Improving the Computational Model for Approximation of Particle Functions over Diameter of Dust in the Work Area and at the Border of the Sanitary Protection Zone

Abstract

This paper describes the basic ways of solving the problem of experimental data approximation. Disperse composition of crushed gypsum dust was analyzed; the analysis results are presented herein. Approximating function of particulate dust composition function is a piecewise function, defined as a three-tier spline “direct-parabola-hyperbole.” The approximation aims at finding seven function factors and two nodal points. The least square method was used to estimate the unknown parameters of regression models for the sample data. To apply this method to experimental data, a program complex calculation models for the approximation of the integral representation of the mass distribution function of particles in the dust diameter in CAS Maple was presented. It defines a function that describes the distribution of the particulate composition of the dust released from the open warehouse storage of crushed gypsum rock with the smallest error.