DEPENDENCE OF EXTERNAL FORM-FORMING LOAD FROM COORDINATES OF NODES THE DISCRETE GRID WHEN MODELING FRAMEWORKS OF URFACE

Modeling of discrete frameworks of curvilinear surfaces by the static-geometric method (SGM) under the influence of normal functionally distributed load on grid nodes can be considered as a generalization of the results of research obtained during the modeling of discrete frameworks of curves. This approach expands the possibilities of the SGM in the formation of two-dimensional discrete structures in a three-dimensional point space. In problems of modelling of discrete frameworks of surfaces SGM the necessary requirement acts the task of the two-dimensional schedule of distribution of modules of efforts which can depend on various parameters. The graph of the distribution of the external load forces between the knots of a grid can depend, on the one hand, only on the geometrical parameters of a surface, and with another - on the physical parameters which have a geometric interpretation. Physical parameters discrete image of an object are defined in the process of specifying the initial data for each specific task. When modeling SGMs of discrete frameworks of curvilinear objects under the influence of non-vertical forces of external load there is a necessity to solve nonlinear tasks. This occurs when in the system of equilibrium equations of nodes the external form-forming load is functionally dependent on the coordinates of the neighboring nodes of the star’s of the grid's. The external load forces should remain normal to the corresponding planes in the nodes of the discretely represented surface, which at the time of the calculations remains unknown. Therefore, the problems of finding the coordinates of the discrete grid nodes are solved using iterative methods.