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  • 1
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    In:  Bull. Seism. Soc. Am., L'wiw, Inst. f. Theoret. Geodäsie, vol. 89, no. 5, pp. 1384-1389, pp. B01408, (ISSN: 1340-4202)
    Publication Date: 1999
    Keywords: Seismology ; Data analysis / ~ processing ; Spectrum ; BSSA
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  • 2
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 38 (1995), S. 2265-2281 
    ISSN: 0029-5981
    Keywords: explicit and implicit time integration ; stability ; trapezoidal rule ; structural dynamics ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A simple explicit solution technique for problems in structural dynamics, based on a Modified Trapezoidal rule Method (MTM) approximation of the governing ordinary differential equations, is developed. The resulting conditionally stable explicit method (MTM) can be easily implemented and is extremely simple to use. Particular attention is focused herein on the concept of numerical stability of the proposed method for a free-vibrational response of a linear undamped Single-Degree-Of-Freedom system (SDOF). To examine the effectiveness, strengths, and limitations of MTM, error analyses for the natural period, the displacement, the velocity and the associated phase angle for a free undamped simple mass-spring system are derived and compared with Modified Euler Method (MEM) and the well-known Newmark Beta Method (NBM). Numerical examples for a SDOF system and a Multi-Degree-Of-Freedom (MDOF) system are presented to illustrate the strengths and the limitations of the proposed method.
    Additional Material: 9 Ill.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 41 (1998), S. 459-471 
    ISSN: 0029-5981
    Keywords: optimum design ; framed structures ; non-linear analysis ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The aim of this paper is to develop a structural optimization algorithm based on optimality criterion approach to achieve a minimum weight structure that satisfies a set of displacement constraints. Optimal designs are found considering both linear and non-linear behaviour of the structure and compared through an example problem. Many algorithms have been developed to determine the optimal minimum weight design of framed structures under a set of displacement constraints; however, in almost all of them linear analyses are performed. This paper shows how the non-linear analysis will effect the optimal design of a structure. © 1998 John Wiley & Sons, Ltd.
    Additional Material: 4 Ill.
    Type of Medium: Electronic Resource
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  • 4
    Publication Date: 2016-07-26
    Description: Using the single backscattering method, coda quality factor functions through coda window lengths of 20, 30, 40, 50, and 60 s have been estimated for the New Madrid seismic zone (NMSZ). Furthermore, geometrical spreading functions for distances less than 60 km have been determined in this region at different center frequencies exploiting the coda normalization method. A total of 284 triaxial seismograms with good signal-to-noise ratios (SNR〉5) from broadband stations located in the NMSZ were used. The database consisted of records from 57 local earthquakes with moment magnitudes of 2.6–4.1, and hypocentral distances less than 200 km. Q -factor values were evaluated at five frequency bands with central frequencies of 1.5, 3, 6, 12, and 24 Hz. Vertical components were utilized to estimate vertical coda Q -factor values. Horizontal coda Q -factor values were determined using the average amount of the Q -factor values estimated from two orthogonal horizontal components. The coda Q -factor increases with increasing of the coda window length implying that with increasing the depth, the coda Q -factor increases. The intermediate values of the Q -factor and intermediate values of the frequency dependency indicate that the Earth’s crust and upper mantle beneath the entire NMSZ is tectonically a moderate region with a moderate to relatively high degree of heterogeneities. The geometrical spreading factors of S -wave amplitudes are frequency dependent and determined to be –0.761, –0.991, –1.271, –1.182, and –1.066 for center frequencies of 1.5, 3, 6, 12, and 24 Hz, respectively, at hypocentral distances of 10–60 km. The geometrical spreading factors for lower frequencies are not recommended to be used due to the greater impact of the radiation pattern and directivity effect on low frequencies, as well as the greater sensitivity of band-pass-filtered seismograms of small earthquakes to the noise in low frequencies.
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    Electronic ISSN: 1943-3573
    Topics: Geosciences , Physics
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  • 5
    Publication Date: 2016-04-07
    Description: An alternative hybrid empirical ground-motion model for central and eastern North America (CENA) is proposed. The new ground-motion model (GMM) is developed for the average horizontal components (RotD50) of peak ground acceleration, peak ground velocity, and 5%-damped pseudospectral accelerations at 0.01–10 s spectral periods. Hybrid empirical estimates are derived using the regional modification factors between two regions (host and target), along with empirical GMMs from the host region. The regional adjustment factors are ratios of the intensity measures from the generated synthetics in the host (western North America [WNA]) and target (CENA) regions. In this study, the recent updated empirical GMMs developed by the Pacific Earthquake Engineering Research Center for the Next Generation Attenuation West2 (NGA-West2) project ( Bozorgnia et al. , 2014 ) are incorporated. We used a broadband simulation technique proposed by the authors ( Shahjouei and Pezeshk, 2015a ) to generate synthetics for both the WNA and CENA regions in which the high-frequency and low-frequency parts of synthetics are calculated through a stochastic finite-fault method and kinematic source models along with the deterministic wave propagation, respectively. The updated seismological and geological parameters are deployed in simulations. The new ground-motion model is developed, as part of the NGA-East research project, considering multiple shaking scenarios that characterize the magnitude in the M  5.0–8.0 range. The proposed GMM represents the level of ground shaking in the distance range of 2–1000 km and are developed for the reference rock site condition with V S 30 =3 km/s in CENA. The results are compared with some other existing models in the region. In addition, a comprehensive residual analysis is performed using the recorded earthquakes available in the NGA-East database.
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  • 6
    Publication Date: 2016-06-10
    Description: The spectral-decay parameter 0 is often used to account for the reduction of the high-frequency amplitude of ground motion caused by attenuation within the site profile. In this study, we used the inverse random vibration theory approach described by Al Atik et al. (2014) to calculate Fourier amplitude spectra from predicted values of response-spectral acceleration for all five Next Generation Attenuation (NGA)-West2 ground-motion prediction equations (GMPEs). We used these spectra to estimate 0 using the spectral-decay method. Each GMPE was evaluated for a National Earthquake Hazard Reduction Program B/C site condition and for default estimates of depth to the top of rupture, hypocentral depth, and sediment (basin) depth. We derived estimates of 0 for magnitudes ranging from 3.5 to 8.0 and distances ranging from 5 to 20 km and used a mixed-effects model to derive equations for these estimates as a function of magnitude. We also calculated 0 from the geometric mean of the response-spectral accelerations of the GMPEs to check the sensitivity of the results to the two approaches and found that the values of 0 derived in this study using a mixed-effects model are in good agreement with these estimates. The values of 0 obtained in this study do not necessarily represent the physical high-frequency damping within the site profiles used to develop the NGA-West2 GMPEs. Instead, they are intended to represent the high-frequency shape of the median predicted spectral accelerations from the GMPEs. The 0 model developed in this study can be used in inversions to develop stochastic models that are intended to mimic the predictions from the NGA-West2 GMPEs. Online Material: Tables of random effects result on coefficients 0 , and figures of Fourier amplitude spectrum.
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    Topics: Geosciences , Physics
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  • 7
    Publication Date: 2015-12-02
    Description: The solution of a Rayleigh-wave inverse problem may potentially deviate from the realistic shear-wave velocity structure due to nonuniqueness. To overcome such deviation, it is necessary to understand the source of nonuniqueness and situations that may give rise to the nonuniqueness. In this study, the existence and formation of the nonunique solutions in an inverse problem are demonstrated by modeling the solution space of a synthetic surface-wave inverse problem and investigating the major causes that might engender nonuniqueness, namely (1) the inversion convergence threshold, (2) ambient noise, (3) corner frequency of the recordings, and (4) the water level. Regarding the severity of nonuniqueness in the phase-velocity inverse problems, a technique is proposed to improve the inversion that exploits the match between the synthetic and observed time series used as a posteriori information for constraining the realistic velocity structure. Through a synthetic example, the effectiveness of such method is tested and demonstrated effective.
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  • 8
    Publication Date: 2019
    Description: 〈span〉〈div〉Abstract〈/div〉We assessed the applicability of several ground‐motion models (GMMs) against Iran’s local data. Candidate GMMs are selected from those developed for shallow crustal regions such as Iran, Turkey, Japan, Europe and the Middle East, and the western United States. We made the evaluation database prospective to all candidate GMMs to assess their predictive capability. The evaluation database is composed of 643 records from 240 earthquakes with magnitudes ranging from 3.9 to 7.3 and Joyner–Boore distances up to 300 km. We implemented the log‐likelihood method of 〈a href="https://pubs.geoscienceworld.org/bssa#rf55"〉Scherbaum 〈span〉et al.〈/span〉 (2009)〈/a〉, the Euclidean distance‐based ranking proposed by 〈a href="https://pubs.geoscienceworld.org/bssa#rf36"〉Kale and Akkar (2013)〈/a〉, and the multivariate logarithmic score of 〈a href="https://pubs.geoscienceworld.org/bssa#rf47"〉Mak 〈span〉et al.〈/span〉 (2017)〈/a〉 to evaluate the candidate models. We ranked GMMs by paying attention to the issue of score variability. To assess the score variability, we generated resampled datasets from the whole database using the cluster bootstrap technique and ranked models based on their relative performance among bootstrap samples. Overall, 〈a href="https://pubs.geoscienceworld.org/bssa#rf56"〉Sedaghati and Pezeshk (2017)〈/a〉, 〈a href="https://pubs.geoscienceworld.org/bssa#rf66"〉Zafarani 〈span〉et al.〈/span〉 (2018)〈/a〉, and 〈a href="https://pubs.geoscienceworld.org/bssa#rf27"〉Farajpour 〈span〉et al.〈/span〉 (2019)〈/a〉 local models outperform remaining models considering the whole database over the entire frequency range. For high‐seismicity regions, the 〈a href="https://pubs.geoscienceworld.org/bssa#rf68"〉Zhao 〈span〉et al.〈/span〉 (2006)〈/a〉 model can be used in line with the first two local models to better quantify epistemic uncertainties associated with the process of model selection. In addition to aforementioned local models, 〈a href="https://pubs.geoscienceworld.org/bssa#rf15"〉Bindi 〈span〉et al.〈/span〉 (2014)〈/a〉 show acceptable performance against small‐to‐moderate magnitude data and may be considered for estimating seismic hazard in low‐seismicity regions of Iran.〈/span〉
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  • 9
    Publication Date: 2015-04-01
    Description: Broadband synthetic time histories for central and eastern United States are generated using a proposed hybrid broadband simulation technique. The low-frequency (LF) portion of synthetics is calculated using kinematic source modeling and deterministic wave propagation. Using the COMPSYN software package ( Spudich and Xu, 2003 ), a discrete wavenumber/finite-element method is implemented for the LF Green’s functions generation. The procedure makes use of the reciprocity theorem and numerical techniques to assess the representation theorem integrals on a fault surface. Spatial random field models are employed to characterize the complexity of the slip distribution on the heterogeneous fault. In this study, the variability of some of the kinematic source modeling’s parameters (e.g., hypocenter locations, slip distribution, source time function, and rupture propagation) is taken into account to produce multiple seismograms that contain a broader range of intensity measures such as peak ground motions and spectral accelerations. A stochastic finite-fault simulation model is employed to attain the high-frequency (HF) portion of synthetics. Combining HF and LF synthetics in a magnitude-dependent transition frequency, the broadband seismograms are constructed for M  5.5, M  6.5, and M  7.5 earthquakes in a distance range of 2–200 km. Broadband synthetics will be compared with some of the existing ground-motion prediction equations for spectral accelerations at 0.2, 1.0, and 3.0 s, and the results will be discussed. A compatibility assessment of the stochastic point source and the finite source is performed. The generated seismograms could be implemented in engineering seismology applications such as structural seismic analysis/design and seismic-hazard analysis.
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  • 10
    Publication Date: 2015-04-01
    Description: The focus of this study is to determine the frequency-dependent quality factor function Q ( f ) for the Caribbean region. The analysis considers the Lg portion of 2685 three-component waveforms. Waveforms are selected from 116 earthquakes that occurred between 2006 and 2013 with moment magnitude M w ranging from 4.6 to 7.0. Spectral amplitudes over 12 distinct passbands from 0.1 to 12.8 Hz are calculated only for waveforms with a signal-to-noise ratio of 5 or better. In the regression model, the vertical component and the geometric mean of two horizontal components are used to estimate Q ( f ). A geometrical spreading function with spectral amplitude decay of R –0.5 is used for distances beyond 100 km. The following quality factor functions for the assumed geometrical spreading are obtained: Q H =310 f 0.54 for the horizontal components, and Q V =235 f 0.65 for the vertical components.
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