基于等几何分析的薄壁结构CAD/CAE一体化方法

A CAD/CAE INTEGRATION METHOD FOR THIN-WALLED STRUCTURES BASED ON ISOGEOMETRIC ANALYSIS

  • 摘要: 基于CAD裁剪曲面的等几何薄壳分析正逐步发展为兼具精度与效率的先进分析方法,但在参数化单元属性界定环节,现有投影法在特定几何特征下的鲁棒性仍面临严峻挑战,如在邻接点邻近区域易产生数值不稳定性,以及对含拐点或尖角的复杂曲线难以保证判定精度。针对上述问题,该文构建了面向STEP标准文件格式的集成化计算框架,实现复杂多片裁剪结构的CAD/CAE无缝融合。提取并处理裁剪、多片耦合信息;采用自适应细分方法对单元进行预处理;针对单元属性判断,提出了一种结合投影法和射线法判断的界定策略,对于简单闭合曲线保留投影法的高效特性,而对多曲线拼接的复杂环域引入射线法进行判断,形成具有几何自适应的混合判定策略,实现高效的单元界定和划分。采用一系列数值算例验证了该框架的可行性和适用性。

     

    Abstract: The isogeometric thin-shell analysis based on CAD trimmed surfaces is progressively developing into an advanced analysis method that integrates high accuracy and computational efficiency. During the parameterized element attribute definition stage, the existing projection method still encounters significant robustness challenges under specific geometric features, such as numerical instability near adjacent points and difficulties in ensuring judgment accuracy for complex curves with inflection points or sharp corners. To address these issues, this paper proposes an integrated computational framework tailored to the STEP standard file format, enabling seamless CAD/CAE integration for complex multi-patch trimmed structures. The framework extracts and processes trimming and multi-patch coupling information. It employs an adaptive subdivision method for element preprocessing. For element attribute judgment, a novel boundary determination strategy integrating the projection method with the ray-casting method is proposed. The projection method retains its high efficiency for simple closed curves, while the ray-casting method is employed for complex ring domains formed by multiple curve splices. This forms a geometrically adaptive hybrid judgment strategy to achieve efficient element definition and partitioning. A series of numerical examples are utilized to validate the feasibility and applicability of this framework.

     

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