摘要
为给纺织材料的功能性设计提供理论支持和科学解释,基于低温环境下纺织材料热湿传递稳态模型,研究一类双层纺织材料厚度设计反问题。首先给出一个双层纺织材料热湿传递稳态模型及相应的边界条件,该模型是关于温度和湿度的耦合常微分方程组,通过解耦可化为两点初边值问题,并采用有限差分法求解;然后根据服装热湿舒适性要求,将纺织材料内层厚度看成一个未知量,提出了一类双层纺织材料厚度设计反问题,并将该反问题归结为一个具有最小二乘解的优化问题;最后采用粒子群算法求解该优化问题。结果表明,双层纺织材料厚度设计反问题是合理的,粒子群算法能有效地解决该反问题,该算法具有鲁棒性。
This paper deals with an inverse problem of estimating bilayer textile fabric thickness based on a one-dimensional steady-state heat and moisture transfer model to provide theoretical support and scientific explanation for functional design for textile material. We first present a model of heat and moisture transfer for bilayer textile materials with boundary conditions, which is a coupled ordinary differential equation including temperature and humidity. We transform them into two two-point initial and boundary value problems by decoupling and solve them by finite difference method. According to the requirement of heat and moisture comfort of clothing, we then formulate this inverse heat and moisture transfer problem which estimates the thickness of inner layer fabric as an optimization problem with least square solution. Finally, we use particle swarm algorithm to solve this inverse problem. The results demonstrate that our inverse problem is quiet acceptable, and the particle swarm algorithm effectively solves this inverse problem, showing the proposed method is robust.
出处
《纺织学报》
EI
CAS
CSCD
北大核心
2013年第6期40-45,共6页
Journal of Textile Research
基金
国家自然科学基金面上项目(NSFC11071221)
浙江省自然科学基金青年基金项目(LQ12A01024)
关键词
纺织材料
厚度设计
双层热湿传递模型
反问题
粒子群算法
textile material
thickness design
model of heat and moisture transfer for bilayer textile
inverse problem
particle swarm algorithm
