Correct modeling for gaussian distributed heat source on a finite thin rod
Correct modeling for gaussian distributed heat source on a finite thin rod
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有限细棒上高斯分布热源的正确建模
DOI：
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发表时间：
2009
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通讯作者：
N. R. Roshyara
中科院分区：
文献类型：
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作者：
N. R. Roshyara
在焊接过程的计算过程中出现的主要问题之一是发展一个适当的数学模型，用于移动热源的热功率密度的分布。虽然在Pavelic于1969年首次提出了循环热源的公式（参见Fassani（J Brazilian Soc Mech Sci 25：302-305，2003））之后已经进行了广泛的研究，但是还没有人能够给出确定高斯分布空间热源的热源参数的关键科学思想。由于高斯分布的热功率密度缺乏明确的数学模型，需要开发一个准确的公式。本文提出了一种全新的概念来定义一维高斯分布热源。采用一种简单而相关的方法来阐明这一新的观点。
One of the main problems which arise during the computation of welding processes is the development of a proper mathematical model for the distribution of heat Power Density of a moving heat source. Though there has been an extensive research done following Pavelic who had proposed a formula of a Circular Source of Heat (see Fassani (J Brazilian Soc Mech Sci 25:302–305, 2003) in 1969 for the first time, no one has yet been able to give a crucial scientific idea for determining the heat source parameters of Gaussian distributed spatial heat source. Due to lack of clear mathematical modeling of Gaussian distributed heat Power Density, an accurate formula needs to be developed. In this paper, I have proposed a completely new idea to define Gaussian distributed spatial heat source for the one dimensional case. A simple and relevant method has been adopted to elucidate the new idea.