大跨度桥梁颤振后状态气动稳定性

王骑; 廖海黎; 李明水; 马存明

doi:10.3969/j.issn.0258-2724.2013.06.003

大跨度桥梁颤振后状态气动稳定性

doi: 10.3969/j.issn.0258-2724.2013.06.003

基金项目:

国家自然科学基金资助项目（90815016,51308478）

中央高校基本科研业务费科技创新基金资助项目（2682013CX041）

详细信息

作者简介:
王骑（1980-），男，讲师，博士，研究方向为大跨度桥梁结构抗风与桥梁空气动力学，E-mail：wangchee_wind@swjtu.edu.cn

计量
- 文章访问数: 1072
- HTML全文浏览量: 79
- PDF下载量: 541
- 被引次数: 0
出版历程
- 收稿日期: 2012-12-10
- 刊出日期: 2013-12-25

Aerodynamic Stability of Long-Span Bridges in Post Flutter

摘要

摘要: 为了能对大跨度桥梁颤振后主梁的运动形式给出合理解释，选取大振幅下流线型箱梁断面的4种典型非线性气动力工况，基于非线性气动力和非线性振动微分方程，应用四阶龙格-库塔算法，分析了大跨度桥梁主梁在大振幅条件下的气动稳定性. 结果表明：大跨度桥梁主梁在颤振后的不同振幅和折算风速条件下可出现不同的运动形式；若气动力仅做负功或负功显著大于正功，主梁振动将收敛；若气动力仅做正功或正功显著大于负功，主梁振动将发散；若气动力做的正负功相当，主梁振动将由于结构阻尼缓慢收敛；若气动力正功与相同周期内结构消耗的能量相等，主梁将发生等幅振动；若不考虑气动力的非线性项，桥梁振动可能发散.
- 颤振后 /
- 非线性微分方程 /
- 四阶龙格-库塔算法 /
- 非线性气动稳定性
Abstract: To provide reasonable explanations for the motion types of girder in post flutter status of long-span bridges, the nonlinear aerodynamic stability of bridge girder was analyzed based on an existing nonlinear motion-induced aerodynamic force (MIAF) model and the nonlinear vibration differential equation, by using the 4th Runge-Kutta algorithm. Four typical MIAF cases of streamline box girder with large vibration amplitudes were taken into account in the analysis. The results show that different types of motions would occur to the girder of long-span bridge in post flutter under conditions of different amplitudes and reduced velocities. The vibration of bridge girder will converge when the aerodynamic work is negative only or the negative work is larger than the positive one. The divergent motion will occur when the aerodynamic work is positive only or the positive work is larger than the negative one. If the aerodynamic positive and negative work are well matched to each other, the girder vibration will converge slowly because of the structural damping. If the aerodynamic positive energy is equal to that consumed by structure in the same period, an equal-amplitude vibration will occur. The motion of bridge girder could diverge if ignoring the nonlinear items of the motion-induced aerodynamic force.
- post flutter /
- nonlinear differential equation /
- the 4-th Runge-Kutta algorithm /
- nonlinear aerodynamic stability

HTML全文

参考文献(35)

BHM V F. Berechnugn nichtlinearer aerodynamisch erregter schwingungen von Hangebrcken

[J]. Der Stahlbau, 1967, 7: 207-215.

STEINMANN D G. Hangebrcken-Das aerodynamicsche problem und seine lsung

PICCARDO G. A methodology for the study of coupled aeroelastic phenomena

XU Xu, CAO Zhiyuan. Linear and nonlinear aerodynamic theory of interaction between flexible structure and wind

[J]. Acier-Steel-Stahl, 1954, 19(10/11): 495-542.

CHEN Airong, MA Rujin. Self-excited force model and parameter identification for soft flutter

[J]. Journal of Wind Engineering and Industrial Aerodynamics, 1993, 48: 241-252.

Den HARTOG J P. Transmission line vibration due to sleet

Den HARTOG J P. Mechanical vibrations

PARKINSON G V, SMITH J D. The square prism as an aeroelastic nonlinear oscillator. Quart

[J]. Applied Mathematics and Mechanics, 2002, 22(12): 57-65.

NOVAK M, Aeroelastic galloping of prismatic bodies

[C]//Proceedings of the International Conference of Wind Engineering. Amsterdam:

DIANA G, RESTA F, ROCCHI F, et al. Aerodynamic hysteresis: wind tunnel tests and numerical implementation of a fully nonlinear model for the bridge aeroelastic forces

DIANA G, ROCCHI D, ARGENTINi T, et al. Aerodynamic instability of a bridge deck section model Linear and nonlinear approach to force modeling

[s.n.], 2011: 10-15

LIAO Haili, SUO Qifeng, WANG Qi, et al. Study on the empirical mathematical model of nonlinear motion-induced aerodynamic force of bridge girder

王骑, 廖海黎, 李明水, 等. 桥梁断面非线性自激气动力经验模型

[J]. Transaction of AIEE, 1932, 51(4): 1074-1086.

LIAO Haili, WANG Qi, LI Mingshui, et al. Aerodynamic hysteresis effects of thin airfoil and streamline box girder under large amplitude oscillation

王骑, 廖海黎, 李明水, 等. 大振幅条件下薄翼和流线型箱梁的气动迟滞特性研究

[M]. New York: Dover Publications, 1985: 299-305.

[J]. Journal of Mechanics Application and Mathematics, 1964, 17: 225-239.

[J]. ASCE Journal of Engineering Mechanism, 1969, 96: 115-142.

[C]//Proceedings of the 4th International Conference on Advance in Wind and Structural. Jeju:

[s.n.], 2008: 944-960.

[J]. Journal of Wind Engineering and Industrial Aerodynamics, 2010, 98: 363-374.

[C]//Proceedings of the BBAA 7. Shanghai:

[s.n.], 2012: Paper 033.

[J]. 西南交通大学学报, 2013, 48(2): 271-277. WANG Qi, LIAO Haili, LI Mingshui, et al. Empirical mathematical model of nonlinear motion-induced aerodynamic force of bridge girder

[J]. Journal of Southwest Jiaotong University, 2013, 48(2): 271-277.

[C]//Proceedings of the International Conference of Wind Engineering. Amsterdam:, 2011: Paper 539.

[J]. 实验流体力学, 2013, 21(1): 31-37. WANG Qi, LIAO Haili, LI Mingshui, et al. Aerodynamic hysteresis of thin airfoil and streamline box girder under large amplitude oscillation

[J]. Journal of Experiments in Fluid Mechanics, 2013, 21(1): 31-37.

施引文献

附加材料(0)

访问统计

点击查看大图

计量

文章访问数: 1072
HTML全文浏览量: 79
PDF下载量: 541
被引次数: 0

大跨度桥梁颤振后状态气动稳定性

doi: 10.3969/j.issn.0258-2724.2013.06.003

作者简介: 王骑（1980-），男，讲师，博士，研究方向为大跨度桥梁结构抗风与桥梁空气动力学，E-mail：wangchee_wind@swjtu.edu.cn

计量

出版历程

Aerodynamic Stability of Long-Span Bridges in Post Flutter

计量

出版历程

目录

作者简介:
王骑（1980-），男，讲师，博士，研究方向为大跨度桥梁结构抗风与桥梁空气动力学，E-mail：wangchee_wind@swjtu.edu.cn