Prediction of Earthquake Energy Input From Smoothed Fourier Amplitude Spectrum

Kuwamura, Hitoshi; Akiyama, Hiroshi; Kirino, Yasunori

doi:10.3130/aijsx.442.0_53

Cited by 23 publications

(28 citation statements)

References 2 publications

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“…Also, good correlation has been observed between the inputenergy spectrum and the amplitude Fourier spectrum [14]. In fact, Kuwamura et al [15] correctly observed that computation of input-energy spectrum could be exactly made without knowledge of the motion's phases and they proposed to estimate the square root of the elastic input-energy spectrum with a smoothed version of the acceleration amplitude Fourier spectrum.…”

Section: Introductionmentioning

confidence: 97%

“…Equation (11) shows also that, not far from the Kuwamura et al's approximation, the input energy spectrum can be exactly interpreted as a smoothed version of the amplitude spectrum squared, with the smoothing function given by Equation (12). For an undamped oscillator, it has been shown (see, for instance, Reference [15]) that the input-energy and Fourier spectra are related by the following expression:…”

Section: Computation Of Input-energy Spectrummentioning

confidence: 99%

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Exact computation of input‐energy spectra from Fourier amplitude spectra

Ordaz

Huerta²,

Reinoso

2003

Earthq Engng Struct Dyn

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SUMMARYA theoretically exact relation is presented between the Fourier amplitude spectrum and the elastic inputenergy spectrum. This energy spectrum is computed from the Fourier acceleration amplitude spectrum and the real part of the relative velocity transfer function of the single-degree-of-freedom elastic oscillator. Some accelerometric records collected worldwide are used to prove the solution. It is shown that the relation presented in this work opens the door for a better understanding of the relationship between the input-energy spectrum and other seismological variables, such as magnitude and focal distance.

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Section: Introductionmentioning

confidence: 97%

Section: Computation Of Input-energy Spectrummentioning

confidence: 99%

Exact computation of input‐energy spectra from Fourier amplitude spectra

Ordaz

Huerta²,

Reinoso

2003

Earthq Engng Struct Dyn

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“…For convenience, E D / E I can be expressed in terms of the equivalent velocities by V D / V E . Past studies [Akiyama 1985;Kuwamura, Galambos 1989;Kuwamura et al 1994;Fajfar, Vidic 1994;Manfredi 1995;Lawson, Krawinkler 1995;Teran-Gilmore 1996;Decanini, Mollaioli 2001;Benavent et al 2002 and show that V D / V E depends mainly on damping and ductility, and put forth empirical expressions of the ratio V D / V E in terms of damping and ductility parameters. The present contribution proposes a new criterion to estimate V D / V E that accounts for the characteristics of the above eight groups considered.…”

Section: Seismic Design Based On Input Energy Spectramentioning

confidence: 99%

“…A more rational seismic design approach, which also overcomes this difficulty, is to express the dynamic input effect through energy response spectra. Interpreting the effect of earthquakes in terms of energy is gaining extensive attention [Housner, 1956;Berg, Tomaides, 1960;Kato, Akiyama, 1975;Housner, Jennings, 1977;Hall et al, 1984;Akiyama, 1985;Uang, Bertero, 1988 and1990;Kuwamura et al, 1994;Bruneau, Wang, 1996;Bertero et al, 1996;Yei, Otani, 1999;Chou et al, 2000;Chou, Uang, 2003;Adang 2007;Leelataviwat et al 2009;Jiao et al, 2011]. This approach features three major advantages: (i) the input effect in terms of energy and the structural resistance in terms of energy dissipation capacity are basically uncoupled, (ii) except in the short period range, the input energy, E I , introduced by a given ground motion in a structure is a stable quantity, governed primarily by the natural period T and the mass m, and scarcely by other structural properties such as resistance, damping and hysteretic behavior, and (iii) the consideration of the cumulative damage fits well with this formulation and can be directly addressed.…”

Section: Introductionmentioning

confidence: 99%

Design energy input spectra for high seismicity regions based on Turkish registers

Almansa

Yazgan

Benavent‐Climent

2013

Bull Earthquake Eng

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SUMMARY:This work proposes design energy spectra in terms of an equivalent velocity, intended for regions with design peak acceleration 0.3 g or higher. These spectra were derived through linear and nonlinear dynamic analyses on a number of selected Turkish strong ground motion records. In the long and mid period ranges the analyses are linear, given the relative insensitivity of the spectra to structural parameters other than the fundamental period; conversely, in the short period range, the spectra are more sensitive to the structural parameters and, hence, nonlinear analyses are required. The selected records are classified in eight groups with respect to soil type (stiff or soft soil), the severity of the earthquake in terms of surface magnitude M s (M s  5.5 and M s > 5.5) and the relevance of the near-source effects (impulsive or vibratory). For each of these groups, median and characteristic spectra are proposed; such levels would respectively correspond to 50% and 95% percentiles. These spectra have an initial linear growing branch in the short period range, a horizontal branch in the mid period range and a descending branch in the long period range. Empirical criteria for estimating the hysteretic energy from the input energy are suggested. The proposed design spectra are compared with those obtained from other studies.

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“…Another major advantage of energy-based approach is that the structural resistance and the earthquake effect in terms of energy are basically uncoupled since input energy is a quite stable response parameter and hardly depends on hysteretic characteristics of the structure. Accordingly, there have been extensive attempts for estimating earthquake input energy [28][29][30][31][32][33][34][35][36][37][38][39][40][41][42].…”

Section: Introductionmentioning

confidence: 99%

Hysteretic Energy Demand in SDOF Structures Subjected to an Earthquake Excitation: Analytical and Empirical Results

Uçar

Merter

2018

SDÜ Fen Bil Enst Der

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Abstract:In energy-based seismic design approach, earthquake ground motion is considered as an energy input to structures. The earthquake input energy is the total of energy components such as kinetic energy, damping energy, elastic strain energy and hysteretic energy, which contributes the most to structural damage. In literature, there are many empirical formulas based on the hysteretic model, damping ratio and ductility in order to estimate hysteretic energy, whereas they do not directly consider the ground motion characteristics. This paper uses nonlinear time history (NLTH) analysis for energy calculations and presents the distribution of earthquake input energy and hysteretic energy of single-degree-offreedom (SDOF) systems over the ground motion duration. Seven real earthquakes recorded on the same soil profile and three different bilinear SDOF systems having constant ductility ratio and different natural periods are selected to perform NLTH analyses. As results of nonlinear dynamic analyses, input and hysteretic energies per unit masses are graphically obtained. The hysteretic energy to input energy ratio (EH/EI) is investigated, as well as the ratio of other energy components to energy input. EH/EI ratios of NLTH analysis are compared to the results of empirical approximations related EH/EI ratio and a reasonable agreement is observed. The average of EH/EI ratio is found to be between 0.468 and 0.488 meaning nearly half of the earthquake energy input is dissipated through the hysteretic behavior.

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Prediction of Earthquake Energy Input From Smoothed Fourier Amplitude Spectrum

Cited by 23 publications

References 2 publications

Exact computation of input‐energy spectra from Fourier amplitude spectra

Exact computation of input‐energy spectra from Fourier amplitude spectra

Design energy input spectra for high seismicity regions based on Turkish registers

Hysteretic Energy Demand in SDOF Structures Subjected to an Earthquake Excitation: Analytical and Empirical Results

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