悬索桥线形及吊索索力计算方法研究

发布时间：2018-06-20 14:54

本文选题：悬索桥 + 主缆线形　；参考：《石家庄铁道大学》2015年硕士论文

【摘要】：悬索桥因其造型美观,施工简便,力学关系明确,以及适于大跨等特点,近年来在国内多被采用。悬索桥因属于柔性结构体系,受力后表现为较强的非线性特征,而其线形不能像斜拉桥那样通过后期受力进行调整,必须通过准确计算其无应力状态来进行施工过程控制,因此,其线形及内力计算就显得更为重要。本文以悬索桥线形计算为基础,对桥梁状态及吊索力的确定方法研究具有一定的工程应用价值。本文首先归纳总结了悬索桥静力计算的几种基本理论,具体分析了挠度理论的计算过程。推导了主缆线形的分段悬链线计算方法,研究了悬索数值分析的两类问题。研究了新型双缆悬索桥线形计算的方法,以分段悬链线理论为基础,采用逐段递推关系分别计算了上、下主缆的线形及吊索力。以悬索桥的成桥状态为起点,以分段悬链线为理论基础,建立确定半跨荷载作用下桥梁线形及内力计算的分段递推法,通过同伦延拓法求解非线性方程组,该法求解非线性方程组具有收敛性好、迭代初值要求松等优点。针对悬索桥主缆线形解析法求解,利用MATLAB软件编制了计算程序。利用有限元分析软件Midas/Civil对某空间缆索悬索桥线形进行了计算,对建模方法进行了讨论,得出了成桥状态线形及吊索力,根据分布规律验证了结果的正确性。
[Abstract]:Suspension bridge, because of its beautiful shape, simple construction, clear mechanical relationship, and suitable for large span, has been widely adopted in China in recent years. The suspension bridge is a flexible structural system which is characterized by strong nonlinear characteristics after force, and its line can not be adjusted by the post force like a cable-stayed bridge, so it must be accurately calculated. In this paper, the calculation of the line shape and internal force of the suspension bridge is more important. Based on the linear calculation of the suspension bridge, this paper has a certain engineering application value for the study of the method of determining the state and sling force of the bridge. The calculation process of the theory of deflection is derived. The calculation method of the segmented Catenary line of the line of the main cable is derived, and two kinds of problems of the numerical analysis of the suspension cable are studied. The method of linear calculation of a new type double cable suspension bridge is studied. On the basis of the segmented catenary theory, the line and sling force of the main cable is calculated by the piecewise recursion relation. The suspension bridge is used as a suspension bridge. Based on the theoretical basis of the segmented Catenary line, a piecewise recursive method for determining the linear and internal forces of bridges under half span load is established. The nonlinear equations are solved by the homotopy continuation method. The method has the advantages of good convergence and loosening of initial iterations. The linear analysis method for the main cable of suspension bridge is used. The calculation program is compiled with MATLAB software. The line shape of a space cable suspension bridge is calculated by using the finite element analysis software Midas/Civil. The modeling method is discussed. The line shape and sling force of the bridge state are obtained, and the correctness of the result is verified according to the distribution law.
【学位授予单位】：石家庄铁道大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：U441;U448.25

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