• Title/Summary/Keyword: The coefficient of variability

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The probabilistic Analysis of Degree of Consolidation by Spatial Variability of Cv (압밀계수의 공간변동성에 따른 압밀도의 확률론적 해석)

  • Bong, Tae-Ho;Son, Young-Hwan;Noh, Soo-Kack;Park, Jae-Sung
    • Journal of The Korean Society of Agricultural Engineers
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    • v.54 no.3
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    • pp.55-63
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    • 2012
  • Soil properties are not random values which is represented by mean and standard deviation but show spatial correlation. Especially, soils are highly variable in their properties and rarely homogeneous. Thus, the accuracy and reliability of probabilistic analysis results is decreased when using only one random variable as design parameter. In this paper, to consider spatial variability of soil property, one-dimensional random fields of coefficient of consolidation ($C_v$) were generated based on a Karhunen-Loeve expansion. A Latin hypercube Monte Calro simulation coupled with finite difference method for Terzaghi's one dimensional consolidation theory was then used to probabilistic analysis. The results show that the failure probability is smaller when consider spatial variability of $C_v$ than not considered and the failure probability increased when the autocorrelation distance increased. Thus, the uncertainty of soil can be overestimated when spatial variability of soil property is not considered, and therefore, to perform a more accurate probabilistic analysis, spatial variability of soil property needed to be considered.

A Study on Stride-to-stride Variability by Treadmill Walking (트레드밀을 이용한 보행간 Variability 분석에 관한 연구)

  • Choi, Jin-Seung;Kang, Dong-Won;Tack, Gye-Rae
    • Korean Journal of Applied Biomechanics
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    • v.17 no.4
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    • pp.1-8
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    • 2007
  • The purpose of this study was to investigate the difference in the stride-to-stride variability between two treadmill conditions; traditional treadmill and special treadmill whose speed can be adjusted automatically by subject's walking speed. Eight male subjects (25.1 years, 172.7 cm, 66.6 kg) were participated in treadmill walking experiment. First, preferred walking speed (PWS) of each subject was determined. Second, each subject performed walking experiment with fixed PWS condition and with free PWS condition for 10 minutes. 3D motion capture system (Motion analysis Corp., USA) with 6 cameras was used to collect motion data with sampling frequency of 120Hz. Temporal and spatial variables for stride-to-stride variability were calculated. Coefficient of variance (CV) which quantifies the amount of variability and Detrended Fluctuation Analysis (DFA) which explains the structure (self-similarity) of the variability were used for analysis. Results showed that the amount of variability during free PWS condition was greater than that of fixed PWS condition. DFA results showed that there was a statistical difference between two treadmill conditions for the variables of step length, stance time, and double support time. From these results, it is possible that traditional treadmill study might give incorrect conclusion about gait variability study. Further study is necessary to clarify these matters by considering the number of subjects, experimental time, and gait variables for the study of stride-to-stride variability.

Fatigue Life Prediction for High Strength AI-alloy under Variable Amplitude Loading (변동하중하에서 고강도 알루미늄 합금의 피로수명 예측)

  • Sim, Dong-Seok;Kim, Gang-Beom;Kim, Jeong-Gyu
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.8 s.179
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    • pp.2074-2082
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    • 2000
  • In this study, to investigate and to predict the crack growth behavior under variable amplitude loading, crack growth tests are conducted on 7075-T6 aluminum alloy. The loading wave forms are generated by normal random number generator. All wave forms have same average and RMS(root mean square) value, but different standard deviation, which is to vary the maximum load in each wave. The modified Forman's equation is used as crack growth equation. Using the retardation coefficient D defined in previous study, the load interaction effect is considered. The variability in crack growth process is described by the random variable Z which was obtained from crack growth tests under constant amplitude loading in previous work. From these, a statistical model is developed. The curves predicted by the proposed model well describe the crack growth behavior under variable amplitude loading and agree with experimental data. In addition, this model well predicts the variability in crack growth process under variable amplitude loading.

Probabilistic Characteristics of Effective Diffusion Coefficient in the Porous Media

  • Khim, Jeehyeong
    • Proceedings of the Korean Society of Soil and Groundwater Environment Conference
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    • 1996.11a
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    • pp.58-62
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    • 1996
  • To check the variability of the effective diffusion coefficient in the unsaturated porous soil media. a Monte Carlo simulation was done for the equation suggested by Millington and Quirk(1961). The results shows that the probability density function of D$_{c}$/D$_{o}$ is positively skewed. It means the chance of having less effective diffusion coefficient values in the soil media than mean value is high. Also, the distribution types of D$_{c}$/D$_{o}$ are about same regardless of assumed distribution types of input parameters.ers.ers.

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Nonlinear Canonical Correlation Analysis of the Korea Precipitaiton with Sea Surface Temperature near East Asia

  • Kim, Gwang-Seob;Mingdong, Sun
    • Proceedings of the Korea Water Resources Association Conference
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    • 2010.05a
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    • pp.1620-1624
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    • 2010
  • The NLCCA has been applied to analyze the East Asia sea surface temperature (SST) and Korea monthly precipitation, where the eight leading PCs of the SST and the eight PCs of the precipitation during 1973-2007 were inputs to an NLCCA model. The first NLCCA mode is plotted in the PC spaces of the Korea precipitation and the world SST present a curve linking the nonlinear relationship between the first three leading PCs of Korea precipitation and world SST forthright. The correlation coefficient between canonical variate time series u and v is 0.8538 for the first NLCCA mode. And there are some areas' climate variability have higher relationship with Korea precipitation, especially focus on the north of East Sea' climate variability have represented the higher canonical correlation with Korea precipitation, with the correlation coefficient is 0.871 and 0.838. Likewise in Korea, most stations display similarly uniform distributing characteristic and less difference, in particular the inshore stations have display identical distributing characteristic. In correlation variables' scores, the fluctuation and variation trend are also seasonal oscillation with high frequency.

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A Simulation Study on the Variability Function of the Arrival Process in Queueing Networks (시뮬레이션을 이용한 대기행렬 네트워크 도착과정의 변동성함수에 관한 연구)

  • Kim, Sun-Kyo
    • Journal of the Korea Society for Simulation
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    • v.20 no.2
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    • pp.1-10
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    • 2011
  • In queueing network analysis, arrival processes are usually modeled as renewal processes by matching mean and variance. The renewal approximation simplifies the analysis and provides reasonably good estimate for the performance measures of the queueing systems under moderate conditions. However, high variability in arrival process or in service process requires more sophisticated approximation procedures for the variability parameter of departure/arrival processes. In this paper, we propose an heuristic approach to refine Whitt's variability function with the k-interval squared coefficient of variation also known as the index of dispersion for intervals(IDI). Regression analysis is used to establish an empirical relationships between the IDI of arrival process and the IDI of departure process of a queueing system.

Association between Hand Grip Strength and Gait Variability in Elderly: Pilot Study (노인의 악력과 보행 가변성 간의 연관성: 예비연구)

  • Lee, Do-Youn;Lee, Yungon;Shin, Sunghoon
    • PNF and Movement
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    • v.20 no.1
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    • pp.125-134
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    • 2022
  • Purpose: The aim of this study was to establish an association between grip strength and gait variability in the elderly. Methods: The participants in this experiment (n = 20) were aged 65 or older. Power grip and lateral pinch forces were obtained in grip strength tests, and spatiotemporal gait parameters were collected from IMU sensors during 6 min actual walking to test the gait of participants. The collected gait parameters were converted to coefficient of variation (CV) values. To confirm the association between grip strength and gait variability, a partial correlation analysis was conducted in which height, weight, and gait speed were input as controlling variables. Results: Grip power showed a significant negative correlation with the stride length CV (r = -0.52), and the lateral pinch force showed a significant negative correlation with the stance CV (r = -0.65) and swing CV (r = -0.63). Conclusion: This study reveals that gait variability decreases as grip strength increases, although height, weight, and gait speed were controlled. Thus, grip strength testing, a simple aging evaluation method, can help identify unstable gait in older adults at risk of falling, and grip strength can be utilized as a non-invasive measurement method for frailty management and prevention.

Probabilistic bearing capacity of circular footing on spatially variable undrained clay

  • Kouseya Choudhuri;Debarghya Chakraborty
    • Geomechanics and Engineering
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    • v.38 no.1
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    • pp.93-106
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    • 2024
  • The present paper investigates the spatial variability effect of soil property on the three-dimensional probabilistic characteristics of the bearing capacity factor (i.e., mean and coefficient of variation) of a circular footing resting on clayey soil where both mean and standard deviation of undrained shear strength increases with depth, keeping the coefficient of variation constant. The mean trend of undrained shear strength is defined by introducing the dimensionless strength gradient parameter. The finite difference method along with the random field and Monte Carlo simulation technique, is used to execute the numerical analyses. The lognormal distribution is chosen to generate random fields of the undrained shear strength. In the study, the potential failure of the structure is represented through the failure probability. The influences of different vertical scales of fluctuation, dimensionless strength gradient parameters, and coefficient of variation of undrained shear strength on the probabilistic characteristics of the bearing capacity factor and failure probability of the footing, along with the probability and cumulative density functions, are explored in this study. The variations of failure probability for different factors of safety corresponding to different parameters are also illustrated. The results are presented in non-dimensional form as they might be helpful to the practicing engineers dealing with this type of problem.

Development of a Water Quality Model for Streams in an Upland Agricultural Watershed (농촌 유역 상단부의 소하천에서 수질예측모형의 개발)

  • Choe, Hye-Suk;O, Gwang-Jung;Kim, Sang-Hyeon
    • Journal of Korea Water Resources Association
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    • v.33 no.1
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    • pp.73-85
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    • 2000
  • A water quality model was developed for small stream at a upland agricultural watershed. A control volume method was employed to digest the severe variability of stream shape, water quality and discharge at small streams. We estimated optimum reaction coefficients and model structure using a random number generation technique. The index of agreement and coefficient of efficiency were introduced for the model calibration criterion. As the result, the reliability of model parameter estimation could be improved. The applicability of model was tested by a set of sampling results at Yongduckchun in Kimhae. The variability of water quality reaction coefficient was explored through the observed data and using the developed model. model.

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Characteristics of Flexural Cracking Widths in FRP-Reinforced Concrete Beams Subjected to Short-Term Loads (단기하중을 받는 FRP-보강근 콘크리트 보의 휨균열폭 특성)

  • Choi, Bong-Seob
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.16 no.10
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    • pp.7053-7060
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    • 2015
  • The use of FRP(Fiber-reinforced polymer) bars results in larger crack widths under service load due to the generally low elastic modulus and poor bond characteristics of FRP as compared with steel reinforcing bars. The work presented herein includes the results from 12 beams composed of nine rectangular beams and three T-beams reinforced with FRP bars tested under four-point bending. It was investigated that the bond coefficient, $k_b$ in ACI 440.1R-06 equation had high variability which the coefficient of variation was 40% in the range of 0.6 to 1.88 with average 1.05.