考虑主塔刚度影响的非对称悬索桥竖弯频率估算公式
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U441.3

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国家自然科学基金(50908017);中央高校基本科研业务费专项资金(201493212002).


Estimation frequency formulas for vertical vibration for double-span continuous system asymmetric suspension bridge considering tower stiffness influence
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    摘要:

    为方便计算双塔两跨连续体系非对称悬索桥的竖向自振频率,在考虑主塔刚度的影响下,应用Rayleigh法,推导其1阶竖弯振动频率近似表达式,并提出了主塔刚度影响系数的表达式,最后对此公式的可行性进行了算例验证。结果表明,主塔刚度对该结构体系的一阶对称竖弯频率有影响,而对一阶反对称竖弯频率没有影响;可通过主塔刚度影响系数进行计算主塔刚度对一阶对称竖向弯曲基频的影响程度;解与有限元解之间的误差范围在初步概念设计阶段所允许的要求之内;所推导的基频近似表达式可用于双塔两跨连续体系非对称悬索桥动力特性估算。

    Abstract:

    In order to facilitate the calculation of the vertical natural frequency of the asymmetric suspension bridge of the two towers, the Rayleigh method is used to derive the approximate expression of the first order bending vibration frequency under the influence of the stiffness of the main tower. The influence of the stiffness of the expression, and finally the feasibility of this formula is verified. The results showed that the stiffness of the main tower has an effect on the first-order symmetrical vertical bending frequency of the structural system and has no effect on the first-order anti-symmetrical vertical bending frequency. The main tower stiffness can be calculated by the influence coefficient of the main tower. The degree of error between the solution and the finite element solution is in the allowable requirement of the initial conceptual design stage. The approximate expression of the fundamental frequency is deduced in this paper.

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王绪旺,宋涛.考虑主塔刚度影响的非对称悬索桥竖弯频率估算公式[J].土木与环境工程学报(中英文),2017,39(6):85-90. Wang Xuwang, Song Tao. Estimation frequency formulas for vertical vibration for double-span continuous system asymmetric suspension bridge considering tower stiffness influence[J]. JOURNAL OF CIVIL AND ENVIRONMENTAL ENGINEERING,2017,39(6):85-90.10.11835/j. issn.1674-4764.2017.06.011

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  • 收稿日期:2017-03-09
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  • 在线发布日期: 2017-11-02
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