analysis of the trajectories of non-Gaussian stationary processes. The solution aims to acquire source data for calculating the stress-strength reliability of structural elements operating under random loads. We analyze an approach that makes it possible to account for the statistical dependence between processes and their derivatives, despite the apparent lack of correlation between them. The considered approach can be utilized in the design of vibration protection of transport vehicles to calculate the probability of a shock absorber breakdown, the probability of loss of the road-wheel contact, etc. The operation reliability of such systems is defined as the probability that the absolute maximum of the process does not exceed the specified standard level during a certain time interval. The article presents the reliability calculation using structural analysis on the example of a one-dimensional stochastic system.
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