中文摘要：

液体火箭发动机发汗冷却推力室的结构层板可能出现受热皱损。采用三边简支、一边自由的矩形薄板，应用伽辽金法，提出满足边界条件的试函数，求解了层板的扩散流动区任意温度分布下的非均匀热应力的结构稳定性问题。以温度分布为线性时的热应力为例，分析了典型的层板发汗冷却结构的受热变形，获得了层板发汗缝隙宽度和层板厚度之间的关系，并与均布热应力计算结果进行了对比，得到了避免层板受热皱损的更精确的计算方法。

英文摘要：

Heat transfer possibly results in the thermal wrinkling of transpiration cooling platelet of the liquid rocket engine（LRE）＇s thrust chamber. The rectangular sheet with 3 freely-supported sides and 1 free side is assumed for the formed platelet. Applying Galerkin＇s method, the trial function satisfying the boundary conditions is brought out. Stability in the diffusion flow field of the formed platelet is analytically solved by Galerkin＇s method when the thermal compressive stress effect on the platelet is not uniform. Taking the thermal stress in the platelet subjected to linear temperature distribution as an example, the relationship formula between the width of the transpiration gap and the thickness of the platelet is obtained. In contrast with the existing method for uniform thermal stress distribution, a more accurate calculation method to avoid thermal wrinkling of the platelet is given by the case.