Dynamic response of micro-periodic composite rods with uncertain parameters under moving random load

In this paper, axial vibrations of a finite micro-periodic composite rod with uncertain parameters under a moving random load are investigated. The solution of the problem was found by using the random dynamic influence function and applying the perturbation method. The average tolerance approach was also used to pass from differential equations with periodic coefficients to differential equations with constant coefficients. Two types of the moving random load are considered: a normal stationary or non-stationary process, the continuous load model (CLM), and a random train of moving forces, the discrete load model (DLM). Finally, a numerical example is provided to demonstrate the algorithm in the context of a computer implementation. With slight modification, the algorithm for longitudinal vibrations of a rod could also be applied to the dynamics of periodic beams, plates and shells with random parameters subjected to stochastic moving loads.