[1]郑恒斌,颜全胜,王卫锋,等.大跨度桥梁各态历经脉动风场的数值模拟分析[J].深圳大学学报理工版,2012,29(No.5(377-470)):432-437.[doi:10.3724/SP.J.1249.2012.05432]
 ZHENG Heng-bin,YAN Quan-sheng,WANG Wei-feng,et al.Numerical study on ergodic fluctuating wind field of long-span bridge[J].Journal of Shenzhen University Science and Engineering,2012,29(No.5(377-470)):432-437.[doi:10.3724/SP.J.1249.2012.05432]
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大跨度桥梁各态历经脉动风场的数值模拟分析()
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《深圳大学学报理工版》[ISSN:1000-2618/CN:44-1401/N]

卷:
第29卷
期数:
2012年No.5(377-470)
页码:
432-437
栏目:
土木建筑工程
出版日期:
2012-09-21

文章信息/Info

Title:
Numerical study on ergodic fluctuating wind field of long-span bridge
作者:
郑恒斌1颜全胜12王卫锋12吴杰1
1) 华南理工大学土木与交通学院,广州 510640
2)华南理工大学 亚热带建筑科学国家重点实验室,广州 510640
Author(s):
ZHENG Heng-bin1 YAN Quan-sheng12 WANG Wei-feng12 and WU Jie1
1) School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510640, P.R.China
2) State Key Laboratory of Subtropical Building Science, South China University of Technology, Guangzhou 510640, P.R.China
关键词:
大跨度桥梁 脉动风场 本征正交分解 互功率谱密度矩阵 随机模拟 各态历经性 合成速度
Keywords:
long-span bridge wind field proper orthogonal decomposition (POD) cross-power spectrum matrix stochastic simulation ergodic resultant velocity
分类号:
U 441.2
DOI:
10.3724/SP.J.1249.2012.05432
文献标志码:
A
摘要:
基于本征正交分解(proper orthogonal decomposition, POD)的谱表示法,结合大跨度桥梁脉动风场的特点,推导出一种以互谱密度矩阵为POD对象的脉动风场模拟简化公式.采用以能量评判为准则的误差精确公式,对特征值合理截断阶数进行估计.引入双索引频率,实现了模拟样本的各态历经性.采用快速傅里叶变换(fast Fourier transform, FFT)对算法加速,给出了简化模拟公式在FFT算法下的具体表达式,便于程序编制.利用该法模拟了一座大跨度铁路连续刚构桥的主梁脉动风场,所得样本自功率谱和互功率谱均与目标谱吻合良好,验证了该方法的有效性和正确性.对算法的合成速度进行了分析,指出控制算法速度的关键在于矩阵的正交分解.
Abstract:
On the basis of the spectral representation method with proper orthogonal decomposition(POD), considering the features of fluctuating wind field of long-span bridges, a reduction simulated formula of fluctuating wind field, which considered the cross-spectral density matrix as the POD object, was deduced. The equation of end error calculation based on the energy criterion was adopted to estimate the rational truncation item number of eigenvalues. And by introducing the double-indexing of the frequencies, the simulation of ergodic time domain series was achieved. Also, the Fast Fourier Transform was adopted to improve calculation efficiency, and the improved formula based on the Fast Fourier Transform was deduced in order to program expediently. In addition, the algorithm was applied to simulate the beam stochastic wind field of a long-span railway continuous rigid frame bridge. The auto-power spectral density and cross-power spectral density of the simulated time domain samples show good agreement with target spectrum, which can verify the effectiveness and correctness of the algorithm. Finally, the algorithm resultant velocity of wind field was analyzed. Results indicate that the key point of influencing the algorithm calculation efficiency is the POD velocity of matrix.

参考文献/References:

[1] ZHANG Xi-qian, GE Yong, YAN Chun-feng, et al. The research and development of fluctuating wind field simulation technology[J]. Earthquake Engineering and Engineering Vibration, 2008, 28(6): 206-211.(in Chinese)
张希黔,葛勇,严春风,等. 脉动风场模拟技术的研究与进展[J]. 地震工程与工程振动, 2008,28(6): 206-211.
[2] CAO Ying-hong, XIANG Hai-fan, ZHOU Ying. Random simulation of wind turbulence field for a long-span bridge[J]. China Civil Engineering Journal, 1998,31(3):72-79.(in Chinese)
曹映泓,项海帆,周颖.大跨度桥梁随机风场的模拟[J].土木工程学报, 1998,31(3): 72-79.
[3] Shinozuka M, Deodatis G. Simulation of stochastic processes by spectral representation [J]. Applied Mechanics Reviews,1991,44(4):191-203.
[4] Deodatis G. Simulation of ergodic multivariate stochastic processes[J]. Journal of Engineering Mechanics, 1996,122(8):778.
[5] DING Shun-quan, CHEN Ai-rong, XIANG Hai-fan. Simulation of spatial fluctuating wind field on long span bridges [J]. Chinese Quarterly of Mechanics, 2006,27(2):184-189.(in Chinese)
丁顺泉,陈艾荣,项海帆. 大跨度桥梁空间脉动风场的计算机模拟[J].力学季刊,2006,27(2):184-189.
[6] LUO Jun-jie, HAN Da-jian. A fast simulation method of stochastic wind fileld for long-span structures[J]. Engineering Mechanics, 2008, 25(3):96-101.(in Chinese)
罗俊杰,韩大建.大跨度结构随机脉动风场的快速模拟方法[J].工程力学, 2008, 25(3):96-101.
[7] LUO Jun-jie, HAN Da-jian. Simulation method for 3-D stochastic wind field around long-span structures[J]. Journal of Vibration and Shock, 2008,27(3):87-91.(in Chinese)
罗俊杰,韩大建.大跨度结构三维随机脉动风场的模拟方法[J].振动与冲击,2008,27(3):87-91.
[8] Chen X, Kareem A. Proper orthogonal decomposition-based modeling, analysis, and simulation of dynamic wind load effects on structures [J]. Journal of Engineering Mechanics, 2005,131(4):325-339.
[9] Hu Liang, Li Li, Fan Jian,et al. Coherency matrix-based proper orthogonal decomposition with application to wind field simulation[J]. Earthquake Engineering and Engineering Vibration, 2006,5(2):267-272.
[10] HU Liang, LI Li, FAN Jian. Digital simulation of bridge wind fields based on spectral representation method with proper orthogonal[J]. Journal of Wuhan University of Technology Transportation Science and Engineering, 2008, 32(1):16-19.(in Chinese)
胡亮,李黎,樊剑.基于特征正交分解的桥梁风场模拟[J].武汉理工大学学报交通科学与工程版,2008,32(1):16-19.
[11] HU Liang, LI Li, FAN Jian, et al. Simulation of ergodic wind field using proper orthogonal decomposition-based spectral representation method[J]. Journal of Vibration Engineering, 2008, 21(2):185-190.(in Chinese)
胡亮,李黎,樊剑,等.用特征正交分解对各态历经风场的模拟研究[J].振动工程学报,2008,21(2):185-190.
[12] LI Li, HU Liang, FAN Jian, et al. Wind field simulation for bridges with wind passage effects by using spectral representation method based on proper orthogonal decomposition (POD)[J]. Journal of Vibration and Shock, 2007,26(5):14-18.(in Chinese)
李黎,胡亮,樊剑,等.具有桥塔风效应的桥梁风场数值模拟[J].振动与冲击,2007,26(5):14-18.
[13] HU Liang, GU Ming, LI Li. Errors produced with proper orthogonal decomposition-based spectral representation method in wind velocity field simulation[J]. Journal of Vibration and Shock, 2011,30(4):12-20.(in Chinese)
胡亮,顾明,李黎.基于本征正交分解的谱表示法模拟风场的误差[J].振动与冲击,2011,30(4):12-20.
[14] Di Paola M. Digital simulation of wind field velocity[J]. Journal of Wind Engineering and Industrial Aerodynamics, 1998,74-76(1):91-109.
[15] ZOU Xiao-jiang. Wind Induced Vibration Analysis in Time Domain and Aerostatic Stability Study for Cable-stayed Bridge[D]. Guangzhou: South China University and Technology, 2003: 26-27.(in Chinese)
邹小江.斜拉桥风振响应时域分析及静风稳定性研究[D].广州: 华南理工大学,2003: 26-27.
[16] JTG/T D60-O1-2004. Wind-resistant Design Code for Highway Bridges [S].(in Chinese)
JTG/T D60-O1-2004. 公路桥梁抗风设计规范[S].
[17] Simu E, Scanlan R H. Wind Effects on Structures[M]. New York: John Wiley & Sons, 1986.

备注/Memo

备注/Memo:
Received:2012-04-11;Accepted:2012-07-30
Foundation:National Natural Science Foundation of China(50278037); Guangdong Communication Department Technology Foundation (2010-02-15)
Corresponding author:Professor YAN Quan-sheng. E-mail: cvqshyan@scut.edu.cn
Citation:ZHENG Heng-bin, YAN Quan-sheng, WANG Wei-feng,et al. Numerical study on ergodic fluctuating wind field of long-span bridge[J]. Journal of Shenzhen University Science and Engineering, 2012, 29(5): 432-437.(in Chinese)
基金项目:国家自然科学基金资助项目(50278037);广东省交通运输厅科技资助项目(2010-02-15)
作者简介:郑恒斌(1984-),男(汉族),华南理工大学博士研究生. E-mail: hbzh1984@126.com
引文:郑恒斌,颜全胜,王卫锋,等. 大跨度桥梁各态历经脉动风场的数值模拟分析[J]. 深圳大学学报理工版,2012,29(5):432-437.
更新日期/Last Update: 2012-09-26