Kinematics analysis of the of hemispherical shells formation on a specialized stretch-tight press

The article analyzes the kinematics of the aluminum sheets shaping by the method of simulation modeling, which, initially flat, deform in space, taking on the surfaces of the segments of the hemisphere shell. Such surfaces are considered as geometric forms of independent space, that is, two-dimensional geometries corresponding to these spaces can be very successful in their construction, considering surfaces as a space in itself. Therefore, the transition from three-dimensional geometry to two-dimensional geometry turned out to be more convenient for determining the trajectories of each point on the initial flat surface to the corresponding final position in the required shell, which is reflected in space during the formation of hemispherical shells. Such a trajectory of a point and its final position, together with the trajectories and final positions of other points in the required shell, constitute a shaping deformation, which can ensure that a shell with a uniform thickness is obtained over all geodesic forming surfaces of the shell of a given geometric shape at the end of the shaping process. The article describes the results of shaping in the modeling of segments-part hemispheres made of aluminum sheets of AMg6 alloy with a thickness of 4,5 mm on a specialized stretch-tight press.