The application discloses a kind of discrete developable
surface construction and optimization method,
system, equipment and medium, the method includes: obtaining
quadrilateral grid;According to
quadrilateral grid, parallel
quadrilateral cell in chessboard distribution is constructed inside
quadrilateral grid, and establish developable surface geometric model;The constraint of developable surface geometric model includes: having the constraint of chessboard pattern with embedded parallel quadrilateral, equiangular constraint, shape similarity constraint and equidistance constraint;Developable surface geometric model is solved, and discrete developable surface with congruent parallel quadrilateral is obtained;The geometric feature of the discrete developable surface is encoded into uniform plane unit, so that each surface sheet can be processed and formed using the same
machining parameter or the same mold set.The application significantly reduces the number of molds and manufacturing complexity, and improves the feasibility of
engineering implementation.The application integrates the chessboard pattern construction, equiangular and equidistance geometric constraints and
engineering solving process into the same technical
system, realizes the complete
engineering process from
quadrilateral grid to discrete developable surface.The application is suitable for being applied to building curved
surface structure and
curtain wall unit design, deployable shell and foldable structure modeling, sheet bending and sheet
metal forming design, engineering shell and cladding structure design, and
assembly type structure manufacturing based on
plane sheet, etc.