Awrejcewicz, JanKurpa, LidiyaShmatko, T.2018-07-252018-07-252013Awrejcewicz J. Large amplitude free vibration of orthotropic shallow shells of complex shapes with variable thickness / J. Awrejcewicz, L. Kurpa, T. Shmatko // Latin American Journal of Solids and Structures. – 2013. – Vol. 10, № 1. – P. 149-162.https://repository.kpi.kharkov.ua/handle/KhPI-Press/37101The present formulation of the analysed problem is based on Donell’s nonlinear shallow shell theory, which adopts Kirch-hoff’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.ennonlinear dynamicsshallow shellKirchhoff's hypothesisArticle