Solution of motion parameters of natural fragments based on monte carlo subdivision projection simulation

Abstract

In order to get the average windward area of natural fragments of non-metallic materials more accurately and efficiently, and to further simulate the motion parameters, a simulation calculation model of the average windward area of natural fragments is established based on the Monte Carlo subdivision projection method. By the finite element modeling, coordinate translation, random rotation, plane projection and triangulation, the average windward area of natural fragments with arbitrary irregular shape is simulated. Then, based on aerodynamics, the dispersion model of natural fragments is established. The simulation results of the two-dimensional trajectory and the farthest distance of natural fragments are obtained by Runge-Kutta method and cubic spline interpolation, which are compared with the empirical formula of the average windward area of regular fragments. The results show that the value by the Monte Carlo split projection simulation are more consistent with the experimental value, compared with the empirical formula of the windward area of spherical fragment, cube fragment, short cylinder fragment, cylinder fragment, rhombus fragment and cuboid fragment. The error of the farthest distance is between 13% and 25%. It is proved that the result of the average windward area based on Monte Carlo Subdivision Projection Simulation is more suitable for solving the dispersion model of natural fragments of low-speed and non-metallic materials.