Dynamic ultimate bearing capacity of beam-plate coupled structures with deformable connection under uniaxial compression, compression-bending and compression–shear loadings

Abstract

This paper presents a generalized constrained differential quadrature method to investigate the elastoplastic dynamic response and ultimate bearing capacity of beam-plate coupled structures under uniaxial compression, compression-bending and compression–shear loadings, considering the interaction between plates and beams. A beam-plate coupled structure is divided into some plate elements, considering the compatibility between contiguous plate elements using the penalty function method which can solve the problem of beam-plate deformable connection of different materials. Virtual work principle and generalized constrained differential quadrature method are used to derive the dynamic governing equations of the beam-plate in which the geometrical and material nonlinearity is considered in the paper. The iterative Newmark/Newton–Raphson method is used to solve the governing equations of the beam-plate. The verification analysis is carried out to demonstrate the accuracy of the proposed method by comparison with the results from FEM. Then, various effects of the rotational spring stiffness, width-to-thickness ratio, aspect ratio, impact time and coupling load on the elastoplastic dynamic response and ultimate bearing capacity of beam-plates are evaluated.