Abstract
In this paper, the scaling equation between the pseudo velocity response spectrum and the energy spectrum is proposed. Utilizing random vibration theory, the maximum response of SDOF is given as the function of power spectrum density of main part of earthquake motion. Whereas, energy spectrum is equal to Fourier amplitude spectrum smoothed by spectral window, which is clearly pointed out by Kuwamura, et al. Finally, the equation between response spectrum and energy spectrum is derived, by making connection between Fourier amplitude spectrum and power spectrum density considering the nonstationarity of earthquake motion. The proposed equation is verified not only using the artificial earthquake motions but also using the observed strong ground motions of both interplate earthquakes and inland crustal earthquakes. The equation between the peak ground acceleration/velocity and response spectrum is also proposed, which is the application of the method shown in this paper.
| Original language | English |
|---|---|
| Pages (from-to) | 477-486 |
| Number of pages | 10 |
| Journal | Journal of Structural and Construction Engineering |
| Volume | 74 |
| Issue number | 637 |
| DOIs | |
| Publication status | Published - 2009 Mar |
| Externally published | Yes |
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Keywords
- Duration Time of Main Earthquake Motion
- Energy Spectrum
- Magnitude
- Nonstationarity
- Response Spectrum
ASJC Scopus subject areas
- Building and Construction
- Architecture
Cite this
Scaling equation between response spectrum and energy spectrum. / Okano, Hajime; Nagano, Masayuki; Imamura, Akira; Tokumitsu, Ryoichi; Hijikata, Katsuichirou.
In: Journal of Structural and Construction Engineering, Vol. 74, No. 637, 03.2009, p. 477-486.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Scaling equation between response spectrum and energy spectrum
AU - Okano, Hajime
AU - Nagano, Masayuki
AU - Imamura, Akira
AU - Tokumitsu, Ryoichi
AU - Hijikata, Katsuichirou
PY - 2009/3
Y1 - 2009/3
N2 - In this paper, the scaling equation between the pseudo velocity response spectrum and the energy spectrum is proposed. Utilizing random vibration theory, the maximum response of SDOF is given as the function of power spectrum density of main part of earthquake motion. Whereas, energy spectrum is equal to Fourier amplitude spectrum smoothed by spectral window, which is clearly pointed out by Kuwamura, et al. Finally, the equation between response spectrum and energy spectrum is derived, by making connection between Fourier amplitude spectrum and power spectrum density considering the nonstationarity of earthquake motion. The proposed equation is verified not only using the artificial earthquake motions but also using the observed strong ground motions of both interplate earthquakes and inland crustal earthquakes. The equation between the peak ground acceleration/velocity and response spectrum is also proposed, which is the application of the method shown in this paper.
AB - In this paper, the scaling equation between the pseudo velocity response spectrum and the energy spectrum is proposed. Utilizing random vibration theory, the maximum response of SDOF is given as the function of power spectrum density of main part of earthquake motion. Whereas, energy spectrum is equal to Fourier amplitude spectrum smoothed by spectral window, which is clearly pointed out by Kuwamura, et al. Finally, the equation between response spectrum and energy spectrum is derived, by making connection between Fourier amplitude spectrum and power spectrum density considering the nonstationarity of earthquake motion. The proposed equation is verified not only using the artificial earthquake motions but also using the observed strong ground motions of both interplate earthquakes and inland crustal earthquakes. The equation between the peak ground acceleration/velocity and response spectrum is also proposed, which is the application of the method shown in this paper.
KW - Duration Time of Main Earthquake Motion
KW - Energy Spectrum
KW - Magnitude
KW - Nonstationarity
KW - Response Spectrum
UR - http://www.scopus.com/inward/record.url?scp=79954553324&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=79954553324&partnerID=8YFLogxK
U2 - 10.3130/aijs.74.477
DO - 10.3130/aijs.74.477
M3 - Article
AN - SCOPUS:79954553324
VL - 74
SP - 477
EP - 486
JO - Journal of Structural and Construction Engineering
JF - Journal of Structural and Construction Engineering
SN - 1340-4202
IS - 637
ER -