| Citation: | WANG Z X，WAN Z Q，WANG X Z，et al. Fast stability analysis method for composite panel with variable angle tow fiber[J]. Journal of Beijing University of Aeronautics and Astronautics，2023，49（2）：353-366 （in Chinese） doi: 10.13700/j.bh.1001-5965.2021.0259
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Benefiting from the curved fibre paths, variable-angle-tow (VAT) fibre composites feature a larger design space than traditional straight-fibre reinforced plastics. VAT fiber composite has better in-plane stability than the straight fiber, hence it has a higher buckling resistance potential at the same weight as a wing panel. To deeply analyze the influence law of fiber path on the stability of VAT fiber composite, the stability analysis method of curved fiber siding under in-plane load is derived, based on the theory of isotropic thin plate. By introducing the Airy stress function and the Lagrange multiplier which describes the arbitrary boundary conditions, a single variational equation suitable for arbitrary displacement and load boundary conditions of VAT fiber composite is established, which avoids the restriction on the solution speed by repeated iterations between nonlinear equilibrium equations and nonlinear compatibility equations. Based on the Von Karman large deformation equation, a solution model for linear and geometry nonlinear stability problem in the post-buckling state is derived, and then approached by Rayleigh-Ritz method. The accuracy of the established fast tool is the same as that of the commercial software MSC.Nastran, but the solution time is highly reduced. Thanks to this advantage, the buckling and nonlinear performance of VAT panel under arbitrary displacement boundary conditions can be quickly captured, and the influence law of fiber path on buckling and post-buckling of a VAT panel is effectively summarized.
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