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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。
Long structural design should be analyzed wall temperature changes caused by temperature stress, to control the temperature effect of wall cracks. Aiming at the single-wall under the harmonic heat effect, the heat conduction differential equation under the first kind of boundary conditions is solved by the variable separation method, and the analytical expression of the temperature field in the single-wall is obtained. Based on this, based on the basic assumption that the temperature and heat flow at the contact surface of the two walls are equal, the analytical solutions of the temperature field of the multi-wall under the first and the third kind of boundary conditions under harmonic heat are deduced. Stress analysis and crack control provide the theoretical basis. The calculated temperature field of the wall is used to analyze and study the temperature field of the wall.