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求解路面结构瞬态温度场的半解析法

, PP. 48-52

Keywords: 道路工程,路面结构,半解析法,温度场

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Abstract:

对路面结构瞬态温度场进行了求解,并提出了一种空间上解析而时间上有限差分离散的半解析法。首先,根据路面结构层状特征、传热特点和传热学原理,建立了路面结构瞬态热传导问题的数学模型,该模型综合考虑了大气温度、日辐射和地面反射等环境因素变化的影响。其次,基于时间有限差分离散,推导了以层间状态变量(温度和热流密度)表示的状态方程。最后,根据矩阵分析理论,给出了路面结构瞬时温度场的逐时递进公式和基于MATLAB5.2平台编制了相应的计算软件。对某一典型路面结构夏冬季瞬态温度场进行了计算,获得了其时空分布规律,并与ANSYS10.0计算结果进行比较。路面结构上部温度随时间和深度均有显著变化,当太阳辐射最强时,温度变化更突出;随着深度的增加,温度变化越来越弱。不论何时,路面结构内存在着沿深度方向的不均匀分布温度场,所产生的温度应力会诱发裂缝,路面结构设计时应注意。

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