Form-finding of shell and membrane structures

This paper deals with the form-finding process of building constructions, such as membrane, shell or cable structures. This task is an essential step in the design process of membrane or cable structures, while for shell or beam structures, it is an optional case how to prefer the axial behavior of the intended construction. As a result of the form-finding process for structures acting exclusively in tension or compression, one unique shape in equilibrium is calculated for such a requirement. In the case of combined structures, cases with more than one solution for the same form-finding definition may occur. If the form-finding process is defined as a continuum mechanics process of the energy extreme calculation, the resulting shapes can reach both stable and unstable equilibrium positions. This contribution will focus on the general behavior of the process mentioned above, particular statements will be accompanied by examples