谐波热作用下墙体温度场的解析解

超长结构设计时应分析墙体温度场变化产生的温度应力,以控制温度作用墙体产生裂缝.针对谐波热作用下的单层墙,采取变量分离法求解第一类边界条件下的热传导微分方程,得到单层墙温度场的解析表达式.以此为基础,采用两层墙接触面处温度和热流相等的基本假设,推导了谐波热作用下第一类和第三类边界条件时多层墙温度场的解析解,为墙体温度应力分析和裂缝控制提供了理论基础.利用推导的墙体温度场计算公式,对外墙外保温墙体的温度场进行了分析和研究.

ANALYTICAL SOLUTION FOR TEMPERATURE FIELD IN WALLS SUBJECTED TO HARMONIC HEAT

In overlong structure design, the temperature stress of walls caused by temperature field changes should be analyzed in order to control temperature cracks in the walls. For single-layer walls subjected to periodic harmonic heat, the heat transfer differential equation in the first boundary condition was solved by a variable separation method, and the analytical solution for the temperature field of a single-layer wall was received. Based on this solution and the assumption that the temperature and heat flow at the contact interface of two layers are equal, the analytical solutions of a temperature field of a multilayer wall was obtained while cconsidering the heat exchange between the wall and the air, and provided a theoretical basis for the temperature stress analysis and crack controlling in walls. Using this formula for the temperature field in walls, the temperature field in the external insulation wall was researched.