基于Logistic模型的作业专用服装设计
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摘要
在高温环境下工作时,人们需要穿着专用服装以避免灼伤。对专用服装的设计研究,主要通过建立数学模型改变其不同隔层材料的参数值,观察不同条件下假人皮肤外侧温度随时间的变化规律,从而为其服装设计提供理论性参考。该文针对2018年全国大学生数学建模竞赛A题的高温作业专用服装设计问题进行求解,运用了热传导理论、围护结构热阻计算及遗传算法,构建了热传导公式和相应的Logistic模型,得出了在题目要求的约束条件下各层的厚度大小的解,最后结合实际给出模型的最优解。
When working in high temperature environments, people need to wear special clothing to avoid burns. The design research of special clothing mainly changes the parameter values of different barrier materials by establishing mathematical models,and observes the variation law of the outer skin temperature of the dummy under different conditions with time, thus providing a theoretical reference for its garment design. This paper solves the problem of high-temperature operation special clothing design for the 2018 National College Students Mathematical Modeling Contest, and uses the heat conduction theory, the thermal resistance calculation of the enclosure structure and the genetic algorithm to construct the heat transfer formula and the corresponding Logistic model. The solution of the thickness of each layer under the constraints required by the title, and finally the optimal solution of the model is given in combination with the actual.
When working in high temperature environments, people need to wear special clothing to avoid burns. The design research of special clothing mainly changes the parameter values of different barrier materials by establishing mathematical models,and observes the variation law of the outer skin temperature of the dummy under different conditions with time, thus providing a theoretical reference for its garment design. This paper solves the problem of high-temperature operation special clothing design for the 2018 National College Students Mathematical Modeling Contest, and uses the heat conduction theory, the thermal resistance calculation of the enclosure structure and the genetic algorithm to construct the heat transfer formula and the corresponding Logistic model. The solution of the thickness of each layer under the constraints required by the title, and finally the optimal solution of the model is given in combination with the actual.
引文
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[2]李芳.热能表热量计算方法的研究[J].中国计量,2005(1):49-50.
[3]冷学礼,田茂诚,邱燕,等.基于广义原理的对流换热热阻计算方法及检验[J].化工学报,2014,65(S1):292-296.
[4]Mell W E,Lawson J R.A heat transfer model for firefighters'protective clothing[J].Fire Technology,2000,36(1):39-68.
[5]Mercer G,Sidhu H.Mathematical modelling of the effect of fire exposure on a new type of protective clothing[J].ANZIAMJournal,2008,49:289-305.
[6]贺宏伟,刘彬.MATLAB在线性代数教学中的应用[J].黑龙江科学,2018,9(4):150-151.
[7]郑洲顺,曲选辉.Logistic阻滞增长模型的计算机模拟[J].计算机工程与应用,2002(23):37-39,187.
[8]刘万亮.遗传算法及其在约束优化中的应用[D].天津:天津大学,2012.
[9]宁伟康.进化多目标优化算法研究及其应用[D].西安:西安电子科技大学,2018.
[10]刘爱军,杨育,李斐,等.混沌模拟退火粒子群优化算法研究及应用[J].浙江大学学报:工学版,2013,47(10):1722-1730.
[11]陈义雄,梁昔明,黄亚飞,等.量子粒子群混合优化算法求解约束优化问题[J].小型微型计算机系统,2015,36(2):296-300.