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首页> 外文期刊>Journal of Materials Engineering and Performance >Spatial Modulation and Filtering of Diffusion Patterns for Inverse Analysis of Heat Deposition
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Spatial Modulation and Filtering of Diffusion Patterns for Inverse Analysis of Heat Deposition

机译：热沉积反分析的扩散模式的空间调制和滤波

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General parameterizations are constructed for spatial modulation and filtering of heat diffusion patterns according to general energy deposition characteristics occurring within a volume of material resulting from a volumetrically coupled energy source. These parameterizations include previously constructed models of energy deposition as special cases. The construction of a general parameterization of energy deposition processes is necessary for their inverse analysis. The structure of such a parameterization follows from the concepts of model and data spaces that imply the existence of an optimal parametric representation for a given class of inverse problems. Accordingly, the optimal parametric representation is determined by the characteristics of the available data, which in principle can contain both experimental measurements and numerical simulation data. Parameterizations for spatial modulation and filtering of heat diffusion follow from the observation that many different types of energy deposition processes can be represented by weighted sums of basis functions whose general forms are that of spatially modulated or filtered diffusion. A significant aspect of the parameterizations presented is that the definition of the inverse heat deposition problem, which is adopted for their construction, provides a rigorous foundation for a highly flexible and general parameterization of energy deposition processes, which is essential for their inverse analysis. A preliminary proof is presented that shows the significance of these parameterizations for the application of similarity transformations to the inverse analysis of energy deposition processes. The applicability of similarity transforms to the inverse analysis of heat deposition is another property that follows from the specific definition of the inverse heat deposition problem considered here.
机译：根据由体积耦合能量源产生的一定体积的材料内发生的一般能量沉积特性，构造用于空间调制和热扩散模式过滤的一般参数化。这些参数化包括特殊情况下先前构建的能量沉积模型。能量沉积过程的一般参数化的构造对于它们的逆分析是必需的。这种参数化的结构源于模型和数据空间的概念，这意味着对于给定类别的反问题，存在最佳参数表示形式。因此，最佳参数表示法取决于可用数据的特征，这些数据原则上可以包含实验测量值和数值模拟数据。对热扩散进行空间调制和过滤的参数化是基于以下观察结果：许多不同类型的能量沉积过程可以通过基函数的加权和表示，这些基函数的一般形式为空间调制或滤波的扩散形式。所提出的参数化的一个重要方面是，逆热沉积问题的定义（其构造被采用）为能量沉积过程的高度灵活和通用的参数化提供了严格的基础，这对于它们的逆分析至关重要。初步证据表明，这些参数化对于将相似变换应用于能量沉积过程逆分析的重要性。相似性变换对热量沉积逆分析的适用性是从此处考虑的反向热量沉积问题的具体定义得出的另一个特性。

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