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Earthquake Response of SDOF Bilinear Hysteretic System Under Forward-Directivity Input Modeled by Triple Impulse
After recent major seismic events, including the Northridge earthquake in 1994 and the Kobe earthquake in 1995, damage to building structures near earthquake source faults has been observed under pulse-like earthquake ground motions. The fault-normal component of near-fault earthquake ground motions is called a forward-directivity ground motion. The main part of this input can be represented mathematically by a Gabor wavelet, a Ricker wavelet or a one-and-a-half cycle sinusoidal wave. This paper employs a triple impulse input for modelling the forward-directivity ground motions, and the responses to such triple impulse are derived for the undamped single-degree-of-freedom (SDOF) bilinear hysteretic system. The energy balance law and the free-vibration response after each impulse lead to a simple derivation of the closed-form solutions of the inelastic responses to the triple impulse input with arbitrary time intervals between three impulses. Furthermore, the explicit solutions are derived for the maximum displacement to the critical triple impulse, which maximizes the displacement response. Then, the critical elastic–plastic response characteristics to the forward-directivity input are evaluated. The time intervals of the critical triple impulse correspond to the equivalent resonant period of the elastic–plastic system. The validity of the simple modelling of the forward-directivity input by the triple impulse is investigated by comparing the inelastic responses to the triple impulse with that to the one-and-a-half cycle sinusoidal wave and the Ricker wavelet.
Earthquake Response of SDOF Bilinear Hysteretic System Under Forward-Directivity Input Modeled by Triple Impulse
After recent major seismic events, including the Northridge earthquake in 1994 and the Kobe earthquake in 1995, damage to building structures near earthquake source faults has been observed under pulse-like earthquake ground motions. The fault-normal component of near-fault earthquake ground motions is called a forward-directivity ground motion. The main part of this input can be represented mathematically by a Gabor wavelet, a Ricker wavelet or a one-and-a-half cycle sinusoidal wave. This paper employs a triple impulse input for modelling the forward-directivity ground motions, and the responses to such triple impulse are derived for the undamped single-degree-of-freedom (SDOF) bilinear hysteretic system. The energy balance law and the free-vibration response after each impulse lead to a simple derivation of the closed-form solutions of the inelastic responses to the triple impulse input with arbitrary time intervals between three impulses. Furthermore, the explicit solutions are derived for the maximum displacement to the critical triple impulse, which maximizes the displacement response. Then, the critical elastic–plastic response characteristics to the forward-directivity input are evaluated. The time intervals of the critical triple impulse correspond to the equivalent resonant period of the elastic–plastic system. The validity of the simple modelling of the forward-directivity input by the triple impulse is investigated by comparing the inelastic responses to the triple impulse with that to the one-and-a-half cycle sinusoidal wave and the Ricker wavelet.
Earthquake Response of SDOF Bilinear Hysteretic System Under Forward-Directivity Input Modeled by Triple Impulse
Lecture Notes in Civil Engineering
Chouw, Nawawi (editor) / Zhang, Chunwei (editor) / Kojima, K. (author) / Takewaki, I. (author)
Australasian Conference on the Mechanics of Structures and Materials ; 2023 ; Auckland, New Zealand
Proceedings of the 26th Australasian Conference on the Mechanics of Structures and Materials ; Chapter: 54 ; 629-639
2024-09-03
11 pages
Article/Chapter (Book)
Electronic Resource
English
Reliability of Bilinear SDOF Systems Subjected to Earthquake Loading
| British Library Conference Proceedings | 2006
Reliability Of Bilinear SDOF Systems Subjected to Earthquake Loading
| Springer Verlag | 2006
| British Library Online Contents | 2017