圆形空心墩日照温度场Laplace变换解析计算  

Analytical Calculation on Sunshine Temperature Field of Cylindrical Hollow Pier by Laplace Integral Transform

作　　者：赵亮[1] 杨志勇[1] 张亮亮[2] 

机构地区：[1]武汉理工大学土木与建筑工程学院,武汉430000 [2]重庆大学土木工程学院,重庆404100

出　　处：《武汉理工大学学报（交通科学与工程版）》2016年第6期1003-1008,共6页Journal of Wuhan University of Technology（Transportation Science & Engineering）

基　　金：重庆市建委项目资助(2014-4-3)

摘　　要：为研究混凝土圆形空心墩的日照温度分布及变化特征,建立了日照作用下空心墩瞬态热传导问题的数学模型.利用气象参数描述边界条件,采用Laplace变换,将时间域的问题转换成Laplace域上的问题,利用Stehfest数值反演得到时间域的解答,从而得到温度场的解析计算式.编程计算得到温度场,与实验测得结果进行对比,两者的温度变化趋势基本一致,结果吻合较好.气象参数分析表明太阳辐射、风速、日平均气温,以及日温度变化幅度是影响混凝土空心墩的温度分布的主要因素.A mathematical model of transient heat conduction for cylindrical concrete hollow pier is developed to investigate the temperature distribution of large cylindrical concrete hollow pier subjected to the solar radiation.As a first step,the meteorological parameters are used to describe the boundary conditions.Furthermore,the Laplace transform method is adopted to develop the analytical method for the temperature field of the hollow pier.Consequently,the calculation is transformed from time domain to Laplace domain.Then,the solution in Laplace domain is inversely transformed to time domain by Stehfest inversion.In order to comply with the calculation of the temperature field,a mathematical software Maple is adopted to implement the analytical method.Furthermore,the temperature field obtained with the analytical tool is verified with the measured data.Finally,the meteorological parameter analysis shows the solar radiation,wind speeds as well as air temperatures are the main factors effecting the temperature distribution in the cylindrical concrete hollow pier.

关 键 词：混凝土圆形空心墩 日照温度场 解析方法 Laplace积分变换 

分 类 号：U443.22[建筑科学—桥梁与隧道工程]