陈品诣1,2,, 黄海东2,*
( 1、重庆市交通规划勘察设计院,重庆 401121; 2、重庆交通大学土木工程学院,重庆 400074; )
摘要: 一直以来对于混凝土内部湿度场的计算大都是利用其湿度场控制方程与温度场控制方程的相似性,通过借助某些有限元软件的温度场计算模块来实现的。但由于混凝土内部传湿理论正处于快速发展阶段,要想紧跟理论的脚步进行湿度场的模拟就需要对软件不断地进行二次开发,这对于大多数人来说并不容易。并且由于商用有限元软件中都只能添加唯一温度场,无法实现湿热耦合计算,因此笔者通过在MATLAB软件中进行自编程序的方式实现对混凝土湿度场控制方程的直接求解。经过研究发现混凝土湿度场控制方程为非线性偏微分方程并难以求得其解析解,根据有限差分理论编写计算程序然后交由计算机计算能够近似求得其数值解,最后将计算结果与ADINA温度场计算模块中所得的结果进行比较,验证了自编程序的计算准确性。经过算例分析确定本文所述计算方法可以对混凝土内部湿度场进行有效模拟,本文所编写程序的计算稳定性及计算精度均能满足数值计算要求。
关键词: 土木工程;混凝土内部湿度场;有限差分法; MATLAB编程;
CHEN Pinyi1,, HUANG Haidong2,*
( 1、Chongqing Communications Planning Survey & Design Institute,Chongqing 401121; 2、College Of Civil Engineering,Chongqing Jiaotong University,Chongqing 400074; )
Abstract: In this paper,It has been for the calculation of internal concrete humidity field are mostly using their field equations humidity and temperature field similarity equations, finite element software by means of some of the temperature field calculation module to achieve. However, due to internal concrete moisture transfer theory is in a stage of rapid development, in order to keep up with the pace of the theory to simulate the humidity field will need to continue to carry out the secondary development of software, it's not easy for most people. And because of commercial finite element software can only add unique temperature field, heat coupling calculation can not be achieved, so I carried out by self programming in MATLAB software way to achieve concrete moisture field controlled directly solving equations. After the study found concrete moisture field equations are nonlinear partial differential equations and difficult to be solved analytically, write calculated by the computer program then calculates its numerical solution can be found by the finite difference approximation theory, and finally the temperature field calculation results with ADINA results calculation module obtained were compared to verify the accuracy of the calculation procedure of self. After numerical example to determine the calculation method described herein can be effective inside the concrete moisture field simulation, computational stability and accuracy herein writing programs can meet the numerical requirement.
Keywords: Civil engineering; Internal concrete humidity field; Finite difference method; MATLAB programming
作者简介: 陈品诣(1990-),男,主要研究方向:桥梁长期结构行为及桥梁检测/加固理论研究。
通信联系人: 黄海东(1978-),男,副教授,主要研究方向:桥梁结构长期结构行为及桥梁检测、加固理论研究。