2013文章翻译.doc

Summary Through the analysis of the heat distribution along the edges of pans affected by different pan shapes, the article finds the reason for the overcooking of the product at the edges when using a rectangular pans. Furthermore, according to the requirements given by the problem, the authors propose the optimization model for designing the optimal baking pan. 通过沿受不同锅形状的锅的边缘的热分布的分析，使用矩形当制品发现该产品的在边缘处的过头的原因锅。此外，根据由该问题的要求，作者提出了优化模型设计最优烤盘。 The paper propose two models and one algorithm. Model one is established to investigate the heat distribution at the edges of pans in different shapes, while model two and the algorithm are used to design the ultimate pan 本文提出了两种模式，一种算法。模型中的一个成立调查在不同形状的盘的边缘的热分布，而模型2和算法均采用设计最终的锅 Model one describes the heat distribution at the edges of polygons. Based on the equation of heat conduction while taking the convection effects into account, the authors design a model that can describe the thermal conduction inside the pan. Then, given certain Neumann boundary condition, Finite-Element Analysis derives the approximate result of heat distribution, where we can find the phenomena of overcooking at the edges, which matches the practical phenomena described in the problem. Through curve fitting, the authors also find that, for polygons, the standard deviation of temperature of the edges is in inversely proportional to the square of the number of edges. 模型1描述了在多边形边缘的热量分布。根据方程热传导而采取的对流效应考虑在内，作者设计了一个模型，可以描述油锅内的热传导。然后，给予一定的Neumann边界条件，有限元分析导出的热量分布，在这里我们可以找到的近似结果过头的边缘，它匹配在所描述的实际现象的现象问题。通过曲线拟合，作者还发现，对于多边形，标准偏差边缘的温度是在成反比的边的数目的平方。 Model two can be used to find the ultimate solution of baking pan. In the analysis of this model, according to the requirements given by the problem, the author proposed two factors: area utilization rate and the degree of uneven of temperature. Then, the paper analyzed the changing speed of the two factors as the number of edges increases, adding correction factors R and weigh