MATHEMATICAL MODELING OF SOME FASTENERS ON THE BASIS OF R-FUNCTIONS

S.V. Choporov, S.I. Gomenyuk, A. A. Lisnyak, Y.V. Panasenko

Abstract


The functional approach is one of the most general approaches in geometrical modeling. The functional approach describes complex geometrical objects (like engines, aircrafts, etc.) using mathematical formulas. A popular method for representation geometrical object in mathematical formulas uses implicit functions. These implicit functions can be constructed using logical operations under functions called R-functions represent logical operations (negation, conjunction, disjunction, etc) under implicit functions. A fastener is a hardware device that mechanically joins or affixes two or more objects together. In the article authors propose geometrical models based on R-functions for different fasteners (some types of bolts, nuts). In the first section of the article authors describe implicit functions for representation of basic primitives (a regular polygon, a chamfer). The next section aims to obtain of 3D models of fasteners using R-functions under primitives. Some visual examples are shown in the final section.

Keywords


mathematical model, R-function, nut, bolt.

GOST Style Citations






DOI: https://doi.org/10.15588/1607-3274-2012-2-20



Copyright (c) 2014 S.V. Choporov, S.I. Gomenyuk, A. A. Lisnyak, Y.V. Panasenko

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