| 自锚式悬索桥挠度理论基础微分方程近似推导 |
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| 引用本文： | 石磊,刘春城,张哲.自锚式悬索桥挠度理论基础微分方程近似推导[J].哈尔滨工业大学学报,2004,36(12):1733-1735. |
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| 作者姓名： | 石磊 刘春城 张哲 |
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| 作者单位： | 大连理工大学,土木水利学院,大连,116024;大连理工大学,土木水利学院,大连,116024;大连理工大学,土木水利学院,大连,116024 |
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| 摘 要： | 基于大位移非线性弹性理论的广义变分原理，考虑了加劲梁轴向压缩应变能的影响，建立了三跨自锚式悬索桥挠度理论下的大位移不完全广义势能泛函，通过约束变分导出了自锚式悬索桥挠度理论下的基础微分方程，得出了自锚式悬索桥挠度理论的基础微分方程近似于弹性理论下的微分方程这一结论．为阐述自锚式悬索桥静力行为提供了理论依据．
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| 关 键 词： | 自锚式悬索桥 挠度理论 泛函 广义变分 |
| 文章编号： | 0367-6234(2004)12-1733-03 |
| 修稿时间： | 2003年5月20日 |
Basic differential equation deductive of the self-anchored suspension bridge |
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| SHI Lei,LIU Chun-cheng,ZHANG Zhe.Basic differential equation deductive of the self-anchored suspension bridge[J].Journal of Harbin Institute of Technology,2004,36(12):1733-1735. |
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| Authors: | SHI Lei LIU Chun-cheng ZHANG Zhe |
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| Abstract: | Based on the generalized potential energy variational principal of nonlinear elasticity theory with large deflection, the incomplete generalized potential energy function with large deflection is established based on the flexibility theory of three-span self-anchored suspension bridge by considering the effect of axial compressive energy of stiffening girder. By restrictedly variating the differential equations under flexibility theory closed to the ones under elastic theory have been derived, which can provide theoretical basis for the static analysis of self-anchored suspension bridge. |
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| Keywords: | self-anchored suspension bridge flexibility theory functional generalized variation |
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