一个与蜂窝结构温度分布有关问题的解

<正> 蜂窝结构具有重量轻、比强度高、比刚度大等优点,已在航空器和航天器上得到广泛的应用。蜂窝结构基本上可分为上面板、下面板和蜂窝蕊三部分。当蜂窝结构被用于制作飞行器舱体时,其上面板(或称外面板)直接经受对流和辐射换热,其下面板(或称内面板)与舱内空气接触。这样,在假定: 1.飞行器飞行攻角为零;蜂窝厚度相对于壳体半径为小量; 2.内面板、外面板和蜂窝蕊材料均匀,并且它们的物理性能参数与温度无关;

THE EXACT SOLUTION TO A PROBLEM ASSOCIATED WITH THE DISTRIBUTION OF TEMPERATURE IN A HONEYCOMB SANDWICH

This paper deals with a mixed initial-boundary value problem for the one-dimensional heat-flow equation. This problem is closely associated with the distribution of the temperature in a honeycomb sandwich used in the shell construction of vehicle. The boundary conditions are more complicated than the usual ones for the one-dimensional heat-flow equation. Under certain hypotheses, the exact solution of this problem can be obtained by the method of the separation of the variables. This solution may be used to check the accuracy of finite difference approximation.