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INVERSE DESIGN OF A THREE DIMENSIONAL FURNACE WITH MOVING DESIGN ENVIRONMENT

机译:具有移动设计环境的三维炉的逆设计

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摘要

The inverse design of a three-dimensional furnace that is built to heat an object moving along a conveyor belt of an assembly line is considered. A furnace of this type can be used by the manufacturing industry for applications such as curing of paint, annealing or manufacturing through chemical deposition. The object that is to be heated moves along the furnace as it is heated following a specified temperature history while the spatial temperature distribution is kept isothermal through the whole process. The temperature distribution of the heaters of the furnace should be changed as the object moves so that the specified temperature history can be satisfied. The design problem is a transient design problem where a series of inverse solutions is utilized. The process furnace considered is in the shape of a rectangular tunnel where the heaters are located at top and the design object moves at the bottom. The inverse formulation of such a system is advantageous over a traditional trial-and-error solution where an iterative solution is required for every position as the object moves. The inverse formulation of the design problem involves ill-posed Fredholm equation of the first kind and the use of a regularized solver rather than an ordinary one such as Gauss-Seidel or Gauss elimination is essential. The radiative transfer is formulated utilizing the Monte Carlo method that enables including further realistic characteristics like specularly reflecting walls.
机译:考虑了三维加热炉的逆向设计,该加热炉用于加热沿装配线输送带移动的物体。这种类型的炉可以被制造工业用于诸如涂料的固化,退火或通过化学沉积制造的应用。遵循特定温度历史的加热对象将沿着加热炉移动,同时整个过程中空间温度分布保持等温。随物体移动,应改变炉子加热器的温度分布,以便可以满足规定的温度历史记录。设计问题是一个瞬态设计问题,其中使用了一系列逆解。所考虑的工艺炉为矩形隧道形状,其中加热器位于顶部,设计对象位于底部。这种系统的逆公式化优于传统的试错法,在传统的试错法中,随着对象的移动,每个位置都需要迭代解法。设计问题的逆公式涉及第一类不适定的Fredholm方程,必须使用正则化求解器而不是普通的求解器,例如Gauss-Seidel或Gauss消除法。辐射传递是使用蒙特卡洛方法制定的,该方法可以包括镜面反射墙等其他现实特征。

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