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改进扩展等几何层合板孔洞边界强加Dirichlet约束
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An Enhanced XIGA with Imposition of Dirichlet Constraint for Laminate Holes Boundary
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    为解决扩展等几何分析无法在三维层合板孔洞边界上直接强加Dirichlet约束条件,提出一种改进扩展等几何分析方法.改进扩展等几何分析方法是将扩展等几何分析与B++样条元法相结合来处理三维含孔层合板问题,孔洞剪裁单元相关的控制点转化成剪裁边界上的配点,这些配点满足Kronecker符号性质,从而便于在孔洞剪裁边界上直接强加约束条件.利用当前提出方法分析三明治平板和帽型梁层合板等算例,结果表明:改进扩展等几何分析方法计算的位移和应力等结果与有限元结果基本一致,并且该结果与实验方法获得的结果基本吻合.通过分析上述数值算例说明了改进扩展等几何分析方法处理三维含孔层合板问题的准确性和有效性.

    Abstract:

    To solve the difficulty that the Dirichlet constraint condition cannot be imposed directly for the extended isogeometric analysis (XIGA) on the boundaries of 3-D laminates with the holes, an enhanced XIGA was proposed. The enhanced XIGA is the combination of the XIGA and the B++ splines method to deal with the 3-D laminate holes. The control points related to the holes trimmed elements are converted into the collocation points on the hole’s boundaries. The Kronecker delta property is satisfied for these collocation points, which facilitates the direct imposition of constraints on the trimmed boundaries with holes. The proposed method is adopted to analyze the examples of the sandwich plate and hat beam laminate plate, and the result shows that the displacement and stress results calculated by the enhanced XIGA are consistent with those obtained by the FEM.The results coincide with the results obtained by the experimental method. With the above numerical examples, the accuracy and effectiveness of the enhanced XIGA to deal with the problems of 3-D laminates with holes are illustrated.

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姜凯 ,侯文彬 ?.改进扩展等几何层合板孔洞边界强加Dirichlet约束[J].湖南大学学报:自然科学版,2023,(4):97~104

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  • 在线发布日期: 2023-05-04
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