OPTIMAL STRUCTURAL DESIGN OF ANNULAR PLATES COMPRESSED BY NON-CONSERVATIVE FORCES IN NON-LINEAR CREEP CONDITIONS

摘要

This paper presents a study on the influence of the physical non-linearity of material in creep conditions on the optimal shapes of annular plates subjected to a follower force radially distributed at the outer edge. The stability analysis requires first the calculation of a membrane stress distribution and then the application of the kinetic stability criterion, making use of small superposed vibrations. Both, the parametrical and variational optimisation have been considered. The results have been presented in numerous figures. It can be concluded that the destabilization phenomenon due to a non-linear creep of material has been observed and that the multimodal solutions occurred.