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高桥墩-桩基结构体系屈曲的突变理论分析 被引量:11

Catastrophe Theory Analysis of Structural System Buckling of High Bridge Pier and Pile Foundation
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摘要 在深入研究山区高桥墩-桩基结构体系屈曲机理的基础上,结合其工程特点,首先建立符合其工程特性的力学计算模型,引进突变理论与能量法原理,通过确定山区高桥墩-桩基结构体系的势函数和分叉集方程,建立山区高桥墩-桩基结构体系稳定性分析的尖点突变模型;然后通过分析山区高桥墩-桩基结构体系失稳条件,导出了高桥墩-桩基结构体系极限破坏荷载及其相应的墩顶水平位移计算公式;最后结合室内模型试验结果,对理论计算结果进行了对比分析。结果表明:试验结果与理论计算结果吻合较好,验证了该方法的合理性与可行性。 According to the engineering features of structural system buckling of high bridge pier and pile foundation in mountainous area, the clamped beam mechanical calculation model of high bridge pier was set up by synthetically analyzing the structural system buckling of high bridge pier and pile foundation. Secondly, based on the catastrophe theory and energy method, the cusp catastrophe model of structural system stability analysis of high bridge pier and pile foundation in mountainous area was established by the determination of its potential function and bifurcation set equation. At the same time, the necessary instability conditions of structural system stability analysis of high bridge pier and pile foundation in mountainous area were deduced, and then the post-buckling and lateral displacement calculation of high bridge pier were derived. Lastly, the comparison between the model test results of structural system buckling of high bridge pier and pile foundation and calculated results was furnished. The calculated curves are close with testing curves. It shows that the method is reasonable and effective.
出处 《中国公路学报》 EI CAS CSCD 北大核心 2008年第2期49-53,60,共6页 China Journal of Highway and Transport
基金 国家自然科学基金项目(50578060)
关键词 桥梁工程 高桥墩 尖点突变模型 屈曲 桩基础 稳定性 bridge engineering high bridge pier cusp catastrophe model buckling pile founda- tion stability
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