微分方程法对季冻区桥梁墩台内力计算分析  

Calculation and Analysis on Internal Force of Bridge Abutment in Seasonal Frozen Region Based on Differential Equation

作　　者：王伟[1] 

机构地区：[1]长春工程学院勘测学院,长春130012

出　　处：《科学技术与工程》2017年第25期302-309,共8页Science Technology and Engineering

基　　金："973"国家重点基础研究发展计划项目(2010CB731503);长春工程学院种子基金"大兴安岭多年冻土区浅埋式管道冻融循环效应研究"(320160017)资助

摘　　要：以Maple计算软件为平台,利用其求解微分方程组的强大功能,提出了一种对季冻区桥梁墩台进行内力计算的新方法。通过对切向冻胀力作用下的桥梁墩台进行受力分析,划分结构计算单元,建立各墩台的微分方程组表达式,并根据混凝土的收缩、徐变以及温度影响力作用下,整桥各墩台之间及墩台各计算单元之间协同变形确定方程组的边界条件,求解出桥梁各墩台在切向冻胀力作用下的弯矩、剪力与位移的函数解析式。通过与桥梁博士分析软件的计算结果相对比,验证了本方法可以作为季冻区桥梁墩台内力计算分析方法的一种有效补充,并在实际工程中应用推广。A new method of calculating the internal force of the bridge abutment in seasonal frozen region was proposed,using powerful function of solving differential equations of Maple software. This method analyzes the stress of bridge abutment under the action of tangential frost heaving force,and divides the computing unit of structure,then establishes the differential equations expression of each abutment and ensures the boundary determination conditions of differential equation set according to coordination deformation between abutments and units under the action of the concrete shrinkage,creep and temperature influence. Finally it solves the function analytic formula of bending moment,shear force and displacement of bridge abutment under the action of tangential frost heaving force. Comparing with the results calculated by Dr. bridge analysis software,it proves that the method can be used as an effective supplement for internal force calculation of bridge abutment in seasonal frozen region,and can be used and popularized in practical engineering.

关 键 词：微分方程 切向冻胀力 桥梁墩台 内力分析 

分 类 号：U441.1[建筑科学—桥梁与隧道工程]