【作者】 唐茂林；

【导师】 强士中；

【作者基本信息】 西南交通大学 ， 桥梁与隧道工程， 2003， 博士

【摘要】 本文是围绕桥梁结构几何非线性分析与软件开发而展开的，并重点针对悬索桥进行分析。全文主要包括两大部分：悬索桥主缆线形计算部分和桥梁结构几何非线性分析部分。悬索桥线形计算部分的主要内容如下： 首先，介绍了悬索桥的传统线形计算理论——抛物线理论；根据悬索桥的特征，建立了悬索桥主缆线形计算的精确理论——分段悬链线理论；并由此比较了分段抛物线法、分段直线法及传统抛物线理论的误差和适用范围；分析了索长变化、跨度变化及主缆变形引起的恒载重分布对主缆线形的影响。 其次，根据悬索桥恒载设计理想状态建立了悬索桥施工计算原理；以分段悬链线索理论为基础，推导了悬索的线形变化刚度和悬索支点的滑移刚度；介绍了悬索桥成桥设计线形计算、吊索无应力长度计算、空缆线形与预偏量计算、丝股架设线形计算、索夹安装位置计算和加劲梁吊装线形计算的具体方法、数值算法及软件SGKZ2000的计算模块的实现。 再次，介绍了悬索桥的施工控制内容与方法，利用软件SGKZ2000对多座悬索桥进行了施工计算，提出本文关于悬索桥的主缆无应力长度控制、索鞍预偏量控制、锚跨张力控制、丝股架设控制、索夹安装位置与吊索长度控制的方法；介绍了吊梁阶段鞍座顶推量的确定与控制方法，分析了施工阶段悬索桥的线形变化过程。 桥梁结构几何非线性分析部分的主要内容如下： 首先，建立了计算精度不依赖于切线刚度矩阵且在理论上能收敛到精确解的几何非线性求解方法；根据求解方法的特点，介绍了为实现高精度的计算结果的外荷载矢量及内力矢量的计算方法；介绍了空间大转动问题的坐标系确定和坐标转换矩阵及直接根据局部坐标系与截面坐标系计算转动变形的方法；介绍了在几何非线性分析中梁单元、杆单元、索单元、索膜(杆面)单元、鞍座单元、支承单元、刚臂、单向受力单元、单元间隙、单元自由度放松等问题的处理方法。 其次，介绍了对任意指定结构的几何非线性分析原理、施工阶段几何非线性计算原理、考虑几何非线性的活载加载位置与最不利值的计算原理、车队行驶静力时程分析原理、非线性结构的自振特性和结构动力反应分析原理等，其中包含了相应的计算程序模块的编制方法，形成了一整套考虑桥梁结构所有几第日页西南交通大学博士研究生学位论文何非线性因素的桥梁结构分析方法。 再次，介绍了本文编制的悬索桥主缆设计与施工计算专用软件SGKZZ000和桥梁结构空间几何非线性静动力分析软件BCAs200O的主要特点与功能、工程应用情况、界面及编程技术;给出了软件验证过的部分经典算例及比较，对软件的精度和可靠性加以了验证。 最后，比较了试验测试数据与BCAsZ000软件的计算结果，验证了BCAsZ000的可靠性;对加劲梁铰接法施工的悬索桥进行了恒载内力分析;对多座悬索桥进行了风载、温度变化、车辆活载效应分析;对不同的非线性加载模式和荷载组合方法进行了比较;对悬索桥的扭转刚度、横向刚度、竖向刚度进行了参数分析与机理分析。更多还原

【Abstract】 This paper concerns geometric nonlinear analysis of bridge structure and software development, mainly concentrating on the analysis for suspension bridge. It consists of two parts, calculation of cable curve for suspension bridge and geometric nonlinear analysis of bridge structure.The main contents about calculation of cable curve for suspension bridges are as follows:Firstly, parabola theory, a traditional calculation theory of linetype for suspension bridge, is introduced. According to behavior of suspension bridge, segmental catenary theory which is an exact calculation theory of cable curve for suspension bridges is then built. After that, the errors and adaptable range of segmental parabola theory, segmental straight-line theory and traditional parabola theory are compared one another. And then the effect of the change of cable length and span and the redistribution of dead load due to deformation on cable curve are analyzed.Secondly, calculation theory of construction for suspension bridge is presented under the ideal condition of dead load design. Linetype change stiffness of cable and slip stiffness of supporting points are deduced based on segmental catenary theory. Then numerical analysis method through SGKZ2000 software are introduced in detail about calculating design linetype for suspension bridge, unstressed length of cable, erection linetype of cable and pre-displacement of saddle without loads, erection linetype of wire strands, the fixed position for erecting cable band and linetype of lifting stiffening girders.Finally, the contents and approaches of construction control for suspension bridge are described. Construction calculation for several suspension bridges is made using SGKZ2000 software. This paper also presents the methods of controlling unstressed length of cable, pre-displacement of saddle, anchor span tension, erection of wire strands, the fixed position for erecting cable band and cable length. Determination and control approach of displacement of saddles during cable erection are also introduced. At the same time, the change course of linetype during construction period for suspension bridge is analyzed.The main contents about geometric nonlinear analysis of bridge structure are as follows:First of all, geometric nonlinear solution method whose calculation precisiondoesn’t depend on tangent stiffness matrix but can converge to an exact solution is proposed. According to the characters of this solution, solution method of loads and internal force vectors to achieve the highly precise results is introduced, determination of coordinate system and matrix of coordinate transformation about the problem of 3-D large rotation and the method of calculating rotational deformation directly from local coordination system and cross-section coordination system are presented, and then the treatment to the problems such as beam element, truss element, cable element, cable-membrane element, saddle element, supporting element, uniaxial force element, gap element and release of degree of freedom of elements and etc are given.Then, author introduces geometric nonlinear analysis theory, geometric nonlinear calculation theory during construction period, load position of live load considering geometric nonlinear and calculation theory of worst-case value, static time history theory for vehicle running, geometric nonlinear analysis theory of natural vibration and structural dynamic reaction and so on. All of these theories fit any appointed structure with corresponding programs. So a series of completed analysis approaches that cover all geometric nonlinear factors of bridge structure are formed.And then, SGKZ2000 which is a special software for cable design and construction calculation for suspension bridge and BCAS2000, a 3-D geometric nonlinear static and dynamic analysis software for bridge structure, are described on aspects of main characters, function, applying condition in engineering, interface and program technology. Part of these classic examples and contracts are更多还原