基于实体单元的桥梁截面内力计算研究  

Study of calculation for internal force of complex bridge sections using solid elements

作　　者：彭卫兵[1] 赵麒麟[1] 潘晓东[1] 熊志洪[1] 

机构地区：[1]浙江工业大学,浙江杭州310014

出　　处：《土木工程学报》2012年第9期91-99,共9页China Civil Engineering Journal

基　　金：国家自然科学基金(50908211);交通部西部交通建设科技基金项目(200831822343);浙江省交通厅课题(2011H09)

摘　　要：系统研究可用于桥梁设计和桥梁倒塌过程分析的控制截面内力计算方法,该方法主要包括以下三个方面:首先研究有限元实体模型的截面剖分算法,提出并分析比较分块索引及相邻单元优先等算法的优劣;其次,在得到截面应力或截面节点力的基础上,进一步研究基于截面应力分布和截面节点力计算截面内力的方法;最后,分别在悬臂梁和圬工拱桥中对采用VS.NET及C#开发的截面内力计算系统进行了应用和验证,并分析圬工拱桥倒塌过程的内力发展。研究结果表明,分块索引相邻单元优先算法进行截面内力计算具有迭代次数少且计算速度快等特点;另外,采用等效节点力计算截面内力具有误差小、效率高和适用范围广等优点,可为桥梁抗倒塌研究提供有效的工具。This paper conducts a systematic study on the calculation method for the internal force of controlling sections in bridge design and the analysis of bridge collapsing process, and includes the following three aspects. First, the subdivision algorithms of FEM model are proposed and the pros and cons of the calculation methods of the Blocking Search and Adjacent Element Priority algorithm are analyzed and compared. The calculation method is studied for the internal forces based on the stress distribution and nodal force after obtaining stress or nodal force on the subdivision surface. A novel system for calculating section forces was developed with VS. NET 2005 and C#, which was applied and verified for cantilever and masonry arch bridges, respectively. The internal force development for the masonry arch bridges during the collapsing process was also analyzed. The results show that less iteration and fast calculation are the characteristics of the intersection algorithm of adjacent priority of blocking search. In addition, calculating the internal forces with equivalent nodal force has smaller error, higher efficiency and wider application, which provides effective tools to collapse-resistance design.

关 键 词：截面剖分 实体单元 内力计算 节点力 

分 类 号：U441.5[建筑科学—桥梁与隧道工程]