Shaping Innovative Forms of Buildings Roofed with Corrugated Hyperbolic Paraboloid Sheeting

Transformed Corrugated Shell Units Used as a Material Determining Unconventional Forms of Complex Building Structures

“…Since the transverse flexural stiffness and torsional stiffness of a nominally flat thin-walled steel sheet of open profile and folded in one direction are small, then a small load applied perpendicularly to the neutral surface of the sheet causes a significant initial shape change. The loaded sheets connected by their longitudinal edges into a nominally flat single strip are spread on at least two mutually skew directrices to change their forms from flat into ruled shells, depending on the shape and the mutual position of the directrices [ 1 ] ( Figure 1 ).…”

“…Since the length of the thin-walled steel sheets is relatively small and the aforementioned geometric and structural limitations of the effectively transformed sheets are very important boundary conditions, it is impossible to obtain a single smooth shell roof of a medium span [ 1 , 2 ] ( Figure 2 ). Therefore, the complete transformed shell sectors are joined by means of their transverse edges into ribbed structures, so that the shape of each shell sector is characterized by a contraction passing through the halves of all folds at their length to optimize the initial stresses [ 3 ].…”

Transformed Shell Roof Structures as the Main Determinant in Creative Shaping Building Free Forms Sensitive to Man-Made and Natural Environments

“…Some important geometrical and mechanical restrictions of the sheet's shape transformations have to be taken into account. The basic one concerns the fact that each effectively transformed fold contracts at its half-length and is stretched at both crosswise ends [16]. Therefore, two or more complete corrugated shell sheets cannot be joined with their crosswise ends, that is perpendicular to the fold's directions, to obtain one resultant smooth shell [17].…”

Parametric Creative Design of Building Free-Forms Roofed with Transformed Shells Introducing Architect’s and Civil Engineer’s Responsible Artistic Concepts

“…The roof directrices support the shell folds at their ends transversally to the directions of the folds. The shape and mutual position of roof directrices can be adopted relatively arbitrarily, so quite diverse forms of single, thin-walled roof shell sheeting can be achieved (Figure 3) [20]. In order to obtain effective forms of all folds in the transformed shell, the fold's cross-sections are provided with free lateral deformation when assembling these folds into the shell directrices.…”