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Article

Time-Frequency Energy Distribution of Ground Motion and Its Effect on the Dynamic Response of Nonlinear Structures

by 1,2, 3 and 3,*
1
Institute of Engineering Mechanics, China Earthquake Administration, Harbin 150080, China
2
Key Laboratory of Earthquake Engineering and Engineering Vibration, China Earthquake Administration, Harbin 150080, China
3
Research Institute of Structural Engineering and Disaster Reduction, Tongji University, Shanghai 200092, China
*
Author to whom correspondence should be addressed.
Sustainability 2019, 11(3), 702; https://doi.org/10.3390/su11030702
Received: 28 December 2018 / Revised: 23 January 2019 / Accepted: 24 January 2019 / Published: 29 January 2019
The ground motion characteristics are essential for understanding the structural seismic response. In this paper, the time-frequency analytical method is used to analyze the time-frequency energy distribution of ground motion, and its effect on the dynamic response of nonlinear structure is studied and discussed. The time-frequency energy distribution of ground motion is obtained by the matching pursuit decomposition algorithm, which not only effectively reflects the energy distribution of different frequency components in time, but also reflects the main frequency components existing near the peak ground acceleration occurrence time. A series of artificial ground motions with the same peak ground acceleration, Fourier amplitude spectrum, and duration are generated and chosen as the earthquake input of the structural response. By analyzing the response of the elasto-perfectly-plastic structure excited by artificial seismic waves, it can be found that the time-frequency energy distribution has a great influence on the structural ductility. Especially if there are even multiple frequency components in the same ground motion phrase, the plastic deformation of the elasto-perfectly-plastic structure will continuously accumulate in a certain direction, resulting in a large nonlinear displacement. This paper reveals that the time-frequency energy distribution of a strong ground motion has a vital influence on the structural response. View Full-Text
Keywords: ground motion; matching pursuit decomposition; time-frequency energy distribution; ratcheting effect; nonlinear response ground motion; matching pursuit decomposition; time-frequency energy distribution; ratcheting effect; nonlinear response
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MDPI and ACS Style

Tao, D.; Lin, J.; Lu, Z. Time-Frequency Energy Distribution of Ground Motion and Its Effect on the Dynamic Response of Nonlinear Structures. Sustainability 2019, 11, 702. https://doi.org/10.3390/su11030702

AMA Style

Tao D, Lin J, Lu Z. Time-Frequency Energy Distribution of Ground Motion and Its Effect on the Dynamic Response of Nonlinear Structures. Sustainability. 2019; 11(3):702. https://doi.org/10.3390/su11030702

Chicago/Turabian Style

Tao, Dongwang, Jiali Lin, and Zheng Lu. 2019. "Time-Frequency Energy Distribution of Ground Motion and Its Effect on the Dynamic Response of Nonlinear Structures" Sustainability 11, no. 3: 702. https://doi.org/10.3390/su11030702

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