Shape Transformations of Plane Folded Sheets for Shell Roofing

The major purpose of the paper is to point out that big shape transformations of nominally flat, thin-walled folded sheets having open profiles are possible. Principal boundary conditions can be defined for the transformed sheets, by means of the number, position and curvature of roof directrices, including intermediate members. The present research results indicate the necessity to perform further research in a much wider scope, i.e. experimental research, theoretical analyses, numerical models configured appropriately for diversified shapes of various profiles. The research should also aim at optimizing shape transformations, strength, stability, support, and stiffness of the shell as well as co-operation of shell folds in a roof. These results are systematically included in the innovative method of shaping of free forms and constructions of roofs and entire buildings. However, the method is not involved in the submitted paper. (paper)