Numerische Verfahren zur dynamischen Boden-Bauwerk Interaktion

Soil dynamics with experimental, analytical and numerical methods are subject of research activities at the Geotechnical Institute of the TU Berlin during the past fifty years. In review to the research at the Institute, the activities of Prof. H. Lorenz in the 50s and 60s prepares the basics for many following scientific works. While in the past analytical methods to describe the soil as a halfspace are applied, today numerical methods are introduced, which are much more flexible in modelling the soil as a layered or halfspace media. These developments accompanied the fast growth of modern computers. Today, problems that seemed to be unsolved before, can now be solved with acceptable efforts by numerical procedures. The developments in numerical methods followed closely those in computer science. In the present publication numerical methods are presented for solving two- and threedimensional boundary value problems. For the isotropic and layered half-space analytical and numerical procedures are developed in order to treat problems of soil dynamics and of dynamic soil-structure interaction. Structures can be placed at the surface or in the interior of the soil by considering also their stiffness and interia properties. Half-space Green's functions are developed by analytical means to be used in connection with discrete models for the behaviour of ridig and elastic plates. Using these solutions a variety of surface foundation systems with one or more foundations can be treated for a wide frequency range by considering also dynamic coupling effects between them. Depending on the problem, the corresponding numerical methods are formulated as finite or boundary integral procedures. The solutions presented may find application in a variety of dynamic analyses, e.g. vibrations due to pile driving, earthquakes, machine foundations etc, by considering the full interaction between the structure and the surrounding soil. (orig.)SIGLEAvailable from TIB Hannover: RN 5669(22) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDEGerman