基于改进T-B谱方法的高层建筑风致疲劳损伤分析

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振动与冲击 ›› 2022, Vol. 41 ›› Issue (5) : 243-250.

论文

黄国庆1，范宇航1，姜言2

作者信息 +

Wind-induced fatigue damage evaluation of tall buildings based on improved T-B spectrum method

HUANG Guoqing1, FAN Yuhang1, JIANG Yan2

Author information +

文章历史 +

摘要

疲劳损伤评估方法（包括时域法和频域法）是结构耐久性设计的重要内容，提高其评估精度和效率具有重要的工程意义。相比时域法而言，频域法计算简便且高效，但精度较低。本研究利用频域Tovo-Benasciutti谱方法（T-B谱方法），并结合高层建筑风致疲劳分析，提出了基于T-B谱方法关键参数包络值的改进方法。首先，以高层建筑顺风向、横风向以及耦合风振疲劳损伤为研究对象，并以时域雨流法为基准，评价了原有两种T-B谱方法的计算精度；其次，基于该方法关键参数的分析结果，利用数值模拟，确定了该参数的包络值；最后，基于该包络值提出了改进的T-B谱方法，同时验证了其有效性。研究结果表明：随着反映材料疲劳特性曲线（S-N曲线）的斜率参数m增加，时域雨流法和原有频域T-B谱方法的误差逐渐增大；相比原有T-B谱方法，改进的方法具有较高的预测精度，以横风向疲劳损伤（m=3）为例，其平均误差降低程度分别为77.49%和55.38%。

Abstract

Fatigue damage assessment methods (including the time domain method and frequency domain method) are the critical content of structural durability design, and thus the improvement of their accuracy and efficiency has important engineering significance. Compared with the time domain method, the frequency domain method is simple and efficient in calculation, but its accuracy is lower. Based on the spectrum method proposed by Tovo-Benasciutti (T-B spectrum method) and wind-induced fatigue damage evaluation of tall buildings, an improved T-B spectrum method in conjunction with the envelope value of its key parameter is developed in this paper. Firstly, the original two T-B spectrum methods are evaluated by taking the wind-induced fatigue caused by alongwind, crosswind and their coupled responses of tall buildings into consideration, where the rain-flow counting method is regarded as reference model. Then, based on the analysis results of the key parameter, the envelope value of this parameter is given by numerical simulation. Finally, an improved T-B spectrum method is developed by this envelope value, and its validity is verified. The result shows that with the increase of slope parameter of material fatigue curve (i.e., the parameter m in S-N curve), the errors between rain-flow counting method and the original T-B spectrum methods augment gradually; the improved method has higher accuracy in comparison with the original T-B spectrum methods. Taking the results of crosswind fatigue response (m=3) as an example, the reductions by the improved method in terms of the average errors are 77.49% and 55.38%, respectively.

导出引用

黄国庆1，范宇航1，姜言2. 基于改进T-B谱方法的高层建筑风致疲劳损伤分析[J]. 振动与冲击, 2022, 41(5): 243-250

HUANG Guoqing1, FAN Yuhang1, JIANG Yan2. Wind-induced fatigue damage evaluation of tall buildings based on improved T-B spectrum method[J]. Journal of Vibration and Shock, 2022, 41(5): 243-250

参考文献

[1] Huang G, Chen X. Wind load effects and equivalent static wind loads of tall buildings based on synchronous pressure measurements [J]. Engineering Structures, 2007, 29(10): 2641-2653.
[2] 曾春华,邹十践.疲劳分析方法及应用[M].国防工业出版社,1991.
Zeng Chunhua, Zou shijian. Fatigue analysis method and application [M].National Defense Industry Press, 1991. (in Chinese)
[3] 韩庆华,叶菲,徐杰.随机疲劳在土木工程中的研究综述[J].天津大学学报(自然科学与工程技术版),2016, 49(S1):143-151.
Han Qinghua, Ye Fei，Xu Jie. Review of random fatigue research in civil engineering [J].Journal of Tianjin University(Science and Technology), 2016,49(S1):143- 151. (in Chinese)
[4] Matsuishi M, Endo T. Fatigue of metals subjected to varying stress [J]. Japan Society of Mechanical Engineers, Fukuoka, Japan, 1968, 68(2): 37-40.
[5] Nagode M, Fajdiga M. A general multi-modal probability density function suitable for the rainflow ranges of stationary random processes [J]. International Journal of Fatigue, 1998, 20(3): 211-223.
[6] 邓洪洲, 屠海明, 王肇民. 桅杆结构随机风振疲劳研究[J]. 土木工程学报, 2003, 36(4):19-23.
Deng Hongzhou, Tu Haiming, Wang Zhaomin. Study on stochastic fatigue of guyed masts under wind load [J]. China Civil Engineering Journal, 2003, 36(4):19-23. (in Chinese)
[7] Wirsching P H, Light M C. Fatigue under wide band random stresses [J]. Journal of the Structural Division, 1980, 106(7): 1593-1607.
[8] Chow C L, Li D L. An analytical solution for fast fatigue assessment under wide-band random loading [J]. International journal of fatigue, 1991, 13(5): 395-404.]
[9] Dirlik T. Application of computers in fatigue analysis [D]. University of Warwick, 1985.
[10] Zhao W, Baker M J. On the probability density function of rainflow stress range for stationary Gaussian processes [J]. International Journal of Fatigue, 1992, 14(2): 121-135.
[11] Benasciutti D, Tovo R. Spectral methods for lifetime prediction under wide-band stationary random processes [J]. International Journal of fatigue, 2005, 27(8): 867-877.
[12] Ding J, Chen X. Fatigue damage evaluation of broad-band Gaussian and non-Gaussian wind load effects by a spectral method [J]. Probabilistic Engineering Mechanics, 2015, 41: 139-154.
[13] 王世村. 高耸结构风振响应和风振疲劳研究[D]. 浙江大学博士学位论文. 2005.
Wang Shicun. Studies of Wind-induced Vibration and Wind-induced Fatigue on Figh-rise Structures [D]. Zhejiang University, 2005. (in Chinese)
[14] 查小鹏. 高耸结构风致疲劳安全预警的理论和方法[D]. 武汉理工大学, 2008.
Cha Xiaopeng. Theory and Method of Wind-Induced Fatigue Safety Prewarning for High-Rise Structures [D]. Wuhan University of Technology, 2008. (in Chinese)
[15] Miner M, Cumulative damage in fatigue, Trans ASME,1945, 67: A159.
[16] H.O. Madsen, S. Krenk, N.C. Lind, Methods of Structural Safety, Prentice-Hall, Englewood Cliffs, NJ, 1986.
[17] Architectural Institute of Japan, AIJ Recommendations for Load on Buildings [M], AIJ, Tokyo, 2004.
[18] 彭鲲. 波形钢腹板组合梁疲劳性能的试验和理论研究[D].湖南大学,2018.
Peng Kun. Experimental and theoretical study on the fatigue performance of composite girders with corrugated steel webs[D]. Hunan University, 2018. (in Chinese)
[19] AASHTO LRFD SI 2010, AASHTO LRFD Bridge Design Specifications, 2010, 6.29–6.48
[20] 姜言. 基于T-B谱方法的风致疲劳分析以及在桥梁主梁抖振疲劳中的应用[D].西南交通大学,2019.
Jiang Yan. Wind Induced Fatigue Analysis Using T-B Spectrum Method and Its Application on Buffeting Fatigue of Bridge Girder [D]. Southwest Jiaotong University, 2019. (in Chinese)