Scaling equation between response spectrum and energy spectrum

被引:0
作者
Okano, Hajime [1 ]
Nagano, Masayuki [2 ]
Imamura, Akira [3 ]
Tokumitsu, Ryoichi [3 ]
Hijikata, Katsuichirou [3 ]
机构
[1] Kobori Research Complex Inc., Japan
[2] Tokyo University of Science, Japan
[3] Tokyo Electric Power Company, Japan
来源
Journal of Structural and Construction Engineering | 2009年 / 74卷 / 637期
关键词
Duration Time of Main Earthquake Motion; Energy Spectrum; Magnitude; Nonstationarity; Response Spectrum;
D O I
10.3130/aijs.74.477
中图分类号
学科分类号
摘要
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.
引用
收藏
页码:477 / 486
页数:9
相关论文
共 9 条
[1]  
Hudson D.E., Some problems in the application of spectrum techniques to strong motion earthquake analysis, BSSA, 52, 2, pp. 417-430, (1962)
[2]  
Rosenblueth E., Bustamante J.I., Distribution of structural response to earthquakes, Journal of the Engineering Mechanics Division, pp. 75-106, (1962)
[3]  
Vanmarcke E.H., On the distribution of the first-passage time for normal stationary random processes, Journal of Applied Mechanics, pp. 215-220, (1975)
[4]  
Kiureghian A.D., Structural response of stationary excitation, Journal of the Engineering Mechanics Division, pp. 1195-1213, (1980)
[5]  
Davenport A.G., Note on the distribution of largest value of a random function with application to gust loading, Proceedings of the Institution of Civil Engineerings, 28, pp. 187-196, (1964)
[6]  
Trifunac M.D., Brady A.G., A study on the duration of strong earthquake ground motion, BSSA, 65, 3, pp. 581-626, (1975)
[7]  
Kamae K., Kawabe H., Irikura K., Strong ground motion prediction for huge subduction earthquakes using a characterized source model and several simulation techniques, 13th WCEE, 655, (2004)
[8]  
Sato R., Theoretical basis on relationship between focal parameter and earthquake magnitude, J. Phys. Earth, 27, pp. 353-372, (1979)
[9]  
Trifunac M.D., Low Frequency Digitization Errors and New Method for Zero Baseline Correction of Strong-motion Accelerograms, EERL70-07