Dynamic Stochastic Analysis of Radial Displacement in Functionally Graded Thick Hollow Cylinder Using Hybrid Numerical Method and Monte Carlo Simulation

摘要

In this article, the dynamic responses of functionally graded thick hollow cylinders are studied from stochastic view using Monte Carlo method. The FG cylinder is subjected to mechanical shock loads applied to inner surface of cylinder. The FG cylinder is assumed to be in plane strain conditions and axisymmetry conditions. To obtain the radial displacement in each point, the Navier equation in displacement form is derived using isotropic elements. To solve the problem, the combined numerical method is used (Galerkin finite element and Newmark finite difference methods). The maximum, mean and minimum values of radial displacement also variance of variation in radial displacement are calculated in various points across thickness for different values of volume fraction exponent (in mechanical properties function of FG cylinder).