基于微分方程组法的柔性墩台内力计算分析

doi:10.13229/j.cnki.jdxbgxb201501018

吉林大学学报(工学版) ›› 2015, Vol. 45 ›› Issue (1): 121-126.doi: 10.13229/j.cnki.jdxbgxb201501018

基于微分方程组法的柔性墩台内力计算分析

王伟^1，2，王磊¹

1.吉林大学建设工程学院，长春 130026；
2.长春工程学院勘测学院，长春 130012

收稿日期:2013-09-24 出版日期:2015-02-01 发布日期:2015-02-01
作者简介:王伟(1982)，男，工程师，博士研究生.研究方向:地质工程及桥梁结构计算.E-mail:wangwei1982718@sohu.com
基金资助:
“973”国家重点基础研究发展计划项目(2010CB731503).

Calculation and analysis of flexible pier internal force based on method of differential equation set

Wang Wei^1,2,Wang Lei¹

1.College of Construction Engineering, Jilin University, Changchun 130026,China;
2.School of Prospecting and Surveying, Changchun Institute of Technology, Changchun 130012,China

Received:2013-09-24 Online:2015-02-01 Published:2015-02-01

摘要/Abstract

摘要： 以Maple软件为平台，提出了利用求解微分方程组对柔性墩台进行内力计算的方法。此方法先将桥梁各墩台分别视为一整体考虑，根据各节点处的协调变形关系和力的平衡条件建立墩台各计算单元的微分关系。再通过将整联墩台视为一整体考虑，根据混凝土的收缩、徐变以及温度影响力在各节点处产生的横向位移确定各墩台之间的微分关系。最后通过联立微分方程组并求解，得到各墩台内力变化的函数解析式。与目前广泛使用的“集成刚度法”相比，本文方法计算步骤简捷方便，计算结果精确可靠。

关键词: 道路工程, 微分方程组, 柔性墩台, 内力计算

Abstract: Using Maple software as the platform, a method is proposed to calculate the internal force of flexible pier by solving the differential equation set. In this method, first, each bridge pier is considered as a whole, and the differential relationship of each calculation unit of the pier is established according to the coordinating deformation of each node and the force equilibrium condition. Then, all the bridge piers are considered as a whole, and the differential relationships among the piers are established according to the lateral displacement produced by shrinkage, the creep of concrete and the temperature influence on each node. Finally, by simultaneously solving the differential equation set, the internal force functional analytical formula of each pier was obtained. Compared to the currently used integrated stiffness method, the proposed calculation method has the advantages of simple and convenient, and the result is more precise and reliable.

Key words: road engineering, differential equations set, flexible pier, internal force calculation

中图分类号:

U443.21

王伟，王磊. 基于微分方程组法的柔性墩台内力计算分析[J]. 吉林大学学报(工学版), 2015, 45(1): 121-126.

Wang Wei,Wang Lei. Calculation and analysis of flexible pier internal force based on method of differential equation set[J]. 吉林大学学报(工学版), 2015, 45(1): 121-126.

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基于微分方程组法的柔性墩台内力计算分析

Calculation and analysis of flexible pier internal force based on method of differential equation set

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