Shock-induced stochastic dynamic analysis of cylinders made of saturated porous materials using MLPG method: considering uncertainty in mechanical properties

Abstract

The stochastic meshless local Petrov–Galerkin method is employed for dynamic analysis of cylinders made of fully saturated porous materials with considering uncertainties in the constitutive mechanical properties. The porous cylinder is assumed to be under shock loading. To approximate the trial functions in the radial point interpolation method, the radial basis functions are utilized. The Monte Carlo simulation is used to generate the random fields for mechanical properties. The results are obtained for various random variables, which are simulated by uniform, normal and lognormal probability density functions with various coefficients of variation (COV), changing from 0 to 20%. The obtained results from the presented stochastic analysis are compared to those obtained from analysis with considering deterministic mechanical properties. The results show that the uncertainty in mechanical properties has a significant effect on the structural responses, especially for big values of COVs.