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摘要
This paper deals with a new inverse problem of estimating textile fabrics thickness based on a one-dimensional steady-state heat and moisture transfer model. First, we give an existence and uniqueness theorem for the solution to the heat and moisture transfer problem in the Banach space. Then we present an inverse problem for the determination of textile fabrics thickness and formulate the inverse problem as an optimization problem with maximum probability, according to the requirement of heat-moisture comfort of clothing. Moreover, considering that the objective function of the proposed optimization problem may not be continuous and the points achieving maximum value may not be unique, we proceed to recast this inverse problem as a minimum norm with a maximum probability constraint problem. Finally, we use a static penalty method to convert the constrained problem into an equivalent unconstrained minimization problem and obtain the solution for the optimization problem by a stochastic search method known as particle swarm optimization algorithm. Numerical experiments show that our new model and its equivalent transformation is quite acceptable, and the proposed numerical method is valid and robust.
