等截面抛物线拱桥内力实用解析解研究  

Research on practical analytic solution of parabolic arch bridges with uniform section

作　　者：胡常福[1,2] 雷亮亮[2] 陈海龙[2] 尚继宗[2] 

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

出　　处：《铁道科学与工程学报》2011年第5期12-18,共7页Journal of Railway Science and Engineering

基　　金：国家973计划资助项目(2009BC623203);国家自然科学基金资助项目(51002050);铁路环境振动与噪声教育部工程研究中心资助

摘　　要：鉴于抛物线拱解析解研究不充分的现状,提出使用近似弧长微分表达式替代精确弧长微分,得出曲线积分的显式表达式,简化了抛物线拱桥内力解析解表达式。基于此方法,对抛物线两铰拱、无铰拱在主拱圈自重、桥面均布荷载作用下的内力实用表达式进行了推导,用常变位数值比较和具体工程实例结果证明了本文方法比常规解析解有更好的精度,比有限元法数值解有更一般的表达式。Inner force calculation method of main arch ring is a significant part of arch bridge design work,which consists of finite element method and analytical method.Due to the inadequate research work in parabolic main arch ring inner force analytic solution,an approximate arc length differential expression was proposed.The display expression of curve integral was deduced,so the parabolic main arch ring inner force analytic solution was simplified.For testing the promoted method,the main arch ring inner force analytic solution of parabolic two hinged arch and hingeless arch under main arch ring and deck system dead load was deduced,through constant deflection and practical arch bridge inner force comparing,it is shown that the promoted method has more accuracy than other literature,more general expression than numerical results

关 键 词：恒载内力 弧长微分 实用表达式 

分 类 号：U445[建筑科学—桥梁与隧道工程]