基于Rayleigh法的独塔非对称悬索桥基频简化算法

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振动与冲击 ›› 2020, Vol. 39 ›› Issue (2) : 234-242.

论文

杨国俊1,2，唐光武1，杜永峰2，郝宪武3，李子青3

作者信息 +

Simplified algorithm for the fundamental frequency of asymmetric single-tower-suspension bridges based on Rayleigh method

YANG Guojun1,2，TANG Guangwu1，DU Yongfeng2，HAO Xianwu3，LI Ziqing3

Author information +

文章历史 +

摘要

为了便于计算独塔非对称悬索桥振动基频，采用Rayleigh法分别推导了一阶正、反对称竖弯及扭转振动基频估算公式，考虑了不对称跨径布置对振动基频的影响，并提出了非对称独塔悬索桥合理的跨径比例。将表征跨径关系的参数k取1即可得到独塔双跨对称悬索桥的基频估算公式，最后通过有限元法验证估算公式的有效性和可靠性。研究结果表明：独塔非对称悬索桥一阶正、反对称竖弯、扭转频率的有限元解和文中解的误差都在10%以内，表明推导的估算公式解与有限元解误差能满足设计阶段的要求，最后讨论了跨径相关系数变化对竖弯和扭转基频的影响并给出了合理边中跨比的建议，该公式可以方便指导独塔悬索桥方案设计和动力计算。

Abstract

In order to calculate the vibration frequencies of an asymmetric single-tower suspension bridge rapidly, frequency formulas for 1st vertical and torsional vibration modes were derived based on the Rayleigh method considering the influence of asymmetric span, and the reasonable span ratio of the asymmetric single-tower suspension bridge was put forward.The estimation of the fundamental frequency of the single-tower suspension bridge with symmetric double-span could also be obtained by taking the value of some related parameter to be 1 in the calculation formula for the asymmetric side-tower suspension bridge.The validity and reliablity of the proposed formulas were verified by the finite element method (FEM).The results show that the errors of both the 1st anti-symmetric and the 1st symmetric vertical and torsional vibration frequencies calculated by the proposed method are less than 10%, as compared with the FEM results, which can meet the design requirement.The influence of the span correlation coefficient on the fundamental frequency was discussed and the reasonable side-middle span ratio was suggested.The results indicate that the proposed simplified method can be applied to guide the scheme design and dynamic calculation of single-tower suspension bridges.

导出引用

杨国俊1,2，唐光武1，杜永峰2，郝宪武3，李子青3. 基于Rayleigh法的独塔非对称悬索桥基频简化算法[J]. 振动与冲击, 2020, 39(2): 234-242

YANG Guojun1,2，TANG Guangwu1，DU Yongfeng2，HAO Xianwu3，LI Ziqing3. Simplified algorithm for the fundamental frequency of asymmetric single-tower-suspension bridges based on Rayleigh method[J]. Journal of Vibration and Shock, 2020, 39(2): 234-242

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