Abstract
Non-linear dynamic behaviour of flexible irregular shell structures was discussed recently by Chroscielewski et al. [3,4], Lubowiecka [7], and Lubowiecka and Chroscielewski [8], where references to other related papers are given. The shell evolution in time was described by two fields: the vector u of the translatory motion of the shell base surface, and the proper orthogonal tensor Q of the mean rotation of the shell cross sections. As a result, the rotation group SO(3)entered the definition of the configuration space. In such problems of structural mechanics finite-dimensional approximations, like the finite element method or the time-stepping algorithm, require non-standard approaches.
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