三跨连续加劲梁悬索桥基频近似公式

鞠小华

铁道工程学报 ›› 2003, Vol. 20 ›› Issue (2) : 59-63.

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PDF(214 KB)
铁道工程学报 ›› 2003, Vol. 20 ›› Issue (2) : 59-63.
路网研究

三跨连续加劲梁悬索桥基频近似公式

  • 鞠小华
作者信息 +

APPROXIMATIVE FORMULAS OF CALCULATING PRIMARY FREQUENCIES FOR THREE-SPAN CONTIMUOUS GIRDER SUSPENSION BRIDGES

  • JU Xiao-hua
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摘要

基于能量原理,用Rayleigh-Ritz法导出了三跨连续加劲梁悬索桥的一阶反对称、对称的竖向挠曲自由振动和扭转自由振动的频率;并忽略了一些影响悬索桥基频的次要因素,对导出的悬索桥基频近似计算公式作了进一步的简化,得出了悬索桥自由振动基频的近似公式。最后用导出的悬索桥振动基频近似公式分别对三座三跨连续加劲梁悬索桥算例进行了计算,把用本文导出的公式计算出的结果和精确的有限元解相比较,结果非常接近,其精度可以满足方案选择和初步设计阶段的要求。

Abstract

Based on energy principles, the calculations of both the symmetrical and the antisymmetrical natural vertical and torsional frequencies of three-span continuous girder suspension bridges are obtained. The calculating formulas are predigested. Three three-span examples of suspension bridges are illustrated. The accuracy of the analysis is examined through comparative computation by means of the comparisons between the formulas and the finite clement approach. These approximative formulas can be used in process of the project choosing and the preliminary design.

关键词

悬索桥 / 自由振动 / 基频 / 近似计算

Key words

suspension bridge / free vibration / primary frequency / approximative calculation

引用本文

导出引用
鞠小华. 三跨连续加劲梁悬索桥基频近似公式[J]. 铁道工程学报, 2003, 20(2): 59-63
JU Xiao-hua. APPROXIMATIVE FORMULAS OF CALCULATING PRIMARY FREQUENCIES FOR THREE-SPAN CONTIMUOUS GIRDER SUSPENSION BRIDGES[J]. Journal of Railway Engineering Society, 2003, 20(2): 59-63
中图分类号: U448   

参考文献

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[6]廖海黎,沈锐利.悬索桥三维自振特性分析[A].见:第一届全国索结构学术交流会论文集[C].无锡;1991.
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