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本文给出一种首先利用Laplace变换求解在单位脉冲作用下多层壁表面的热流响应函数,然后利用求解导热反问题的解析公式求解出多层壁各层中的温度响应函数.对任意温度扰量作用在多层壁的边界条件下,利用了关于线性系统的DuhameI积分原理求解整个多层壁的温度场.两个计算实例说明了这种方法是极为有效的.
In this paper, we first use Laplace transform to solve the heat flow response function of multi-layered wall surface under the action of unit pulse. Then we use the analytic formula to solve the inverse problem of heat conduction to solve the temperature response function in each layer of multilayer wall. The quantity acts on the boundary conditions of a multi-layered wall and the Duhame I integral principle for a linear system is used to solve the temperature field of the entire multi-layered wall. Two calculation examples illustrate that this method is extremely effective.