In this paper, we propose a stochastic model to describe over time the evolution of stress in a bolted mechanical structure depending on different thicknesses of a joint elastic piece. First, the studied structure and the experiment numerical simulation are presented. Next, we validate statistically our proposed stochastic model, and we use the maximum likelihood estimation method based on Euler–Maruyama scheme to estimate the parameters of this model. Thereafter, we use the estimated model to compare the stresses, the peak times, and extinction times for different thicknesses of the elastic piece. Some numerical simulations are carried out to illustrate different results.

This paper aims to establish a metamodel for predicting the mechanical behavior of bolted structures with elastic parts, regardless the changes in input parameters from a set of simulation data. First, we collect information from a parametric analysis based on numerical finite element simulation tests. Then, the metamodel is built using the radial spline basis function method. Following that, an iterative fitting process based on the metamodel-simulation coupling is used to improve the model’s fidelity. Finally, the metamodel is validated by comparing and analysing the error rate between the metamodel and the simulation in order to reduce the computation time towards 2 seconds.

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