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稳定型悬索桥非线性有限元静动力计算

The Static and Kinetic Computation of Stable Type Suspension Bridge by Nonlinear Finite Elements Method

【作者】 缪莉

【导师】 屈本宁;

【作者基本信息】 昆明理工大学 , 工程力学, 2002, 硕士

【摘要】 一直以来,悬索桥变形大、侧向稳定性差的缺点影响其在中小型桥梁中的发展,针对此问题提出的稳定型悬索桥从结构上改善了一般悬索桥的稳定性。本文就是对稳定型悬索桥作进一步研究,分析索塔对结构的影响。 论文从有限位移弹性理论的虚功方程出发,推导出稳定桥全桥结构的非线性有限元运动方程,还推导了用节点坐标表示的索单元、杆单元和梁单元的单元刚度矩阵,这一点在参考文献较少见。 采用FORTRAN语言编写了静力计算程序:NO_TOWER.F和TOWER.F及固有特性计算程序:FZKJ.F。利用计算程序,分别对无塔模型和有塔模型的静力问题在各种工况下进行了模拟计算,对比分析了两种模型的内力、坐标变化情况。应用固有特性程序ZKJ.F计算了两种模型的前10阶固有频率和相向振型,作了对比分析。 本文的成果有两点:一是通过计算得到了索塔对稳定桥的静力和动力分析的影响。静力方面:考虑索塔时刚度变小,稳定桥几何变形增加,内力减小,但变化幅度较小;固有特性方面:有塔模型的自振频率低于无塔模型,主要振型也不同。这一点可作为设计和施工中的参考,具有重要的实际意义。二是文章中推导的刚度矩阵(特别是索单元),以及编写的相应的静动力程序,不仅可以用于解决稳定型悬索桥的分析,而且还可解决一大类工程结构的计算问题,例如:悬索结构等。从这点讲,具有一定的应用价值。

【Abstract】 Large displacement, lateral stability limit small-span and mid-span suspension bridge development. To solving these problems, people present stable type suspension bridge for enhancing common suspension bridge lateral stability in structure. According to stable type suspension bridge, writer analyses tower of bridge influence on structure.On the basis of large-displacement virtual principle, the finite element equations of stable type suspension bridge containing towers are driven. The stiffness matrixes of the cable element, the bar element and the beam element using node coordinates are given, too. Such method has not been found inreference books.The static computer programs (no-tower.f and tower.f) and kinetic computer program (zkj.f) are written in fortran language. The static samples of tower-contained and tower-uncontained model under different loads are calculated, the natural frequencies and the modes before the 10th order are also computed .The comparison between two models calculating result is done.There are two main results in the thesis. Firstly, the influences of bridge tower upon stable type suspension bridge static and kinetic analysis are made. In the static case, the stiffness and the internal forces of the tower-contained model become small, the geometric deformations increase, but the changing width is small. The natural frequencies of tower-contained model are lower than those of the tower-uncontained model, and the major modes of the two models are different. The conclusions are important in practice using as design suggestions. Secondly, the stiffness matrixes (special of the cable element) and computer program can be applied into resolving not only the problem of stable type suspension bridge but also a kind of engineering structures, Such as suspension wire structures. From this point, the thesis has practice application.

  • 【分类号】U441
  • 【被引频次】5
  • 【下载频次】718
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