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首页> 外文期刊>Journal of thermal stresses >Stresses in radiative annular fin under thermal loading and its inverse modeling using sine cosine algorithm (SCA)
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Stresses in radiative annular fin under thermal loading and its inverse modeling using sine cosine algorithm (SCA)

机译：热载荷下辐射环形翅片中的应力及其使用正弦余弦算法（SCA）的逆建模

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摘要

This work presents a novel mathematical model for the analysis of thermal stresses in a radiative annular fin with temperature-dependent thermal conductivity and radiative parameter. An approximate analytical solution for thermal stresses is derived using a homotopy perturbation method (HPM)-based closed-form solution of steady-state nonlinear heat transfer equation, coupled with classical elasticity theory. The effect of thermal parameters on the temperature field and the thermal stress fields are discussed. The various thermal parameters, such as a parameter describing the temperature-dependent thermal conductivity, coefficient of thermal expansion, coefficient of radiative parameter, and the variable radiative parameter, are inversely estimated for a given stress field. For inverse modeling, a population-based sine cosine algorithm (SCA) was employed to estimate the thermal parameters. The inverse modeling is verified by using the estimated thermal parameters in the closed-form solution of stress field. The reconstructed stress fields obtained from the inversely estimated parameters are then compared with the reference stress field. Results show a very good agreement between the reference stress field and the inversely estimated stress fields.
机译：这项工作提出了一个新的数学模型，用于分析具有温度相关的导热系数和辐射参数的辐射环形翅片中的热应力。结合经典弹性理论，使用基于同态摄动法（HPM）的稳态非线性传热方程的闭式解，导出了热应力的近似解析解。讨论了热参数对温度场和热应力场的影响。对于给定的应力场，反向估计各种热参数，例如描述随温度变化的导热系数的参数，热膨胀系数，辐射参数的系数和可变辐射参数。对于逆建模，采用了基于总体的正弦余弦算法（SCA）来估算热参数。通过在应力场的闭合形式解中使用估计的热参数来验证逆建模。然后将从反估计的参数获得的重建应力场与参考应力场进行比较。结果显示参考应力场与反估计应力场之间有很好的一致性。

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