Velykodniy S. The interpolation models and methods of complicated geometric outlines for automated design systems of form formation details

Plant of a research - automated design systems of form formation details. Research purpose - development a method and creation of interpolation models of geometric outlines circumscribed by second order curves and also solution on this basis of the important scientific and technical task - raise an exactitude form formation projection of various profiles made by systems of program reproduction of motions (SPRM). Research methods: interpolation methods, approximation methods, methods of analytical geometry and calculus mathematics for outlines modeling of the complicated space form, automated projection methods and principles, organization graphic dialogue methods and constructions of a user interface with use of MATLAB program system possibilities. Research equipment - personal computer. The theoretical and practical outcomes are realized as the developed program - methodical complex creating a basis for tools development of automated projection and an interpolation of the specific technological process, fulfilled SPRM together with CAD/CAM-systems. Scientific novelty - the handling complicated outlines interpolation method of conic sections for the first time is offered at the expense the one-criteria analysis and installation of a curve concrete aspect a most precisely reproducing the specific form a treated site, distinguished from existing by a diminution of exposition time, due to reduction of profile decomposition the on graphic primitives; analytical mathematical models representation of the generated outlines for the first time are developed which, in difference from analogs, allow to analyzes a configuration of all researched trajectory with a zero approximation error, in a structure of tolerance installed on an inaccuracy of all handling details; has received further development a shaping method of input data for the control SPRM-unit, that has allowed to reduce an frames amount of the control program and, accordingly, to reduce probability of origin reading errors. The practical value of dissertation work is confirmed by the introduction acts, namely: the work outcomes are used at preparation of the control programs for machines thermal are metal sharp and also for automation calculations parameters of the spherical and elliptic elements in LTD "Luxstroyproject" and the developed software are used in a State test center "Metrology" of a National science centre "Metrology institute", within the framework on software certification of the separate devices SPRM. The scientific and practical outcomes dissertation work can be used: in organizations and on firms engaging algorithms development of automatic interpolation for control units flexible federated systems; in automated projection branches of processes form formation of various profiles; in the educational process at preparation of the experts on automated handling projection of details, with reference to CNC-machine tools.