Dynamische Stabwerkmodelle - Ein grafisches Verfahren zur Analyse dynamischer Prozesse am Beispiel eines unterspannten Bogens

Dynamic strut-and-tie models - a graphical method to analyse dynamic processes using the exemple of an arc with a tension cable

The idea to analyse processes of movement by means of dynamic strut-and-tie models is based on the vectorial force flow analysis of static problems but expands its application to complete dynamic processes. A strut-and-tie model is a vectorial analysis of layouts and polygons of forces carried out graphically for each knot of a system. If the layout of the polygon of forces is closed, the knot analysed is in static equilibrium. If the polygon of forces is not closed, the knot will be accelerated by the resulting force depending on its mass.
Analysing dynamic processes in building design does not only play an important role in case of human-made vibrations or structural vibrations caused by earthquakes or wind. In addition to the usual problems a dynamic analysis may be carried out if the whole construction or individual components of the structure lose stability. If that happens, the internal forces of the structure come into a flow and the whole system or parts of it can possibly become kinematic. The following movement keeps going until the structure comes into a new static equilibrium with a new geometry.