基于遗传算法的热防护服厚度反问题的数值分析
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摘要
合理地设计热防护服厚度可以降低烧伤危险、提高舒适性,是热防护服研发的重要问题.除防护服常用的三层织物外,将皮肤与第三层织物之间的空隙层看作第四层,将人体皮肤层到体内作为第五层,基于Fourier定律建立了一维有限长五层热传导模型.然后根据人体皮肤表面的温度要求提出了热防护服厚度反问题,并随着不同的要求做相应调整.一方面,利用有限差分法实现了模型的数值求解;另一方面,基于遗传算法求解反问题,确定了第五层的各项热学参数,同时求出满足要求的热防护服最优厚度,结果验证了算法的有效性和反问题的合理性.
Reasonable design of thermal protective clothing's thickness can reduce the risk of burns and increase the comfortability, which can provide a scientific reference for the research of thermal protective clothing. In addition to the three-layer fabric commonly used in protective clothing, the void layer between the skin and the third layer fabric is regarded as the fourth layer, and the human skin layer into the body as the fifth layer. Based on Fourier law, a one-dimensional five-layer heat conduction model is established firstly. Then the inverse problem of thermal protective clothing's thickness is proposed and the corresponding adjustment is made according to the temperature requirements of human skin surface. On the one hand, the numerical solutions of the model are obtained by the finite difference method. On the other hand, the genetic algorithm is applied to solve the inverse problem, which can determine the thermal parameters of the fifth layer and the optimal thickness of thermal protective clothing to satisfy the requirements. Meanwhile the validity of the algorithm and the rationality of the inverse problem are verified.
Reasonable design of thermal protective clothing's thickness can reduce the risk of burns and increase the comfortability, which can provide a scientific reference for the research of thermal protective clothing. In addition to the three-layer fabric commonly used in protective clothing, the void layer between the skin and the third layer fabric is regarded as the fourth layer, and the human skin layer into the body as the fifth layer. Based on Fourier law, a one-dimensional five-layer heat conduction model is established firstly. Then the inverse problem of thermal protective clothing's thickness is proposed and the corresponding adjustment is made according to the temperature requirements of human skin surface. On the one hand, the numerical solutions of the model are obtained by the finite difference method. On the other hand, the genetic algorithm is applied to solve the inverse problem, which can determine the thermal parameters of the fifth layer and the optimal thickness of thermal protective clothing to satisfy the requirements. Meanwhile the validity of the algorithm and the rationality of the inverse problem are verified.
引文
[1] 潘斌.热防护服装传递数学建模及参数决定反问题[D].浙江:浙江理工大学,2017.PAN Bin.Mathematical modeling of thermal protective clothing transmission and inverse problem of parameter determination [D].Zhejiang:Zhejiang University of Science and Technology,2017.(in Chinese)
[2] 卢琳珍,徐定华,徐映红.应用三层热防护服热传递改进模型的皮肤烧伤度预测[J].纺织学报,2018,39(1):111-118,125.LU Linzhen,XU Dinghua,XU Yinghong.Prediction of skin burn degree using an improved model of heat transfer in three-layer thermal protective clothing [J].Acta Texturae Sinica,2008,39(1):111-118,125.(in Chinese)
[3] 余跃.纺织材料热湿传递数学建模及其设计反问题[D].浙江:浙江理工大学,2016.YU Yue.Mathematical modeling and design inverse problem of heat and moisture transfer of textile materials [D].Zhejiang:Zhejiang University of Science and Technology,2016.(in Chinese)
[4] 2018全国大学生数学建模竞赛赛题[EB/OL].http://www.mcm.edu.cn.Topics of 2018 Contemporary Undergraduate Mathematical Contest in Modeling [EB/OL].http://www.mcm.edu.cn.(in Chinese)
[5] 潘启天,徐映红,徐定华.基于热湿耦合模型的三层多孔织物厚度决定反问题[J].浙江理工大学学报(自然科学版),2017,37(6):771-777.PAN Qitian,XU Yinghong,XU Yinghong.Inverse problem of thickness determination of three-layer porous fabric based on heat and moisture coupling model[J].Journal of Zhejiang University of Science and Technology (Natural Science Edition),2017,37(6):771-777.(in Chinese)
[6] 徐定华,葛美宝,陈瑞林.基于服装舒适性的纺织材料设计反问题[J].应用数学与计算数学学报,2012,26(3):332-341.XU Dinghua,GE Meibao,CHEN Ruilin.Inverse problem of textile material design based on clothing comfort [J].Journal of Applied Mathematics and Computational Mathematics,2012,26(3):332-341.(in Chinese)
[7] 张凤禄.传热的有限差分方程计算[M].北京:冶金工业出版社,1982:1-3.ZHANG Fenglu.Calculation of finite difference equation for heat transfer [M].Beijing:Metallurgical Industry Press,1982:1-3.(in Chinese)
[8] 唐元升.人体医学参数与概念[M].济南:济南出版社.1995.TANG Yuansheng.Human medical parameters and concepts [M].Jinan:Jinan Press,1995.(in Chinese)
[9] 郁磊.MATLAB 智能算法30个案例分析[M].北京:北京航空航天大学出版社,2015.1-16.YU Lei.Analysis of 30 cases of MATLAB intelligent algorithm [M].Beijing:Beijing University of Aeronautics and Astronautics Press,2015.1-16.(in Chinese)
[2] 卢琳珍,徐定华,徐映红.应用三层热防护服热传递改进模型的皮肤烧伤度预测[J].纺织学报,2018,39(1):111-118,125.LU Linzhen,XU Dinghua,XU Yinghong.Prediction of skin burn degree using an improved model of heat transfer in three-layer thermal protective clothing [J].Acta Texturae Sinica,2008,39(1):111-118,125.(in Chinese)
[3] 余跃.纺织材料热湿传递数学建模及其设计反问题[D].浙江:浙江理工大学,2016.YU Yue.Mathematical modeling and design inverse problem of heat and moisture transfer of textile materials [D].Zhejiang:Zhejiang University of Science and Technology,2016.(in Chinese)
[4] 2018全国大学生数学建模竞赛赛题[EB/OL].http://www.mcm.edu.cn.Topics of 2018 Contemporary Undergraduate Mathematical Contest in Modeling [EB/OL].http://www.mcm.edu.cn.(in Chinese)
[5] 潘启天,徐映红,徐定华.基于热湿耦合模型的三层多孔织物厚度决定反问题[J].浙江理工大学学报(自然科学版),2017,37(6):771-777.PAN Qitian,XU Yinghong,XU Yinghong.Inverse problem of thickness determination of three-layer porous fabric based on heat and moisture coupling model[J].Journal of Zhejiang University of Science and Technology (Natural Science Edition),2017,37(6):771-777.(in Chinese)
[6] 徐定华,葛美宝,陈瑞林.基于服装舒适性的纺织材料设计反问题[J].应用数学与计算数学学报,2012,26(3):332-341.XU Dinghua,GE Meibao,CHEN Ruilin.Inverse problem of textile material design based on clothing comfort [J].Journal of Applied Mathematics and Computational Mathematics,2012,26(3):332-341.(in Chinese)
[7] 张凤禄.传热的有限差分方程计算[M].北京:冶金工业出版社,1982:1-3.ZHANG Fenglu.Calculation of finite difference equation for heat transfer [M].Beijing:Metallurgical Industry Press,1982:1-3.(in Chinese)
[8] 唐元升.人体医学参数与概念[M].济南:济南出版社.1995.TANG Yuansheng.Human medical parameters and concepts [M].Jinan:Jinan Press,1995.(in Chinese)
[9] 郁磊.MATLAB 智能算法30个案例分析[M].北京:北京航空航天大学出版社,2015.1-16.YU Lei.Analysis of 30 cases of MATLAB intelligent algorithm [M].Beijing:Beijing University of Aeronautics and Astronautics Press,2015.1-16.(in Chinese)