Noise Reduction Process and Detection Accuracy in Non-Linearity Detection Method in Vibrational Systems Using the Second Time Derivative of the Absolute Acceleration

Wakui, Masaki; Iyama, Jun

doi:10.3130/aijs.81.1799

Cited by 3 publications

(3 citation statements)

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“…The following relation was previously proposed as the upper limit of the sampling time interval:

Δ t \leq \frac{1}{12} T

in order to take at least three analysis steps during a quarter cycle of vibration. Therefore, T should be the actual vibration period, which may be different from the natural period.…”

Section: Nonlinearity Detection Methods Based On Snapmentioning

confidence: 99%

“…The following relation was previously proposed as the upper limit of the sampling time interval 19 :…”

Section: Upper Limit Of the Sampling Time Intervalmentioning

confidence: 99%

“…A nonlinearity detection method proposed by Wakui et al and Wakui and Iyama demonstrated a strong correlation between the second derivative of acceleration and the stiffness change of a vibration system, allowing for the threshold values to be determined by their proposed equations. By calculating the second derivative of the response accelerograms obtained by shaking table tests of steel connections and steel frames, they showed that the second derivative of the recorded acceleration can be captured when the stiffness sharply changes.…”

Section: Introductionmentioning

confidence: 99%

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Threshold value and applicable range of nonlinear behavior detection method using second derivative of acceleration

Iyama

Wakui

2019

Japan Architectural Review

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A previously proposed nonlinearity detection method using the second derivative “snap” of the recorded absolute acceleration requires the determination of a threshold value based on the yield strength of the target vibration system, which may not be known. Therefore, this study aims to extend this detection method by determining the mathematical relation between the snap and stiffness change and velocity of the vibration system; the results indicate that the threshold value required to detect nonlinearities can be explicitly expressed by mathematical equations. Although the accuracy of this detection method is affected by the intensity of noise and the time intervals of the acceleration records, the introduced mathematical model can both explain these effects and allow the user to decide a priori whether this method can be used to detect nonlinearities. Furthermore, the proposed mathematical model for nonlinearity detection was verified by dynamic response analysis with varying natural periods, showing that the detectable range estimated by the model agreed with the range where the accuracy of nonlinearity detection by snap increases.

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“…The following relation was previously proposed as the upper limit of the sampling time interval:

Δ t \leq \frac{1}{12} T

in order to take at least three analysis steps during a quarter cycle of vibration. Therefore, T should be the actual vibration period, which may be different from the natural period.…”

Section: Nonlinearity Detection Methods Based On Snapmentioning

confidence: 99%

“…The following relation was previously proposed as the upper limit of the sampling time interval 19 :…”

Section: Upper Limit Of the Sampling Time Intervalmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Threshold value and applicable range of nonlinear behavior detection method using second derivative of acceleration

Iyama

Wakui

2019

Japan Architectural Review

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Long-Term Earthquake Response Monitoring of Nineteenth-Century Timber Temple Kencho-ji, Japan

Fujita

Chiba

2022

International Journal of Architectural Heritage

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Jerk in Earthquake Engineering: State-of-the-Art

Vukobratović

Ruggieri

2022

Buildings

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The time derivative of acceleration, termed jerk, represents a physical property reflected through a sudden change of acceleration, and is expressed in m/s3. Since jerk is felt by humans, it has been widely used as a common (dis)comfort parameter. In earthquake engineering, due to the inevitable need for further progress in understanding ground motions and soil, structural and non-structural responses, new frontiers need to be examined. Therefore, lately, there has been an increasing interest in jerk, and various research efforts have been made towards its applications. Since a proper overview of the jerk-related literature applicable to earthquake engineering is missing, the main purpose of this paper is to fill the gap and provide a starting point for future studies.

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Noise Reduction Process and Detection Accuracy in Non-Linearity Detection Method in Vibrational Systems Using the Second Time Derivative of the Absolute Acceleration

Cited by 3 publications

References 0 publications

Threshold value and applicable range of nonlinear behavior detection method using second derivative of acceleration

Threshold value and applicable range of nonlinear behavior detection method using second derivative of acceleration

Long-Term Earthquake Response Monitoring of Nineteenth-Century Timber Temple Kencho-ji, Japan

Jerk in Earthquake Engineering: State-of-the-Art

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