基于服装热舒适性的纺织材料孔隙率最优设计

Optimal Determination of Porosity for Textile Materials Based on Thermal Comfort

根据服装热舒适性和热传递稳态模型,提出了纺织材料孔隙率决定反问题。把最优孔隙率的求解转化为一个稳定泛函的求极值问题,通过不动点定理证明了织物热传递模型解的存在唯一性。将非线性常微分方程的定解问题离散后得到非线性代数方程组,通过拟牛顿法求解非线性代数方程组;通过斐波那契搜索算法求解函数极小化问题,从而得到孔隙率的最优结果。在数据有扰动的情况下,对于不同环境、不同织物类型和不同织物厚度下的人体着装进行数值模拟,数值结果表明孔隙率反演算法合理、可行。

According to the thermal comfort and heat transfer steady-state modal of clothing,an inverse problem of textile material porosity determination（IPTPD）was put forward.The problem of solving the optimal porosity was transformed into a problem of solving extreme value of a stable extensive function,and the existence and uniqueness of solution to the heat transfer model of fabric were proved via the fixed point theorem.A set of nonlinear algebraic equations were obtained by discretizing the problem for determining solution to nonlinear ordinary differential equations,and the equations were solved with quasi-newton method and minimized with the Fibonacci search algorithm,to obtain the optimal porosity.Numerical simulation of clothing of human body was conducted under different environments and with fabric of different types and thicknesses,which indicates that the inverse algorithm of porosity is reasonable and feasible.