以传导、对流和辐射边界条件共同作用下的不同材料的层叠板为研究对象,利用伽辽金法得到了该结构温度场的有限元方程。研究了当参数含有随机性时,通过综合运用差分法、Monte-Carlo数值模拟法、Q-Q图法、Box-Cox幂变换法,正态假设检验以及参数区间估计,提出了近似求解温度响应区间的方法和表达式。最后以所有参数均为随机性的三层板结构为例,通过所得温度响应区间与诸多随机样本值的比较,表明所提出的分析和求解策略的有效性与合理性。 Taking the laminated materials of different materials under the combined action of conduction, convection and radiation boundary conditions as the research object, the finite element equation of the temperature field of the structure was obtained by the Galerkin method. In this paper, when the parameters contain randomness, the method of differential method, Monte-Carlo numerical simulation method, QQ graph method, Box-Cox power transformation method, normal hypothesis test and parameter interval estimation are studied. Method and expression. Finally, taking the three-layer structure with random parameters as an example, the comparison between the obtained temperature response interval and many random samples shows the effectiveness and rationality of the proposed analysis and solution strategy.