Nonlinear Damage Identification of Transmission Towers Based on AR/ARCH Model Conversion Distance and Its Experimental Research

FENG Heng; GAO Bin; GUO Huiyong

doi:10.13204/j.gyjzG21071316

Volume 52 Issue 8

Aug. 2022

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FENG Heng, GAO Bin, GUO Huiyong. Nonlinear Damage Identification of Transmission Towers Based on AR/ARCH Model Conversion Distance and Its Experimental Research[J]. INDUSTRIAL CONSTRUCTION, 2022, 52(8): 57-63. doi: 10.13204/j.gyjzG21071316

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FENG Heng, GAO Bin, GUO Huiyong. Nonlinear Damage Identification of Transmission Towers Based on AR/ARCH Model Conversion Distance and Its Experimental Research[J]. INDUSTRIAL CONSTRUCTION, 2022, 52(8): 57-63. doi: 10.13204/j.gyjzG21071316

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Nonlinear Damage Identification of Transmission Towers Based on AR/ARCH Model Conversion Distance and Its Experimental Research

doi: 10.13204/j.gyjzG21071316

FENG Heng¹,
GAO Bin¹,
GUO Huiyong^{2
,
,}

1. Central Southern China Electric Power Design Institute of China Power Engineering Consulting Group Corporation, Wuhan 430071, China;
2. School of Civil Engineering, Chongqing University, Chongqing 400045, China

Received Date: 2021-07-13
Available Online: 2022-12-01

Abstract

Abstract

The safety of engineering steel structures such as transmission towers is often affected by cracks and other damages. Such damages often exhibit nonlinear characteristics of variable stiffness in structural vibration. In order to solve this kind of nonlinear damage detection problem, a nonlinear damage identification method based on AR/ARCH model conversion distance was presented. Firstly, the basic theory of AR/ARCH hybrid model was described, and the order determination and parameter estimation methods of modeling were given. Then, the time-varying stiffness characteristics of nonlinear damage were described, and the nonlinear damage identification strategy based on second-order variance index was given. On this basis, the relations between AR/ARCH model residual and condition variance and nonlinear damage was analyzed, and a conversion distance index based on AR/ARCH model was proposed. Finally, the related experimental research was carried out, and the three-layer frame experiment was used to verify the effectiveness of the index, and the damage identification experiment of the transmission tower model was also conducted. The experimental and calculation results showed that the conversion distance index based on AR/ARCH model was obviously superior to the traditional second-order variance index, and it had stronger nonlinear damage identification capability and reliability.
- transmission tower,
- damage identification,
- AR/ARCH model,
- nonlinearity,
- second-order variance

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References(14)

References

[1]	钟岱辉,李荣帅,王文明. 输电塔线体系灾变机理研究综述[J]. 四川建筑科学研究, 2020, 46(3): 37-45.
[2]	张卓群,李宏男,李士锋,等. 输电塔-线体系灾变分析与安全评估综述[J]. 土木工程学报, 2016, 49(2): 75-88.
[3]	瞿伟廉, 秦文科. 输电塔法兰联结节点螺栓松动损伤诊断改进的模糊模式识别方法[J]. 地震工程与工程振动, 2006, 26(6):138-143.
[4]	屈成忠, 连旭伟. 基于HHT的输电塔结构损伤识别研究[J]. 华东电力, 2010(11): 1750-1752.
[5]	刘纲, 杨溥, 秦阳,等. 酒杯型输电塔损伤定位的识别方法[J]. 振动测试与诊断, 2012, 32(3): 471-476.
[6]	XU Y L, LIN J F, ZHAN S, et al. Multistage damage detection of a transmission tower: numerical investigation and experimental validation[J]. Structural Control and Health Monitoring, 2019, 26(8): 1-33.
[7]	LI Y C, JIANG R N, TAPIA J, et al. Structural damage identification based on short-time temporal coherence using free-vibration response signals[J]. Measurement, 2020, 151. DOI: 10.1016/j.measurement.2019.107209.
[8]	GUO H Y, ZHOU R, ZHANG F. Structural nonlinear damage detection using improved Dempster-Shafer theory and time domain model[J]. Journal of Vibroengineering, 2019, 21(6): 1679-1693.
[9]	REBILLAT M, HAJRYA R, MECHBAL N. Nonlinear structural damage detection based on cascade of Hammerstein models[J]. Mechanical Systems and Signal Processing, 2014, 48(1/2): 247-259.
[10]	YU L, ZHU J H. Nonlinear damage detection using higher statistical moments of structural responses[J]. Structural Engineering and Mechanics, 2015, 54(2): 221-237.
[11]	CHENG J J, GUO H Y, WANG Y S. Structural nonlinear damage detection method using AR/ARCH model[J]. International Journal of Structural Stability and Dynamics, 2017, 17(8). DOI: 10.1142/S0219455417500833.
[12]	GIACOMETTI R, BERTOCCHI M, RACHEV S T, et al. A comparison of the Lee-Carter model and AR-ARCH model for forecasting mortality rates[J]. Insurance: Mathematics and Economics, 2012, 50(1): 85-93.
[13]	CHEONG C W. Modeling and forecasting crude oil markets using ARCH-type models[J]. Energy Policy, 2009, 37(6): 2346-2355.
[14]	耿海璇,张济民. 基于Yule-Walker AR方法的振动信号除噪研究[J]. 机电一体化, 2016, 22(1): 34-37.