Large Deflection Analysis of Plates Stiffened by Parallel Beams with Deformable Connection

AbstractIn this paper a general solution to the geometrically nonlinear analysis of plates stiffened by arbitrarily placed parallel beams of arbitrary monosymmetric cross sections with a deformable connection subjected to arbitrary loading is presented. The plate-beam structure is assumed to undergo moderate large deflections and the nonlinear analysis is carried out by retaining the nonlinear terms in the kinematical relationships. According to the proposed model, the stiffening beams are isolated from the plate by sections in the lower outer surface of the plate under the hypothesis that the plate and the beams can slip in all directions of the connection without separation, while the arising tractions in all directions at the fictitious interfaces are taken into account. These tractions are integrated with respect to each half of the interface width, yielding two interface lines along which the loading of the beams as well as the additional loading of the plate are defined. Their unknown distribution i...