Extended tolerance modelling of dynamic problems for thin uniperiodic cylindrical shells

Abstract Dynamic problems of thin linearly elastic Kirchhoff–Love-type circular cylindrical shells having geometrical, and inertial properties densely periodically varying in circumferential direction ( uniperiodic ) are studied. In order to take into account the effect a cell size on global dynamic behaviour such length-scale ), new mathematical averaged non-asymptotic model is formulated. This so-called general tolerance derived by applying certain extended version well-known modelling technique . Governing equations this have constant coefficients depending also microstructure size, contrary starting exact shell with periodic, non-continuous highly oscillating (the governing linear Kirchhoff–Love theory shells). The transversal free vibrations an strip It will be shown that within not only fundamental cell-independent, but additional cell-dependent vibration frequencies can analysed. obtained results compared corresponding from known standard asymptotic one