非一致激励对三塔自锚式悬索桥地震响应的影响

张 超 巫生平

振动与冲击 ›› 2015, Vol. 34 ›› Issue (2) : 197-203.

PDF(2998 KB)
PDF(2998 KB)
振动与冲击 ›› 2015, Vol. 34 ›› Issue (2) : 197-203.
论文

非一致激励对三塔自锚式悬索桥地震响应的影响

  • 张 超 巫生平
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Frequency formulas for vertical vibration of three-tower self-anchored suspension bridge considering tower stiffness influence

  • ZHANG Chao WU Sheng-ping
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摘要

多塔自锚式悬索桥为新型桥梁结构形式,其振动特性较常规悬索桥有较大的不同。由于中跨主缆等效刚度较小,且中塔刚度相对较大,主塔刚度对多塔自锚式悬索桥竖向频率的影响通常不能忽略。本文基于最简单的多塔自锚式悬索桥形式——三塔自锚式悬索桥,考虑主塔刚度对振动频率的影响,应用Rayleigh法推导了1阶反对称和正对称竖弯振动频率计算公式。本文公式的准确性得到物理模型测试结果和数值模型分析结果的验证,可适用于三塔自锚式悬索桥竖弯频率计算,并可进一步推广至多塔自锚式悬索桥竖弯频率计算。

Abstract

As a new type of bridge, vibration characteristics of multi-tower self-anchored suspension bridge(MSSB) is quite different from traditional suspension bridge. For equivalent stiffness of cables in main span is relatively small and stiffness of middle towers is relatively large, the influence of tower stiffness on vertical frequency of MSSB usually can not be ignored. In this paper, the three-tower self-anchored suspension bridge(TSSB) was taken as research object, which is the simplest type of MSSB. Considering tower stiffness infleuence, frequency formulas for 1st anti-symmetric and symmetric vertical vibration modes of TSSB were derived by the Rayleigh method. The accuracy of proposed formulas are checked by modal test result and numerical simulation result respectively. These formulas can be appropriate to calculate vertical frequency for TSSB, and can further be promote to frequency calculation for MSSB.

关键词

多塔悬索桥 / 自锚式悬索桥 / 竖向振动 / 频率公式 / 主塔刚度

Key words

Multi-tower suspension bridge / self-anchored suspension bridge / vertical vibration / frequency formula / tower stiffness

引用本文

导出引用
张 超 巫生平. 非一致激励对三塔自锚式悬索桥地震响应的影响[J]. 振动与冲击, 2015, 34(2): 197-203
ZHANG Chao WU Sheng-ping. Frequency formulas for vertical vibration of three-tower self-anchored suspension bridge considering tower stiffness influence[J]. Journal of Vibration and Shock, 2015, 34(2): 197-203

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