The time-varying modal information of a cable-stayed bridge: Some consideration for SHM

Li, Yixian; Zhu, Ledong; Cheng, Qian; Jian, Xudong; Sun, Lijun

doi:10.1016/j.engstruct.2020.111835

Cited by 5 publications

(3 citation statements)

References 21 publications

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“…As per the theory of structural dynamics, the motion equation of the many-degree-of-freedom system is as follows 15 :…”

Section: Mechanism Of Eocsmentioning

confidence: 99%

“…As per the theory of structural dynamics, the motion equation of the many‐degree‐of‐freedom system is as follows 15 :

boldM \overset{z}{true} ((), t) goodbreak+ boldC \overset{z}{true} ((), t) goodbreak+ boldKz ((), t) goodbreak= boldF ((), t)

where

boldM

boldC

, and

boldK

are the mass, damping, and stiffness matrices, respectively;

\overset{z}{true} ((), t)

\overset{z}{true} ((), t)

, and

boldz ((), t)

are the acceleration, velocity, and displacement vectors, respectively; and

F_{b} ((), t)

is the force vector acting on structures, which can be considered white noise excited by environmental fields. Thus, the frequency equation of systems can be derived using the undamped free vibration equation.…”

Section: Mechanism Of Eocsmentioning

confidence: 99%

See 1 more Smart Citation

Eliminating environmental and operational effects on structural modal frequency: A comprehensive review

Wang

Yang

et al. 2022

Structural Contr & Hlth

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Modal frequencies are widely used for vibration-based structural health monitoring (SHM) and for capturing the dynamics of a monitored structure to reveal possible failures. However, changing environmental and operational conditions (i.e., temperature, humidity, wind load, and traffic load) may submerge the modal variability induced by structural damage, thereby falsely identifying damage of interest. This paper presents a comprehensive summary review of SHM for the prediction of modal frequency and the elimination of environment-induced masking effects based on the data normalization method. The influence mechanisms of external variations on modal frequencies extensively reported in the literature are first described. Next, the research progress in predicting and eliminating the operational modal variability is reviewed emphatically; this progress can be primarily divided into an inputoutput method that focuses on the establishment of the relationship model between structural frequency and environmental conditions and an outputonly method that separates the embedded environmental variable-induced changes depending on whether the environmental measurements are measured. Finally, the conclusions and future studies are summarized and discussed. As an overview, the major contribution of this paper is to provide objective technical references for engineers and owners and to further evaluate structural safety conditions more effectively and in a timely manner.

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“…As per the theory of structural dynamics, the motion equation of the many-degree-of-freedom system is as follows 15 :…”

Section: Mechanism Of Eocsmentioning

confidence: 99%

“…As per the theory of structural dynamics, the motion equation of the many‐degree‐of‐freedom system is as follows 15 :

boldM \overset{z}{true} ((), t) goodbreak+ boldC \overset{z}{true} ((), t) goodbreak+ boldKz ((), t) goodbreak= boldF ((), t)

where

boldM

boldC

, and

boldK

are the mass, damping, and stiffness matrices, respectively;

\overset{z}{true} ((), t)

\overset{z}{true} ((), t)

, and

boldz ((), t)

are the acceleration, velocity, and displacement vectors, respectively; and

F_{b} ((), t)

Section: Mechanism Of Eocsmentioning

confidence: 99%

Eliminating environmental and operational effects on structural modal frequency: A comprehensive review

Wang

Yang

et al. 2022

Structural Contr & Hlth

View full text Add to dashboard Cite

show abstract

“…The Kaimal spectrum is often used to model the effect of wind load for offshore structures, tall buildings, cable stayed bridges, transmission towers etc. (Ankireddi and Yang 1996; IEC 2005; Det 2013; Tian and Gai 2015; Li et al, 2021). Since the function of the Kaimal spectrum usually contains fractional power of excitation frequency, the use of the H 2 optimization technique to estimate closed-form expression of the objective function can sometimes be arduous (Colwell and Basu 2009).…”

Section: Introductionmentioning

confidence: 99%

Kaimal spectrum based H2 optimization of tuned mass dampers for wind turbines

Patro

Banerjee

Adhikari

et al. 2022

Journal of Vibration and Control

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The closed-form analytical expression of the objective function of a single degree of freedom system with the tuned mass damper, subjected to Gaussian white noise and Kaimal forcing spectrum, is derived implementing the H2 optimization technique. To illustrate the procedure, a wind turbine tower with and without the tuned mass damper, subjected to wind load, has been presented. The Kaimal spectrum has been considered to model the effects of wind load. Usually, the parameters of the tuned mass damper is optimized by implementing the H2 optimization technique on Gaussian white noise even though the system is subject to any other forcing spectrum. Obtaining an analytical closed-form expression of the objective function for a tuned mass damper system considering a real spectrum is very challenging as a real spectrum may contain fractional order of the frequency. Therefore, either objective function can be obtained numerically or an analytical form can be obtained but only for Gaussian white noise as an input forcing spectrum. To address the above-mentioned issue, in this paper, the concept of near identity spectrum is introduced to idealize the Kaimal spectrum with high accuracy from which a closed-form expression of the objective function can be established. Further, histogram plots of the response reduction have been made to show a comparison between the tuned mass damper system optimized with Gaussian white noise and the Kaimal spectrum. The results showed that the displacement response of the tuned mass damper system subjected to the Kaimal spectrum yields better performance if it is optimized according to the Kaimal spectrum rather than Gaussian white noise and vice versa.

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Data set from wind, temperature, humidity and cable acceleration monitoring of the Jiashao bridge

Ding

Guo³

2022

J Civil Struct Health Monit

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The time-varying modal information of a cable-stayed bridge: Some consideration for SHM

Cited by 5 publications

References 21 publications

Eliminating environmental and operational effects on structural modal frequency: A comprehensive review

Eliminating environmental and operational effects on structural modal frequency: A comprehensive review

Kaimal spectrum based H2 optimization of tuned mass dampers for wind turbines

Data set from wind, temperature, humidity and cable acceleration monitoring of the Jiashao bridge

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