Анализ систем измерения для построения геометрических моделей изделия

Abstract

In the present work, on the basis of the analysis of existing systems of measurement for geometrical modeling, their components are defined. The system of measurement for geometrical modeling consists of three mutually perpendicular planes H-П1, F-П2, P-П3 and connected with them right three-dimensional system of coordinates OXYZ. The major features of such system related to ways of formation of the two-dimensional complex drawing of a geometrical image on the basis of laws of projective connections are revealed. As the first feature of systems of measurement for geometrical modeling it is possible to allocate a way of orientation (binding) of the right three-dimensional system of co-ordinates OXYZ concerning the set planes of projections H-П1, F-П2, P-П3. The second feature of systems of measurement for geometrical modeling is the way of conditional division of space on a part (semi spaces, quadrants, and octants). The third feature of systems of measurement for geometrical modeling is the way of numbering of the allocated parts of space (semi spaces, quadrants, and octants). Interrelations of elements of different systems of measurement with different projections of a geometrical image are defined. The relative location of projections of a geometrical image into the constructed two-dimensional complex drawings for various systems of measurement is determined. For the American system of measurement in the two-dimensional complex drawing of a geometrical image the horizontal projection is located above a frontal projection, and the profile projection is located to the right of a frontal projection. For the European system of measurement in the two-dimensional complex drawing of a geometrical image the horizontal projection is located below a frontal projection, and the profile projection is located to the right of a frontal projection. The logic behind a particular arrangement of views in the projective drawing of a product in the analyzed systems of measurement is explained. For the realized way of construction of the complex drawing in the American system of measurement the horizontal projection is the bottom view, and the profile projection is the left-side view. For the realized way of construction of the complex drawing in the European system of measurement the horizontal projection is the top view, and the profile projection is the left-side view.