%0 Journal Article %T Large amplitude free vibration of orthotropic shallow shells of complex shapes with variable thickness %A Awrejcewicz %A Jan %A Kurpa %A Lidiya %A Shmatko %A Tatiyana %J Latin American Journal of Solids and Structures %D 2013 %I Scientific Electronic Library Online %R 10.1590/S1679-78252013000100015 %X the present formulation of the analysed problem is based on donell's nonlinear shallow shell theory, which adopts kirchhoff's hypothesis. transverse shear deformations and rotary inertia of a shell are neglected. according to this theory, the non-linear strain-displacement relations at the shell midsurface has been proposed. the validity and reliability of the proposed approach has been illustrated and discussed, and then a few examples of either linear or non-linear dynamics of shells with variable thickness and complex shapes have been presented and discussed. %U http://www.scielo.br/scielo.php?script=sci_abstract&pid=S1679-78252013000100015&lng=en&nrm=iso&tlng=en