Empirical frame hyper-surfaces as models of multi-parametrical technological systems

Abstract

This paper is devoted to the mathematical and computer simulation of multi-parameter technological systems. The method and algorithm can easily be used in spline-frame simulation of the systems. Simulation is based on experimental data and achieved by the variation of one-dimensional spline approximations. A set of variable one-dimensional cubic spline-frames generate the model of hyper-surface, which is a model of the process. Each of the spline-frames is the image of a section of input parameters area. Software realization is based on the single algorithm that is used repeatedly. The problem of building some model of hyper-surface is based on empirical irregular 0-dimensional frame. We consider the problem as an inverse problem of modeling. The method has been used in investigation some technological conditions of thread seams for sewing industry. We investigated the durability and harshness of the seam. Geometric models and parameter valuations were generated by special software. The equations and diagrams described our experiments with sufficient exactness and there were used for researching the process. The model together with software HYPER-DESCENT may be applied for simulation multi-parametrical systems or technological processes of light industry.