Torses with Two Curves in Intersecting Planes and with Parallel Axes

Methods for designing torse surfaces with two specified plane directrix curves in intersecting planes, which are projected onto the opposite sides of an arbitrary plane quadrilateral base, are studied and implemented. The other two sides of the base coincide with the two genertrix lines. The theoretical construction techniques are illustrated and visualized using computer graphics for four torse surfaces. Parabolas of the second and fourth orders and a hyperbola are chosen as the directrix curves. The geometric and strength studies on torse surfaces and shells that have been conducted by scientists over the past 10 years are briefly described. They show that interest in their study is not fading, but is moving towards computer modeling and comparative strength calculations using the finite element method. The directions in research of various torses, that are desirable to extend to the torse surfaces proposed for implementation, are illustrated.