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

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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.

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Authors and Affiliations

  1. School of Mechatronics Engineering, Harbin Institute of Technology, Harbin, China

    Chen Wang & Rongqiang Liu

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  1. Chen Wang
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  2. Rongqiang Liu
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Correspondence to Chen Wang.

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Wang, C., Liu, R. Dynamic ultimate bearing capacity of beam-plate coupled structures with deformable connection under uniaxial compression, compression-bending and compression–shear loadings. Arch Appl Mech 91, 3053–3073 (2021). https://doi.org/10.1007/s00419-021-01949-7

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  • DOI: https://doi.org/10.1007/s00419-021-01949-7

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