基于网格曲面热扩散模型的功能梯度材料建模及路径规划

    Modeling and Path Planning for Functionally Graded Materials Based on Mesh Surface Heat Diffusion Model

    • 摘要: 功能梯度材料(functionally graded materials,FGM)的复杂空间异质性使得传统建模方法难以实现其内部梯度特性的精确表征,且现有方法普遍存在与增材制造工艺兼容性不足的问题。为此,提出一种基于网格曲面热扩散模型算法的FGM建模与路径规划方法。该方法首先对三维模型进行分层处理,在每个片层中选取梯度源点,并利用网格曲面热扩散模型算法模拟材料属性在片层内的梯度分布。然后,依据计算得到的梯度场生成反映材料组分变化的标量场等值线,用于指导功能梯度材料增材制造的路径规划。以航空发动机涡轮叶片为研究对象的实验结果表明,所提方法能够实现复杂构件内部材料梯度的高精度建模与表达,同时与增材制造工艺具有良好的兼容性,为功能梯度材料的数字化设计与制造提供了一种高效可行的解决方案。

       

      Abstract: The complex spatial heterogeneity of functionally graded materials(FGM) makes it challenging for traditional modeling approaches to accurately characterize their internal gradient features, and existing methods often suffer from poor compatibility with additive manufacturing processes. To address these problems, an FGM modeling and path planning method was proposed based on a mesh surface heat diffusion model algorithm. The proposed method first performs layer-wise processing on a three-dimensional model, where gradient source points are selected within each slice. The mesh-surface heat diffusion algorithm is then employed to simulate the material property gradients within each layer. Subsequently, scalar field contour lines reflecting variations in material composition are generated from the computed gradient field to guide the path planning for FGM additive manufacturing. The experimental results using an aero-engine turbine blade as the research object demonstrate that the proposed approach can achieve high-precision modeling and representation of internal material gradients in complex components, while maintaining excellent compatibility with additive manufacturing processes. This provides an efficient and feasible solution for the digital design and manufacturing of FGM.

       

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