In this paper a general solution to the geometrically nonlinear dynamic analysis of plates stiffened by arbitrarily placed parallel\nbeams of arbitrary doubly symmetric cross-section, subjected to dynamic loading, is presented.Theplate-beamstructure is assumed\nto undergo moderate large deflections and the nonlinear analysis is carried out by retaining nonlinear terms in the kinematical\nrelations. According to the proposed model, the arbitrarily placed parallel stiffening beams are isolated fromthe plate by sections in\nthe lower outer surface of the plate, making the hypothesis that the plate and the beams can slip in all directions of the connection\nwithout separation and taking into account the arising tractions in all directions at the fictitious interfaces. These tractions are\nintegrated with respect to each half of the interface width resulting in two interface lines, along which the loading of the beams and\nthe additional loading of the plate are defined. Six boundary value problems are formulated and solved using the analog equation\nmethod (AEM), a BEM-based method. Both free and forced transverse vibrations are considered and numerical examples with\ngreat practical interest are presented demonstrating the effectiveness, wherever possible, the accuracy, and the range of applications\nof the proposed method.
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