Evaluation of Response Spectrum Considering the Stochastic Characteristics of the Phase Spectrum of Earthquake Motion

The purpose of this research is to make clear the phase spectrum characteristic of earthquake motion. After the introduction of past researches we introduce the concept of fractional Brownian process (FBP). A simple method is proposed to determine the Hurst index and the variance of a given process characterized by the FBP. We find that the phase characteristic of earthquake motion can be expressed by this process which is a non-stationery function of the circular frequency with a constant correlation coefficient. Using several observed earthquake motion we demonstrate this fact and show the efficiency of newly founded result to simulate realistic earthquake motion phase and also compare simulated earthquake motions with those of observed ones. We also simulate design response spectrum compatible earthquake motions by simulating the earthquake motion phase using the identified Hurst index and variance of the given earthquake motion. We investigate the effect of hypocenter distance on the variance and Hurst index of earthquake motion phase, as well as on the mean gradient of earthquake motion phase with respect to the circular frequency.

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STOCHASTIC CHARACTERISTICS OF EARTHQUAKE MOTION PHASE DIFFERENCE AND ITS MATHEMATICAL INTERPRETATIONS

Journal of Japan Society of Civil Engineers Ser A1 (Structural Engineering & Earthquake Engineering (SE/EE)) ◽

10.2208/jscejseee.70.295 ◽

2014 ◽

Vol 70 (2) ◽

pp. 295-305

Author(s):

Tadanobu SATO

Keyword(s):

Phase Difference ◽

Earthquake Motion ◽

Stochastic Characteristics

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Random Response Analysis of a Large-Size Cooling Tower Subjected to the Stationary Earthquake Motion

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.423-426.1589 ◽

2013 ◽

Vol 423-426 ◽

pp. 1589-1593

Author(s):

Jia Ning Zhu ◽

Ya Zhou Xu ◽

Guo Liang Bai ◽

Rui Wen Li

Keyword(s):

Power Spectrum ◽

Random Vibration ◽

Cooling Tower ◽

Response Spectrum ◽

Power Spectrum Density ◽

Random Response ◽

Large Size ◽

Earthquake Motion ◽

Spectrum Density ◽

Random Vibration Theory

The response of a large-size cooling tower with 250m high subjected to the seismic action are investigated by both random vibration theory and response spectrum method. Shell element is taken to model the tower body, and beam element is used for the circular foundation and supporting columns. The earthquake motion input is a colored filtered white noise model and mode superposition method is adopted to analyze the random response of the large-size cooling tower. The paper presents the power spectrum density functions (PDF) and standard deviation of the displacement of the top and characteristic node, and the analysis results indicate that the results of the stationary random vibration theory and the response spectrum method are the same order of magnitude. The power spectrum density function of the bottom node stress is obviously bigger than the one at the top and the throat, and the random response of meridonal stress is dominated at the top. In addition, the peak frequency position of the power spectrum density function is different from the corresponding stress.

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Effects of Site Classification on Platform Value of Response Spectrum

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.378-379.306 ◽

2011 ◽

Vol 378-379 ◽

pp. 306-309

Author(s):

Ping Li ◽

Jing Shan Bo ◽

Xiao Yun Guo ◽

You Wei Sun ◽

Yu Dong Zhang

Keyword(s):

Ground Motion ◽

Seismic Design ◽

Wave Motion ◽

Response Spectrum ◽

Equivalent Linearization ◽

Earthquake Response ◽

Response Analysis ◽

Site Classification ◽

Earthquake Motion ◽

Design Response Spectrum

Regarding the design response spectrum in the code for seismic design of buildings as target spectra，the 28 acceleration histories are formed artificially．They are used as the inputs ground motion in earthquake response analysis．Four site classifications profiles were selected or constructed from practical site profiles．With the use of 1-D equivalent linearization wave motion method that is wildly used at present in site seismic response analysis, the platform values of surface response spectrum for different profiles under different ground motion inputs were calculated．Different platform values of the response spectrum and relational expression which is seven input earthquake motion intensity and site classifications have been given by statistical analysis.

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Generation of Spectrum-Compatible Earthquake Motion Using Wavelet Transform

Seismic Engineering, Volume 2 ◽

10.1115/pvp2002-1413 ◽

2002 ◽

Author(s):

Arata Masuda ◽

Akira Sone

Keyword(s):

Wavelet Transform ◽

Response Spectrum ◽

Impulse Response Function ◽

Maximum Amplitude ◽

Response Spectra ◽

Frequency Characteristics ◽

Time Frequency ◽

Earthquake Motion ◽

Velocity Response Spectrum ◽

Velocity Impulse

In this paper, a new method for generating artificial earthquake motions is proposed, in which one can explicitly design the time-frequency characteristics of the earthquake as well as its response spectra. First, it is shown that the velocity response spectrum at a specific period can be interpreted as the maximum amplitude of the wavelet transform in which the velocity impulse response function of a single-degree-of-freedom system is used as the analyzing wavelet. Using this relationship, a spectrum-compatible artificial earthquake motion with the desirable time-frequency characteristics is generated in the wavelet domain by an iterative correction-projection scheme. Some illustrative examples are investigated to demonstrate the capability and the practicability of the proposed scheme.

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Analysis on Influence of Earthquake Motion to Loess Slope Stability

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.243-249.5157 ◽

2011 ◽

Vol 243-249 ◽

pp. 5157-5160

Author(s):

Jun Ying Guo ◽

Rong Ji Li ◽

Xu Zhen Zhang

Keyword(s):

Yield Criterion ◽

Response Spectrum ◽

Loess Landslide ◽

Loess Slope ◽

Earthquake Effect ◽

Earthquake Motion ◽

Motion Time ◽

Time Histories ◽

Standard Response ◽

Spectrum Curve

Selected the typical loess landslide to analyze and calculate, adoption of elastic-plastic dynamic FEM and Drucker-Prager yield criterion, using Earthquake motion time-histories as the seismic input will be based on the fitting of , class standard response spectrum curve in the current seismic resistance design code. From the analysis of loess slope deformation and breach at different peak acceleration, spectral and duration, it shows the dynamic response and change rule of soil under earthquake effect.

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