ANALYTICAL IDENTIFICATION OF ENGINEERING OBJECTS FOR THE IMPLEMENTATION OF THE TECHNOLOGY OF 3D
Alexander SHMATKO Y.S.Litvinova
AbstractThe 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..