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Nonlinear Bifurcation and Post-buckling Analysis of Cylindrical Composite Stiffened Laminates Based on Weak Form Quadrature Element Method

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Abstract

This paper presents a weak form quadrature element formulation in the analysis of nonlinear bifurcation and post-buckling of cylindrical composite stiffened laminates subjected to transverse loads. A total Lagrangian updating scheme is used in combination with arc-length method, and the branch-switching method is adopted to identify the whole post-buckling procedure of the laminates. The formulation of the shell model and beam model are based on the basic concept of Ahmad. The coincidence of discrete nodes and integration points in quadrature element endows it with compactness and conciseness in the nonlinear buckling analysis of the cylindrical stiffened laminates. Several numerical examples are firstly presented to verify the effectiveness and accuracy of present formulation. Parametric studies on the effects of the height-to-breadth ratio, lamination schemes, positions, distribution, number of the stiffeners on the bifurcation and post-buckling behavior are performed.

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Data Availability

The datasets used and/or analyzed during the current study are available from the corresponding author on reasonable request.

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Acknowledgements

The work described in the paper was supported by the National Natural Science Foundation of China (Nos. 12202148, 12172136), the Natural Science Foundation of Guangdong Province (No. 2021A1515010279), the National Science Fund for Distinguished Young Scholar (No. 11925203), and the Science and Technology Project of Guangzhou (No. 202102020656).

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Authors and Affiliations

  1. School of Civil Engineering and Transportation, South China University of Technology, Guangzhou, Guangdong, China

    Xiang Ou, Xiaohu Yao & Run Zhang

Authors
  1. Xiang Ou
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  2. Xiaohu Yao
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  3. Run Zhang
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Contributions

XO proposed a weak form quadrature element formulation in the analysis of nonlinear bifurcation and post-buckling of cylindrical composite stiffened laminates subjected to transverse loads. XO also performed parametric studies on the effects of the height-to-breadth ratio, lamination schemes, positions, number of the stiffeners, and the lamination sequences of the cylindrical composite shell and stiffeners, boundary conditions on the bifurcation and post-buckling behavior. XY conceived of the study and participated in its design and coordination and helped to draft the manuscript. RZ participated in the design of the study. All authors read and approved the final manuscript.

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Correspondence to Xiaohu Yao.

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Ou, X., Yao, X. & Zhang, R. Nonlinear Bifurcation and Post-buckling Analysis of Cylindrical Composite Stiffened Laminates Based on Weak Form Quadrature Element Method. Acta Mech. Solida Sin. 36, 817–836 (2023). https://doi.org/10.1007/s10338-023-00424-w

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