多跨高墩变截面梁桥的动力学特性研究

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振动与冲击 ›› 2021, Vol. 40 ›› Issue (16) : 111-117.

论文

多跨高墩变截面梁桥的动力学特性研究

周文鑫1，周叮1，张建东1，刘朵2

作者信息 +

Dynamic characteristics of a multi-span high-pier bridge with variable cross-sections

ZHOU Wenxin1，ZHOU Ding1，ZHANG Jiandong1，LIU Duo2

Author information +

文章历史 +

摘要

研究多跨高墩变截面梁桥的自由振动特性。计算主梁截面等效面积和等效惯性矩，将桥墩简化成弹性支承，基于Euler-Bernoulli梁理论建立了一个带有多个弹性支承的多跨高墩桥梁分析模型。将弹性支承反力看作是梁上的未知外力，计算主梁固有频率及振型，计算结果与有限元结果具有很好的一致性。分析了主梁截面变化率与桥墩高度对主梁固有频率以及振型的影响，研究结果可为多跨高墩变截面梁桥的合理设计提供参考。

Abstract

The free vibration characteristics of a multi-span high-pier bridge with variable cross-sections were studied.The equivalent cross-sectional area and moment of inertia of the variable section beam were calculated, and the piers were simplified as elastic supports.Based on the Euler-Bernoulli beam theory, an analysis model of multi-span high-pier bridge with several elastic supports was established.The reaction forces of the elastic supports were regarded as unknown external forces on the beam, and the natural frequencies and mode shapes of the beam were calculated.The calculation results were in good agreement with the finite element results.Finally, the influence of the change rate of the beam cross-section, the height of the pier on natural frequencies and mode shapes of the beam were analyzed.The results provide a scientific reference for the design of multi-span high-pier variable-section bridges.

导出引用

周文鑫，周叮，张建东，刘朵. 多跨高墩变截面梁桥的动力学特性研究[J]. 振动与冲击, 2021, 40(16): 111-117

ZHOU Wenxin，ZHOU Ding，ZHANG Jiandong，LIU Duo. Dynamic characteristics of a multi-span high-pier bridge with variable cross-sections[J]. Journal of Vibration and Shock, 2021, 40(16): 111-117

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