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基于模型修正及体系可靠度的桥梁结构性能评价

Evaluation of the Performance of Bridge Structures Based on Updated Model and System Reliability

作者: 专业:岩土工程 导师:王复明 年度:2010 学位:硕士  院校: 郑州大学

Keywords

Bridge Structure, Structural Performance, System Reliability, Model Updating, Optimization Calculation, Static Load Test

        21世纪我国桥梁工程将迎来全面的维修养护期,桥梁结构的病害检测以及结构性能的评价是桥梁进行维修养护的前提。目前,桥梁结构性能评价一般基于承载力评估,极少反映桥梁结构刚度和可靠指标的变化,本文基于模型修正及体系可靠度来评价桥梁结构性能。从静载试验入手,着重分析桥梁结构的刚度,利用静力测试响应,通过模型修正获得桥梁结构的真实截面抗弯刚度,建立分段截面抗弯刚度的极限状态方程,计算各分段截面可靠指标,借助体系可靠度的串联思想,获得桥梁结构的可靠指标,实现对桥梁结构的性能评价。本文的主要内容以及相关结论如下:1.阐述了基于静力荷载试验结果进行有限元模型修正的基本原理和方法。根据静力荷载试验,利用静力响应信息对初始模型的截面抗弯刚度进行修正。在修正过程中,为了避免直接对单元刚度矩阵进行修正,提出了通过修正结构单元刚度系数及其变化因子向量来实现对截面抗弯刚度的修正。2.基于Matlab在矩阵计算以及优化算法中的优势,利用Matlab编制了静力模型修正程序。通过算例分析,验证了程序的可行性,实现了对算例简支梁的有限元模型修正,得到了预期的截面抗弯刚度。3.在模型修正获得桥梁截面抗弯刚度的基础上,建立由修正截面抗弯刚度表示的极限状态方程,计算分段截面的可靠指标。借助体系可靠度的串联思想,获得桥梁结构的可靠指标,实现对桥梁的结构性能评价。4.通过工程实例,对箱梁结构进行静力荷载试验,应用本文提出的评价方法,对箱梁作出结构性能评价,与常规评价方法(挠度和应力评价方法)比较,两者得出的结论一致,说明本方法能得到预期效果。本文利用静力有限元模型修正完成了对桥梁结构实际截面抗弯刚度的修正,相比于现有规范对刚度的计算规定更为准确,在此基础上利用可靠度理论分析桥梁的结构性能,为桥梁结构性能评价提供了一种可行且较为合理的思路。
    After a large-scale construction period, bridge engineering in China will come into a comprehensive maintenance and upkeep phase in the 21st century. Defects detection of Bridge structure and evaluation of structure’s properties is the premise of strengthening the bridge for maintenance. Also it is guarantee to use of the bridge. Currently, it maybe exists many methods of bridge structure evaluation system. In this paper, on the basis of existing research results, and based on static loading test, combination of finite element numerical simulation, the writer uses static load test results to amend the error of the initial finite element model. It makes the initial finite element model conform to the actual situation of bridge structure. In this paper, the finite element model updating through the bridge structure of obtaining the actual cross-section flexural stiffness. The use of reliability theory put up a "bridge" between revised model and the performance evaluation of bridge structure. That is the reliable indicator of sub-section’s bending stiffness. According to the actual system conditions of bridge structures, to obtain a reliable indicator of the bridge eventually realize the performance evaluation of bridge structures. The main contents of this article and related conclusions are as follows:1. Basic principle and methods of the finite element model updating based on static loading test results are described in this paper. Using finite element model updating technology to amend the initial finite element model thus avoiding the error between the initial finite element model and the actual structure. Eventually it obtains a true beam bending stiffness of cross-section.2. Because of the advantages of Conducting matrix calculation about Matlab,while Carrying out numerical calculations, the author uses Matlab to achieve the preparation of procedures.It verifies the feasibility of the program,and implements the finite element model updating of H-beam through an example.It achieves the expection of cross-section flexural stiffness of beam. Theoretical analysis and numerical examples show that:using static load test results can implement the initial finite element model updating, and can correct the model error of initial model. Eventually it is able to access the actual situation of the calculation model.3. Starting from the revising sub-beam bridge structure of the cross-section flexural stiffness, and using theory of reliability as the revised model and performance evaluation of beam bridge structure the link, according to the actual system conditions,(Series or parallel system), by analyzing the a reliable indicator of beam bridge’s sub-section, to gain a reliable indicator of Beam bridge structure, Eventually, it realize the structural performance evaluation of beam bridges.4. By carrying on the static load test of box girder structure, the author gives evaluation of box girder structure of the capacity and structural performance in this paper. Compared with the conventional evaluation methods, both conclude that the same.lt points that this method can get the desired result.Using finite element model updating technology to complete the updation of true cross-section flexural stiffness of bridge structures.Compared with the stiffness which Norm calculated,updated results is more accurated.On this basis, using reliability theory to analysis structural performance of bridge structure,it provides a new way for the performance evaluation of bridge structures.
        

基于模型修正及体系可靠度的桥梁结构性能评价

摘要4-5
Abstract5-6
1 绪论10-18
    1.1 概述10-11
    1.2 桥梁结构性能评价研究现状11-16
        1.2.1 基于实桥表观检查评价11-13
        1.2.2 荷载试验法13-16
        1.2.3 可靠度评估法16
    1.3 有限元数值模拟16-17
    1.4 本文的主要工作17-18
2 有限元模型修正技术研究18-38
    2.1 有限元模型修正概述18-20
        2.1.1 有限元简介18-19
        2.1.2 模型修正概述19-20
    2.2 静力有限元模型修正技术研究20-32
        2.2.1 基本原理20-22
        2.2.2 静力有限元模型修正主要环节22-32
    2.3 MATLAB简介及优化算法分析32-37
        2.3.1 Matlab简介32-33
        2.3.2 优化算法分析33-37
    2.4 本章小结37-38
3 静力有限元模型修正实现过程38-48
    3.1 梁结构初始模型38-41
        3.1.1 初始模型选择38
        3.1.2 梁单元有限元求解理论38-41
    3.2 数值算例41-47
        3.2.1 算例概况41-43
        3.2.2 算例有限元模型修正43-46
        3.2.3 算例修正结果46-47
    3.3 修正误差概述47
    3.4 本章小结47-48
4 桥梁结构性能评价48-61
    4.1 引言48
    4.2 结构可靠性基本理论48-51
        4.2.1 结构的极限状态48-49
        4.2.2 结构可靠度49-51
        4.2.3 结构可靠度计算方法51
    4.3 基本结构体系51-53
        4.3.1 串联体系52
        4.3.2 并联体系52-53
    4.4 桥梁可靠度分析及结构性能评价53-60
        4.4.1 梁正截面抗弯刚度53-55
        4.4.2 极限状态方程及结构性能评价方法55-60
    4.5 本章小结60-61
5 工程应用实例61-73
    5.1 工程概况61-62
    5.2 试验方案62-65
        5.2.1 试验加载方案62-64
        5.2.2 检测内容及量测仪器设备64
        5.2.3 测点布置64-65
    5.3 试验结果及分析评价65-67
        5.3.1 试验梁挠度以及应变测试结果65-67
        5.3.2 试验梁结构性能分析评价67
    5.4 基于有限元模型修正及体系可靠性的结构性能评价67-72
        5.4.1 有限元模型单元划分以及截面抗弯刚度初值67-69
        5.4.2 静力有限元模型修正结果69-70
        5.4.3 箱梁结构可靠度计算70-71
        5.4.4 箱梁结构性能评价71-72
    5.5 本章小结72-73
6 结论与展望73-75
    6.1 主要研究结论73
    6.2 展望73-75
参考文献75-78
致谢78-79
附录79-85
    部分程序代码及说明79-85
个人简历、在校发表学术论文及研究成果85
    个人简历85
    攻读硕士期间发表的论文85
        下载全文需50


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