金属加热的数学模型与控制
The Mathematical Model and Control of Metal Heating Process
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摘要: 本文以温度四次方关系为辐射传热的边界条件,对传统的热传导方程进行简化与线性化, 提出了动态边界的传热方程,建立了金属加热过程的动态数学模型.通过大量试验,证实了该 模型的可行性,并用电子计算机对各种钢锭加热过程实现了自动控制.Abstract: In this paper, the forth order relation of the temperature is considered as the boundary condition of the heat-transfer, and the traditional equation of the heat conduction is simplified and linearized, then, the equation of the heat-transfer with the dynamical boundary is formulated. Based on this the mathematical model of metal heating process is established. Through a lot of tests, the feasibility of this model is proved, and the automatic control of the heating process of the steel bars is realized by a computer.
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