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The thesis is devoted to development of methods for three-dimensional geometric objects modeling
and implementation of the constructed equations of machine-building parts and building structures on
a 3D-printer.
Developed using R-functions algorithms for phased construction of mathematical models of
engineering objects, including: oil filter bracket, bushings car suspension, spur gear.
The method of constructing equations of geometric objects with translational and cyclic symmetry in
3D, which was used to build equations of engineering objects. Developed a method of constructing
equations herringbone surfaces using the theory of R-functions, which was used to create
mathematical models of the herringbone bearing. Developed a method of constructing equations of
building structures by using the theory of R-functions. The reliability of the obtained results, the
adequacy of the designed objects is confirmed by the visualization in terms of the operation of the
program RFPreview and implementation on a 3D printer. Analytical record of designed objects gives
you the ability to use the alphabetic geometrical parameters, complex superposition of functions,
which in turn allows you to quickly change design elements..
International Congress on 3D Printing (Additive Manufacturing) Technologies and Digital Industry
3D-PTC2019
Alexander SHMATKO
Y.S.Litvinova