摘要
为从理论上获得预张力悬索桥的力学特性,利用大位移不完全广义势能变分原理,建立了预张力悬索桥的一般基础微分方程.在进一步引入假设条件下,导出了基于古典挠度理论的平衡微分方程.通过对微分方程的解析,讨论了预张力悬索桥的静力学特性及其与普通悬索桥的区别.结合算例悬索桥的数值分析表明,预张力悬索桥由于抗风索的存在,以及结构中建立的预张力,在提高结构刚度、减小加劲梁弯矩等方面具有一定的优越性.
The structural behavior of a prestressed suspension bridge (PSB) is calculated using differential equations and the variational principle. The large-displacement, incomplete generalized potential energy of the structure was calculated. The equilibrium differential equation from classical deflection theory was derived by introducing some assumptions. A discussion of the equations is presented. The static properties of a PSB were investigated, and a comparison to a suspension bridge is presented. The numerical analysis of an example bridge is used to illustrate the advantages of a PSB. The results show that it increased structural stiffness and decreased bending moment of the stiffening girder by the existing wind-resistant cables and the pretension force between the cables.
出处
《中国矿业大学学报》
EI
CAS
CSCD
北大核心
2009年第3期380-383,共4页
Journal of China University of Mining & Technology
基金
甘肃省自然科学基金项目(3ZX062-B25-008)
兰州交通大学"青蓝"人才工程基金(QL-06-18A)
关键词
预张力悬索桥
静力性能
变分原理
基础微分方程
prestressing suspension bridge
static property
variation theory
basic differential equation