EXPERIMENTAL METHOD FOR PARAMETRISATION OF COMPLEX GEOMETRY THREE-DIMENSIONAL BODIES

摘要

FIELD: manufacturing technology.;SUBSTANCE: experimental method of parametrization of three-dimensional bodies of complex geometry refers to the branches connected with modeling of three-dimensional bodies with faces of complex geometry. Method includes the steps of manufacturing a network of elastic material and a spatial framework of flexible curvilinear elements forming a predetermined contour, fixing the frame to the base, pulling on the network skeleton from the elastic material, measuring the coordinates of the network nodes relative to the base. At the same time, a spatial framework is formed of twelve ribs representing the contour edges of a three-dimensional body with complex geometry. Three-dimensional net of elastic material is stretched onto the ribs of the frame in the form of a parametric cube with the assigned type of breakdown into cells in the form of parallelepipeds. Breakdown type is assigned either uniformly, or with a given pattern, each nodal contour point of the network being fixed to the corresponding points of the framework distributed along the length of the curved edges of the frame in accordance with the selected type of stakeout. Contour skeleton is fixed relative to the reference planes of the three bases and fixed to it by the network, the coordinates of the node points of the deformed network are measured in a three-dimensional coordinate system relative to the reference planes of the bases. Next, the radius vectors at the grid nodes are determined and the coordinate vectors and metric of node points of the deformed network of the simulated three-dimensional body are determined.;EFFECT: increased efficiency of modeling a three-dimensional body of complex geometry, improved accuracy of describing bodies with curvilinear faces, and reduced complexity of calculating the components of the metric tensor of the nodes of the grid of a three-dimensional body.;4 cl, 4 tbl, 8 dwg