• Title/Summary/Keyword: beta normal distribution

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Evaluation of chassis component reliability considering variation of fatigue data (피로 자료 분산을 고려한 자동차 부품의 신뢰도 해석)

  • Nam G.W;Lee B.C.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.06a
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    • pp.690-693
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    • 2005
  • In this paper, probabilistic distribution of fatigue life of chassis component is determined statistically by applying the design of experiments and the Pearson system. To construct $p-\varepsilon-N$ curve, the case that fatigue data are random variables is attempted. Probabilistic density function(p.d.f) for fatigue life is obtained by design of experiment and using this p.d.f fatigue reliability about any aimed fatigue life can be calculated. Lower control arm and rear torsion bar of chassis component are selected as examples for analysis. Component load histories, which are obtained by multi-body dynamic simulation for Belsian load history, are used. Finite element analysis are performed using commercial software MSC Nastran and fatigue analysis are performed using FE Fatigue. When strain-life curve itself is random variable, probability density function of fatigue life has very little difference from log-normal distribution. And the case of fatigue data are random variables, probability density functions are approximated to Beta distribution. Each p.d.f is verified by Monte-Carlo simulation.

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Evaluation of Chassis Component Reliability Considering Variation of Fatigue Data (피로 자료 분산을 고려한 자동차 부품의 신뢰도 해석)

  • Nam, Gi-Won;Lee, Byung-Chai
    • Journal of the Korean Society for Precision Engineering
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    • v.24 no.2 s.191
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    • pp.110-117
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    • 2007
  • In this paper, probabilistic distribution of chassis component fatigue life is determined statistically by applying the design of experiments and the Pearson system. To construct p - ${\varepsilon}$ - N curve, the case that fatigue data are random variables is attempted. Probabilistic density function (p.d.f) for fatigue life is obtained by the design of experiment and using this p.d.f fatigue reliability, any aimed fatigue life can be calculated. Lower control arm and rear torsion bar of chassis components are selected as examples for analysis. Component load histories which are obtained by multi-body dynamic simulation for Belsian load history are used. Finite element analysis is performed by using commercial software MSC Nastran and fatigue analysis is performed by using FE Fatigue. When strain-life curve itself is random variable, the probability density function of fatigue life has very little difference from log-normal distribution. And the cases of fatigue data are random variables, probability density functions are approximated to Beta distribution. Each p.d.f is verified by Monte-Carlo simulation.

Sodium Dependent Taurine Transport into the Choroid Plexus, the Blood-Cerebrospinal Fluid Barrier

  • Chung, Suk-Jae;Ramanathan, Vikram;Brett, Claire M.;Giacomini, Kathleen M.
    • Journal of Pharmaceutical Investigation
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    • v.25 no.3
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    • pp.7-20
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    • 1995
  • Taurine, a ${\beta}-amino$ acid, plays an important role as a neuromodulator and is necessary for the normal development of the brain. Since de novo synthesis of taurine in the brain is minimal and in vivo studies suggest that taurine dose not cross the blood-brain barrier, we examined whether the choroid plexus, the blood-cerebrospinal fluid (CSF) barrier, plays a role in taurine transport in the central nervous system. The uptake of $[^3H]-taurine$ into ATP depleted choroid plexus from rabbit was substantially greater in the presence of an inwardly directed $Na^+$ gradient taurine accumulation was negligible. A transient in side-negative potential gradient enhanced the $Na^+-driven$ uptake of taurine into the tissue slices, suggesting that the transport process is electrogenic, $Na^+-driven$ taurine uptake was saturable with an estimated $V_{max}$ of $111\;{\pm}\;20.2\;nmole/g/15\;min$ and a $K_M\;of\;99.8{\pm}29.9\;{\mu}M$. The estimated coupling ratio of $Na^+$ and taurine was $1.80\;{\pm}\;0.122.$ $Na^+-dependent$ taurine uptake was significantly inhibited by ${\beta}-amino$ acids, but not by ${\alpha}-amino$ acids, indicating that the transporter is selective for ${\beta}-amino$ acids. Since it is known that the physiological concentration of taurine in the CSF is lower than that in the plasma, the active transport system we characterized may face the brush border (i.e., CSF facing) side of the choroid plexus and actively transport taurine out of the CSF. Therefore, we examined in vivo elimination of taurine from the CSF in the rat to determine whether elimination kinetics of taurine from the CSF is consistent with the in vitro study. Using a stereotaxic device, cannulaes were placed into the lateral ventricle and the cisterna magna of the rat. Radio-labelled taurine and inulin (a marker of CSF flow) were injected into the lateral ventricle, and the concentrations of the labelled compounds in the CSF were monitored for upto 3 hrs in the cisterna magna. The apparent clearance of taurine from CSF was greater than the estimated CSF flow (p<0.005) indicating that there is a clearance process in addition to the CSF flow. Taurine distribution into the choroid plexus was at least 10 fold higher than that found in other brain areas (e. g., cerebellum, olfactory bulb and cortex). When unlabelled taurine was co-administered with radio-labelled taurine, the apparent clearance of taurine was reduced (p<0.0l), suggesting a saturable disposition of taurine from CSF. Distribution of taurine into the choroid plexus, cerebellum, olfactory bulb and cortex was similarly diminished, indicating that the saturable uptake of taurine into these tissues is responsible for the non-linear disposition. A pharmacokinetic model involving first order elimination and saturable distribution described these data adequately. The Michaelis-Menten rate constant estimated from in vivo elimination study is similar to that obtained in the in vitro uptake experiment. Collectively, our results demonstrate that taurine is transported in the choroid plexus via a $Na^+-dependent,saturable$ and apparently ${\beta}-amino$ acid selective mechanism. This process may be functionally relevant to taurine homeostasis in the brain.

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A Probabilistic Analysis on Logarithmic-Spiral Failure of Slope in Consideration of Load Variance (하중의 분산성을 고려한 대수누선사면 파괴의 확률론적 해석)

  • 정성관;권무남
    • Geotechnical Engineering
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    • v.4 no.4
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    • pp.39-50
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    • 1988
  • Until now, most probabilistic approaches to the slope stability analysis have been accomplished on the arc failure surface without load. In this study, the relationships between the probability of failure and the safety factor are investigated when the shape of failure is logarithmic spiral on the homogeneous slope with ground water level, the probability distributions of the load and the strength parameter of soil being assumed as normal distribution, log-normal distribution and beta distribution. The results obtained are as follows; 1. For the same safety factor, the design of slope is more reasonable by using the probability of failure than by the safety factor because the probability of failure is increased as the coefficient of variation is increased. 2, The safety factor is more reasonably determined by the coefficient of variation of the strength parameter than by the field condition when the safety factor is applied to design of slope.

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Effects of Danggwisayeok-tang (Dangguisinitang) on MIA-Induced Osteoarthritis Rats (당귀사역탕(當歸四逆湯)이 MIA로 유발된 골관절염 흰쥐에 미치는 영향)

  • Yang, Doo-Hwa;Woo, Chang-Hoon;Kim, Jung-Min;An, Hee-Duk
    • Journal of Korean Medicine Rehabilitation
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    • v.25 no.2
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    • pp.37-50
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    • 2015
  • Objectives The purpose of this study was to know the effects of Danggwisayeok-tang (Dangguisinitang) extract (DGSYT) on monosodium iodoacetate (MIA)-induced rat osteoarthritis. Methods For this purpose, rats were divided into 5 groups. Normal group was not injected with MIA and orally administered any medication. Control group was injected with MIA and not orally administered any medication. DGSYT100 group was injected with MIA and orally administered 100 mg/kg of DGSYT. DGSYT300 group was injected with MIA and orally administered 300 mg/kg of DGSYT. JoinsT group was injected with MIA and orally administered 20 mg/kg of Joins tablet. DGSYT100 and DGSYT300 groups were orally administered DGSYT during a week before and 3 weeks after based on the day MIA injected. The changes of hepatotoxicity, nephrotoxicity, relative hind paw weight distribution, cytokine in serum, cytokine messenger ribonucleic acid (mRNA) in joint tissue and histopathological observation (Hematoxylin & Eosin and Safranin-O staining) were measured. Results Alanine aminotransferase (ALT) levels of DGSYT100, DGSYT300 and JoinsT groups were increased significantly, but these results were within normal range. Aspartate aminotransferase (AST) and creatinine levels of all groups were not changed significantly. In the change of relative hind paw weight distribution, DGSYT300 and JoinsT groups were decreased significantly 14 and 21 days after MIA injected. Interleukin-$1{\beta}$ (IL-$1{\beta}$) and Interleukin-6 (IL-6), Leukotriene $B_4$ and Osteocalcin levels of DGSYT300 and JoinsT groups were decreased significantly. In measurement of IL-$1{\beta}$ and nitric oxide synthase-II mRNA relative quantitative of control, DGSYT100, DGSYT300 and JoinsT groups were decreased significantly. In measurement of TNF-${\alpha}$, IL-6 and Cyclooxygenase-2 mRNA relative quantitative of control, DGSYT300 and JoinsT groups was decreased significantly. In histopathological observation of knee, synovial tissue, cartilage and proteoglycan of DGSYT100, DGSYT300 and JoinsT were well preserved compared with control group. Conclusions According to the results, DGSYT has anti-inflammation and pain relief effects. So it should be suppressed progression of arthritis in MIA-induced osteoarthritis rat.

Vibration Prediction and Charge Estimation in Hard Rock Blasting Site (경암층 발파현장에서 진동예측 및 장약량산정)

  • Park, Yeon-Soo;Park, Sun-Joon;Choi, Sun-Min;Mun, Soo-Bong;Mun, Byeong-Ok;Jeong, Gyung-Yul;Jeong, Tae-Hyeong;Hwang, Seung-Ill;Kim, Min-Jung;Park, Sang-Chul;Kim, Jung-Ju;Lee, Byeong-Geun
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.19 no.3
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    • pp.313-319
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    • 2009
  • The blasting has a lot of economic efficiency and speediness but it can damage to a neighbor structure, a domestic animal and a cultured fish due to the blasting vibration, then the public grievance is increased. Therefore, we need to manage the blasting vibration efficiently. The prediction of the correct vibration velocity is not easy because there are lots of different kinds of the scale of blasting vibration and it has a number of a variable effect. So we figure the optimum line through the least-squares regression by using the vibration data measured in hard rock blasting and compared with the design vibration prediction equation. As a result, we confirm that the vibration estimated in this paper is bigger than the design vibration prediction equation in the same charge and distance. If there is a Gaussian normal distribution data on the left-right side of the least squares regression, then we can estimate the vibration prediction equation on reliability 50%(${\beta}=0$), 90%(${\beta}=1.28$), 95%(${\beta}=1.64$). 99.9%(${\beta}=3.09$). As a result, it appears to be suitable that the reliability is 99% at the transverse component, the reliability 95% is at the vertical component, the reliability 90% is at the longitudinal component and the reliability is 95% at the peak vector sum component.

The Effects of Surface Finish and Grain Size on the Strength of Sintered SiC (소결탄화규소의 표면처리 및 비정상 성장입자가 강도에 미치는 영향)

  • 유영혁;김영욱;이준근;김종희
    • Journal of the Korean Ceramic Society
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    • v.21 no.1
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    • pp.27-32
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    • 1984
  • During the last decade there have been many studies on the new ceramics especially engineering ceramics. Sintered silicon carbide is one of the main materials in engineering ceramics. This study shows the effects of surface treatment and microstructure especially the abnormal grain growth on the strength of sintered SiC. Surface of sintered SiC and treated with 400, 800 and 1200 grit diamond wheel. Grain growth is introduced by increasing the sintering times at 205$0^{\circ}C$. The $\beta$longrightarrow$\alpha$ transformation occurs during the sintering of $\beta$-starting materials and is often accompanied by abnormal grain growth. The overall strength distribution are estimated using the Weibull statistics. The results show that the strength of sintered SiC is limited by extrinsic surface flaws in normal-sintered specimens. And it is sound that the finer the surface finishing and the grain size the higher the strength results. But the strength of abnormal sintering specimens is limited by the abnormally-grown large tabular grains. The Weibull modulus increases with the decreasing grain size and the decreasing grit size of grinding.

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Pharmacokinetics of Diltiazem and its Major Metabolite, Deacetyldiltiazem after Oral Administration of Diltiazem in Mild and Medium Folate-Induced Renal Failure Rabbits

  • Choi, Jun-Shik;Lee, Jin-Hwan;Burm, Jin-Pil
    • Archives of Pharmacal Research
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    • v.24 no.4
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    • pp.333-337
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    • 2001
  • The pharmacokinetic changes of diltiazem (DTZ) and its main metabolite, deacetyldiltiazem (DAD) were studied after oral administration of DTZ to normal rabbits and mild and medium folate-induced renal failure rabbits. DTZ 10 mg/kg was given to the rabbits either orally (n=6). Plasma concentrations of DTZ and DAD were determined by a high performance liquid chromatography assay. The area under the plasma concentration-time curves (AUC) and maximum plasma concentration ($C_{max}$) of DTZ were significantly increased in mild and medium folate-induced renal failure rabbits. The metabolite ratio of the DTZ to DAD were significantly decreased in mild and medium folate-induced renal failure rabbits. The volume of distribution ($V_{d}$) and total body clearance ($CL_{t}$) of DTZ were significantly decreased in mild and medium folate-induced renal failure rabbits. The elimination rate constant ($\beta$) of DTZ was significantly decreased in folate-induced renal failure rabbits, but that of DAD was significantly increased. These findings suggest that the hepatic metabolism of DTZ was inhibited and the $V_{d}$, $CL_{t}$ and $\beta$ of DTZ were significantly decreased in mild and medium folate-induced renal failure rabbits.

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B-6 Vitamers and $\beta$-Glucoside Conjugates in Milk of American and Egyptian Women during the first Six Months of Lactation

  • Lee, Jeong-Yeon
    • Journal of Nutrition and Health
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    • v.30 no.4
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    • pp.425-433
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    • 1997
  • Levels and distribution of five B-6 vitamers(PMP, PM, PLP, PL, and PN) and pyridoxine $\beta$-glucoside conjugates(PN-glucoside) were examined in milk of American women who received supplements of 2.5 or 10mg PN HCl/d and of unsupplemented Egyptian women during the first six months of lactation. B-6 vitamer and PN-glucoside levels in human milk were determined by reverse-phase HPLC. Pyridoxal(PL), which has been reported to be the most rapidly absorbed form of vitamin B-6 and may facilitate bioavailability, was the predominant vitamer in human milk of all three groups. Pyridoxal made up 72% of total vitamin B-6 for the 2.5mg supplemented group, 76% for the 10mg group, and 59% for the Egyptian group. Level and Percent PL were significantly lower for Egyptian women. Mean growth of the two American groups was similar to each other and within the normal range of the NCHS reference, however, Egyptian infants showed growth faltering at 6 months. The Percent of PN-glucoside, a less bioavailable form of vitamin B-6 in humans was 1% in milk of American women and was 11% in Egyptian women and these values were significantly different. for Egyptian women, total vitamin B-6 levels in breast milk correlated Positively with animal protein intake(r=0.91) and percent PN-glucosides(r=0.53) and negatively with plant protein intake(r=-0.55). These findings showed that high plant protein intake was associated with low concentrations of PL and total vitamin B-6 in human milk.

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Prediction of Wind Damage Risk based on Estimation of Probability Distribution of Daily Maximum Wind Speed (일 최대풍속의 추정확률분포에 의한 농작물 강풍 피해 위험도 판정 방법)

  • Kim, Soo-ock
    • Korean Journal of Agricultural and Forest Meteorology
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    • v.19 no.3
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    • pp.130-139
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    • 2017
  • The crop damage caused by strong wind was predicted using the wind speed data available from Korean Meteorological Administration (KMA). Wind speed data measured at 19 automatic weather stations in 2012 were compared with wind data available from the KMA's digital forecast. Linear regression equations were derived using the maximum value of wind speed measurements for the three-hour period prior to a given hour and the digital forecasts at the three-hour interval. Estimates of daily maximum wind speed were obtained from the regression equation finding the greatest value among the maximum wind speed at the three-hour interval. The estimation error for the daily maximum wind speed was expressed using normal distribution and Weibull distribution probability density function. The daily maximum wind speed was compared with the critical wind speed that could cause crop damage to determine the level of stages for wind damage, e.g., "watch" or "warning." Spatial interpolation of the regression coefficient for the maximum wind speed, the standard deviation of the estimation error at the automated weather stations, the parameters of Weibull distribution was performed. These interpolated values at the four synoptic weather stations including Suncheon, Namwon, Imsil, and Jangsu were used to estimate the daily maximum wind speed in 2012. The wind damage risk was determined using the critical wind speed of 10m/s under the assumption that the fruit of a pear variety Mansamgil would begin to drop at 10 m/s. The results indicated that the Weibull distribution was more effective than the normal distribution for the estimation error probability distribution for assessing wind damage risk.