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首页> 外文期刊>Journal of thermal stresses >Study on heat conduction of functionally graded plate with the variable gradient parameters under the H(t) heat source
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Study on heat conduction of functionally graded plate with the variable gradient parameters under the H(t) heat source

机译：H（t）热源下可变梯度参数的功能分级板的热传导研究

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摘要

A hybrid numerical method for heat conduction of functionally graded plate with the variable gradient parameters under the H(t) heat source was studied. A weighted residual equation of heat conduction was considered under thermal boundary conditions. In order to calculate temperature distribution of functionally graded plate with variable gradient parameters, the Fourier transform and inverse Fourier transform were applied and the temperature field was obtained under the H(t) heat source. Results show that the influences of the gradient parameters on temperature distribution are dramatic. But with the increase of gradient parameters, the influences of parameters on the temperature distribution are gradually reduced. When the gradient parameters reach a certain critical value, the temperature does not change anymore. By comparing the temperature distribution of the upper and lower surfaces, it is seen that the temperature presents a gentle downward trend with the increase of the heat source distance, while the temperature does not change with the time in farther distance from heat source. Also, the results show that the influence of the heat source has only partial and limited influence on the temperature, which is in accordance with St. Venant's Principle. The law of the temperature distribution of the lower surface varies with the gradient parameters, which is also discussed, an optimal gradient parameter with the thermal insulation effect of the functionally graded plate is obtained.
机译：研究了H（T）热源下的可变梯度参数的功能渐变板的热传导混合数值方法。在热边界条件下考虑了热传导的加权残余方程。为了计算具有可变梯度参数的功能渐变板的温度分布，施加傅里叶变换和逆傅里叶变换，在H（t）热源下获得温度场。结果表明，梯度参数对温度分布的影响是显着的。但随着梯度参数的增加，参数对温度分布的影响逐渐降低。当梯度参数达到某个临界值时，温度不再更改。通过比较上表面和下表面的温度分布，可以看出温度随着热源距离的增加而呈现温和的向下趋势，而温度不会随着距热源进一步距离而变化。此外，结果表明，热源的影响仅对温度有限，符合圣文鱼原理的影响。下表面的温度分布规律随着梯度参数而变化，也讨论了具有功能梯度板的热绝缘效果的最佳梯度参数。

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