Research objectives and content We propose to study the influence of 3-dimensional vibrations in permanent magnet-superconductor arragements, using a new built-up experimental system. An aim of this study it to proof whether and under which conditions a frequency dependence of the studied parameters is observed and whether unstable states in practical applications could appear. A first prototype of this system has already been built and some measurements for low frequency and low amplitude vibrations have been performed with quite promising results. A second objective of the project consists in the development of theoretical calculation models able to simulate numerically the previously observed behaviour, using a program based on the Finite Elements Method. Training content (objective, benefit and expected impact) The understanding of the dynamic behaviour of superconducting arrangements is very important, since it will help to improve the design of levitated devices, in which the influence of vibrations should be taken into account. The developed calculation models will constitute a valuable tool in the design and characterisation of practical magnetic bearings for high-speed rotating machines. Links with industry / industrial relevance (22) Several links with major suppliers of pre-products for High Tc exist. Namely the HOECHST AG benefits from future applications of these superconductors. Other links exist with MESSER GRIESHEIM who is a distributor for cryogenic gases as liquid hydrogen. They have a strong need for liquid hydrogen pumps with improved properties as contactless bearings based on superconductivity.