This paper is devoted to the mathematical and computer simulation of multi-parameter systems. We show that the method and algorithm can easily be used in nonlinear net 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 splines is the result of simulation. Each of the splines is the image of a section of input parameters area. Software realization is based on the single algorithm that is used repeatedly. The method have been used in investigation some technological conditions of laminating fabrics systems. Specifically, we investigated the stability of gluing joints, hardness and bending of various parts of clothes. Also, we got the simulator of constituent elements of the mixture which may be used in label products as a temperature indicator. The examples eventually demonstrate the efficiency of the presented method.

This paper is devoted to geometric simulation of parabolic stream area in planar case. The stream is characterized by fuzziness of geometric parameters that is consequence of the technological parameters fuzziness. In this paper we consider the process of welding spark flying as a physical analogue of the parabolic stream. The method relies on consideration interval sets and combinatorial computing analyses of various geometric objects in planar case. In particular, this approach is used for parabola having interval numerical parameters. Various aspects of the parabolic stream such as shadow sub-areas and dangerous zones of the stream are discussed. We break up the area of the stream into interval closed sub-areas which correspond to interval physical parameters of metal drops. We also demonstrate that the most probable dangerous parts of welding protective suit can be discovered by developed model. The practical application of the method of geometric modeling of welding sparks makes it possible to determine the localized areas of the parts of a protective suit that need additional protection in terms of improving materials and design.

A method of parametric design of technological processes has been developed based on the theory of multidimensional geometry using elements of parametrization, multidimensional computational geometry and geometric modelling. The method allows a technological process to be described by a hypersurface defined by a set of lines of one- or two-dimensional frames in a multidimensional complex plot. Its parameters are regarded as a certain set of points and lines of a space which is defined as an intersection of the frame lines by hyperplanes of a given level. The article proposes a computer implementation of the method which provides a solution to engineering problems with required accuracy. A geometric model of a thread stitching technological process has been obtained. The model allows to set a parameter range and determine the modes of obtaining compounds of a given quality in a wide range of possible solutions depending on the package of product materials, the number of process equipment parameters and process criteria.

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.

This paper is devoted to geometric simulation of heat-insulation properties of fur and down products which are considered as multi-parameter and multi-component systems. We consider predictive models of heat resistance depended on physical characteristics of fur and pelt. There is a problem of construction co-ordinate geometric models on condition that the set of experimental data is limited. We solve the problem as a problem for static multi-component systems. The model is considered as a piecewise constant function in the space of input and output parameters. The paper proposes an algorithm of construction the clusters on the set of given experimental points. Moreover, we construct multidimensional convex covering on the set of the points. The covering is based on its two-dimensional projections. Results of the investigations allow us to substantiate producer’s choice of fur and down semi-finished products and its composition for manufacturing the product of special purpose. The method suggested in the paper may be one of geometric modulus of the software HYPER-DESCENT which has been developed formerly. Our geometric models together with software HYPER- DESCENT may be applied for simulation and prediction the properties of another multi- parametrical systems or technological processes of light industry.