BSU bulletin. Mathematics, Informatics
, MODELING OF PARAMETRIC RATIONAL BODIES USING GENERALIZED BEZIER INTERPOLATION // BSU bulletin. Mathematics, Informatics. - 2018. №1. . - С. 83-94.
MODELING OF PARAMETRIC RATIONAL BODIES USING GENERALIZED BEZIER INTERPOLATION
The process of manufacturing parts by single point incremental forming (SPIF) of sheet blanks can be described by a multilayer structure. Therefore, the most promising method of modeling a multilayer structure is parametric solid modeling. Parametric bodies can model both a shape and an anisotropic interior space. The article deals with the problem of constructing the equation portion of body management using generalized interpolation of Bezier. We de- scribe three types of body portions, often used as initial and boundary condi- tions in numerical simulation. Several portions can be joined together to form a complex compound body. Use of Bezier rational function to describe the body provides additional benefits in the form of its management and internal spaces. The proposed system has been implemented in the program MathCAD. Com- putational experiments show, that it is easy to define and modify the shape and position of intermediate surfaces inside the body.
parametric bodies; generalized Bezier interpolation; incremental sheet forming; multilayer structure.
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