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Stochastic characteristics of the response of linear systems to moving stochastic sources are theoretically analyzed based on the time-convolution expression established in this paper.
Section 4 investigates pavement response under moving stochastic loads.
Contact forces applied on pavements by vehicles are moving stochastic loads.
The response of linear continuum media to moving stochastic vehicle loads is analyzed herein.
All pavement surfaces exhibit irregularities that cause vehicle vibration, which, in turn, results in moving stochastic contact forces on pavement [66].
However, the research on dynamic response of continuum media to moving stochastic vehicle loads has not yet been studied in the literature.
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We show that the random response of a linear system under a moving stationary stochastic source becomes a non-stationary process, for which the commonly used spectral analysis is not valid.
This article lays out a unified theory for dynamics of vehicle pavement interaction under moving and stochastic loads.
As such, this article provides an overview of a unified theory for dynamics of vehicle pavement interaction under moving and stochastic loads.
It covers three major aspects of the subject: pavement surface, tire pavement contact forces, and response of continuum media under moving and stochastic vehicular loads.
In other words, the response of a fixed position x + x0 in the follow-up coordinates to a moving stationary stochastic load possesses the stationary property.
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