基于近似曲线积分MEXE修正方法改进研究  

Development of Modified MEXE Method Based on Approximate Curve Integral Method

作　　者：胡常福[1,2] 任伟新[1,3] 尚继宗[4] 

机构地区：[1]中南大学土木工程学院,湖南长沙410075 [2]华东交通大学土木建筑学院,江西南昌330013 [3]合肥工业大学土木与水利工程学院,安徽合肥230009 [4]西安铁路局机械工务段,陕西西安710000

出　　处：《湘潭大学自然科学学报》2013年第1期63-66,96,共5页Natural Science Journal of Xiangtan University

基　　金：国家自然科学基金项目(50678173;51278163);江西省教育厅项目(GJJ12325);铁路环境振动与噪声教育部工程研究中心资助

摘　　要：鉴于MEXE修正方法中沿抛物线拱轴的曲线积分没有显式解析解的现状,对抛物线拱轴夹角余弦倒数进行近似,得到了曲线积分的实用显式表达式;基于此原理,将考虑轴向力贡献的MEXE方法中曲线积分进行了改进,得到了实用的解析表达式.与原方法相比,本文方法不需进行数值积分,具有较好的实用性;算例表明本文方法结果与原方法结果吻合较好,具有较高的精度.Because of the difficult work to obtain explicit analytical solution of curve integral on parabolic arch axis in modified MEXE method, an approximate curve integral method was proposed in this article to solve this problem. The reciprocal function of cosine of parabolic arch axis angle was approximated, and practical analytical solution of the curve integral was obtained. Based on this method the practical analytical solution of modified MEXE method was obtained. tegration in recommended method, and examples riginal method results in good agreement. Compared with original method, there is no numerical in- show that recommended method results consistent with o-

关 键 词：曲线积分 MEXE方法 抛物线拱 

分 类 号：U445[建筑科学—桥梁与隧道工程]