• Title/Summary/Keyword: Upper/Lower Limit

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An alternative approach to extreme value analysis for design purposes

  • Bardsley, Earl
    • Proceedings of the Korea Water Resources Association Conference
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    • 2016.05a
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    • pp.201-201
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    • 2016
  • The asymptotic extreme value distributions of maxima are a natural choice when designing against future extreme events like flood peaks or wave heights, given a stationary time series. The generalized extreme value distribution (GEV) is often utilised in this context because it is seen as a convenient single expression for extreme event analysis. However, the GEV has a drawback because the location of the distribution bound relative to the data is a discontinuous function of the GEV shape parameter. That is, for annual maxima approximated by the Gumbel distribution, the data is also consistent with a GEV distribution with an upper bound (no lower bound) or a GEV distribution with a lower bound (no upper bound). A more consistent single extreme value expression for design purposes is proposed as the Weibull distribution of smallest extremes, as applied to transformed annual maxima. The Weibull distribution limit holds here for sufficiently large sample sizes, irrespective of the extreme value domain of attraction applicable to the untransformed maxima. The Gumbel, Type 2, and Type 3 extreme value distributions thus become redundant, together with the GEV, because in reality there is only a single asymptotic extreme value distribution required for design purposes - the Weibull distribution of minima as applied to transformed maxima. An illustrative synthetic example is given showing transformed maxima from the normal distribution approaching the Weibull limit much faster than the untransformed sample maxima approach the normal distribution Gumbel limit. Some New Zealand examples are given with the Weibull distribution being applied to reciprocal transformations of annual flood maxima, where the untransformed maxima follow apparently different extreme value distributions.

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Face stability analysis of large-diameter underwater shield tunnel in soft-hard uneven strata under fluid-solid coupling

  • Shanglong Zhang;Xuansheng Cheng;Xinhai Zhou;Yue Sun
    • Geomechanics and Engineering
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    • v.32 no.2
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    • pp.145-157
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    • 2023
  • This paper aims at investigating the face stability of large-diameter underwater shield tunnels considering seepage in soft-hard uneven strata. Using the kinematic approach of limit upper-bound analysis, the analytical solution of limit supporting pressure on the tunnel face considering seepage was obtained based on a logarithmic spiral collapsed body in uneven strata. The stability analysis method of the excavation face with different soft- and hard-stratum ratios was explored and validated. Moreover, the effects of water level and burial depth on tunnel face stability were discussed. The results show the effect of seepage on the excavation face stability can be accounted as the seepage force on the excavation face and the seepage force of pore water in instability body. When the thickness ratio of hard soil layer within the excavation face exceeds 1/6D, the interface of the soft and hard soil layer can be placed at tunnel axis during stability analysis. The reliability of the analytical solution of the limit supporting pressure is validated by numerical method and literature methods. The increase of water level causes the instability of upper soft soil layer firstly due to the higher seepage force. With the rise of burial depth, the horizontal displacement of the upper soft soil decreases and the limit supporting pressure changes little because of soil arching effect.

Stability of the axially compliant fixed scroll in scroll compressors (스크롤 압축기에서 축방향 순응하는 고정부재의 안정성)

  • Kim, H.J.;Lee, W.H.
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.9 no.2
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    • pp.93-103
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    • 1997
  • This study presents a way of improving the stability of fixed scroll in scroll compressors. For the scroll compressor whose fixed scroll is designed to move in the axial direction for the axial compliance, the fixed scroll is under the influence of the overturning moment produced by internal gas forces. Unless the overturning moment is properly compensated by the moments of reaction forces at the suspension of the fixed scroll to the compressor frame, the fixed scroll would exhibit wobbling motion, increasing gas leakage through the gap induced by the wobbling of the fixed scroll between the two scroll members. The conditions on which the wobbling motion can be suppressed have been found analytically; The axial position of the fixed scroll suspension should be made within a certain range. The upper limit of this range is the axial location for the o-rings which are inserted between the fixed scroll and the back pressure chamber to promote sealing for the gas in the back pressure chamber. And the lower limit is mainly determined by the magnitude of the axial sealing force. As long as the axial sealing force is not negative over all crank angles, the lower limit is not above the mid-height of the scroll wrap. Larger axial sealing force lower the lower limit.

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Quality Control on the BOD, COD, TN, TP of Water Quality Pollutant (수질오염물질 BOD, COD, TN, TP의 정도관리(I))

  • Park, Sun-Ku;Kim, Tae-Seung;Ryu, Jae-Kyun
    • Analytical Science and Technology
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    • v.12 no.4
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    • pp.312-317
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    • 1999
  • Quality control was carried out the three analytes, BOD, COD, TN, TP of high and low concentration for thirteen laboratories. Evaluation values of Quality control was determined from average value which were made by six times test, repeatedly and periodically. This value had not only error ratio of within 5% from prepared sample value but also high precision of standard deviation, 0.44 (BOD, low concentration), 2.15 (BOD, high concentration), 0.12 (COD, low concentration), 1.63 (COD, high concentration), 0.35 (TN, low concentration), 1.99 (TN, high concentration), 0.05 (TP, low concentration), 0.14 (TP, high concentration). Upper (Lower) Warning Limit (ULWL) and Upper (Lower) Acceptance Limit (ULAL) values made from quality control chart. Three (5.30, 9.70, 5.30 mg/L) and five laboratories were over ULAL value in low and high BOD concentration, respectively. Two (41.00, 30.60 mg/L) and four laboratories were over ULAL value in low and high COD concentration, respectively. while, other eleven laboratories appeared reliable data. One laboratory (0.70 mg/L) was over ULAL at low TN concentration, while other eleven laboratories had reliable values. In case of high TN concentration, eleven laboratories were over ULAL value, it should be focuced for improvement of reliability about measurement and analysis of TN. Four (1.14, 0.45, 0.64, 1.49mg/L) and seven laboratories were over ULAL in low and high TP concentration, respectively.

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Normal Range of Blood Pressure of Korean (한국인혈압(韓國人血壓)의 정상치역(正常値域))

  • Kim, In-Dal;Ahn, Yoon-Ok;Cho, Soo-Hun
    • Journal of Preventive Medicine and Public Health
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    • v.7 no.2
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    • pp.395-401
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    • 1974
  • In order to figure out the normal range, lower limit of hypertension and upper limit of hypotension of the blood pressure of Korean, authors had measured blood pressure according to Korotkow's method for 31,897 healthy persons as samples who were occupied different levels of the social class except cases who would seem to be the essential hypertension and had the diseases affecting to secondary hypertension. A following conclusion was induced by actual measurement and statistical reasoning. 1. The normal range and limits of hypo- and hypertension by sex and age groups of Korean were demonstrated in Table 1 and Figure 1. 2. The more aging the higher value of blood pressure in both sexes, especially women rather than men and systolic as to diastolic. 3. Generally, blood pressure values of female were lower than male, after 55 years of age, however, the crossing phenomenon was recognizable. 4. To settle the normal and abnormal ranges of the blood pressure of Korean, it was attempted that $M{\pm}1.282{\sigma}$ as normal range, $M+2{\sigma}$ as lower limit of hypertension and $M-2{\sigma}$ as upper limit of hypotension were calculated, and regression lines were drawn to adjust the biological variables and derive continuity from each age class. (Fig. 2 and 3) 5. The blood pressure levels were becoming elevated as to getting increased of the body weight, particularly diastolic value at 40-49 age group in male and systolic value at 30-39 age group in female.

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Prediction of Upper Explosion Limits(UEL) by Measurement of Upper Flash Point Using Setaflash Apparatus for n-Alcohols (Setaflash 장치를 이용한 노말 알코올류의 상부인화점 측정에 의한 폭발상한계의 예측)

  • Ha, Dong-Myeong
    • Journal of the Korean Society of Safety
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    • v.25 no.2
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    • pp.35-40
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    • 2010
  • Explosion limit and flash point are the major combustion properties used to determine the fire and explosion hazards of the flammable substances. In this study, in order to predict upper explosion limits(UEL), the upper flash point of n-alcohols were measured under the VLE(vapor-liquid equilibrium) state by using Setaflash closed cup tester(ASTM D3278). The UELs calculated by Antoine equation using the experimental upper flash point are usually lower than the several reported UELs. From the given results, using the proposed experimental and predicted method, it is possible to research the upper explosion limits of the other flammable substances.

Boarding environment of training ship KAYA for the hull vibration (실습선 가야호의 선체진동에 대한 승선환경)

  • Kim, Min-Son;Shin, Hyeon-Ok;Kim, Min-Seok;Han, Jin-Seok
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.45 no.1
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    • pp.46-55
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    • 2009
  • To compare and evaluate the suitability and comfort levels of the environment on board a stern trawl training ship, KAYA(GT: 1737 tons, Pukyong National University), with the international standardization guide ISO 6954:2000(E), measurements of the hull vibration on accommodation areas and working areas of the training ship from July 8 to July 10, 2008 were completed upon KAYA's linear sea route. The vibrations along the z-axis were measured with the use of a 3-axis vibration level meter, which included a marine vibration card. Results show accelerations of the vibrations on the passenger's accommodation area to be 42.0-115.8(average: 78.0, standard deviation(SD): 21.0) mm/$s^2$, which is largely below the permissible upper limit, but 75 % of the observation points exceeded the permissible lower limit of 71.5 mm/$s^2$, indicating a comfortable environment. The accelerations of the vibration in a frequency of 10-24Hz lowering the visual performance were measured at 2.5-12.0(average: 7.6, SD: 3.1) mm/$s^2$. The crew s accommodation area experienced vibration accelerations of 42.9-82.3(average: 93.1, SD: 53.1) mm/$s^2$, which is generally below the permissible upper limit of 214.0 mm/$s^2$, and 62.5% of the observation points did not exceed the permissible lower limit of 107.0 mm/$s^2$, denoting a level of comfort. The acceleration of the vibration in a frequency of 10-24Hz were 4.7-28.3(average: 12.4, SD: 8.8) mm/$s^2$. On the crew s working area the accelerations were measured at 86.9-153.9(average 119.3, SD 18.0) mm/$s^2$. These values were generally below the permissible upper limit of 286.0 mm/$s^2$ and only 12.5% of the observation points did not exceed the permissible lower limit of 143.0 mm/$s^2$, the level at which a high level of comfort is maintained. The accelerations in frequency of 10-24Hz and 30Hz were 9.1-29.8 (average 13.8, SD= 4.5) mm/$s^2$ and 8.9-13.7 (average 11.8, SD 2.1) mm/$s^2$, respectively. In conclusion the boarding environment of the training ship was good in general although an improvement of the vibration condition partially needed on the crew s accommodation area near the engine room.

The Measurement of Combustible Properties of Acetic Anhydride for the Compatibility of MSDS (MSDS 적정성을 위한 아세틱안하이드리드의 연소특성치 측정)

  • Ha, Dong-Myeong
    • Journal of the Korean Society of Safety
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    • v.29 no.4
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    • pp.85-90
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    • 2014
  • For the safe handling of acetic anhydride, this study was investigated the explosion limits of acetic anhydride in the reference data. And the lower flash points, upper flash points, and AITs(auto-ignition temperatures) by ignition delay time were experimented. The lower and upper explosion limits of acetic anhydride by the investigation of the literatures recommended 2.9 Vol% and 10.3 Vol.%, respectively. The lower flash point of acetic anhydride by using Setaflash closed-cup tester was experimented $49^{\circ}C$. The lower flash point acetic anhydride by using Tag and Cleveland open cup tester were experimented $55^{\circ}C$and $62^{\circ}C$, respectively. Also, this study measured relationship between the AITs and the ignition delay times by using ASTM E659 tester for acetic anhydride. The experimental AIT of acetic anhydride was $350^{\circ}C$.

A Study on the Reliability of the Combustible Properties for Acrylic Acid (아크릴릭산의 연소특성치의 신뢰성 연구)

  • Ha, Dong-Myeong
    • Journal of Energy Engineering
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    • v.24 no.3
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    • pp.20-26
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    • 2015
  • For the reliability of the combustible properties of arylic acid, this study was investigated the explosion limits of acrylic acid in the reference data. The flash points and AITs(auto-ignition temperatures) by ignition delay time were experimented. The lower flash points of acrylic acid by using Setaflash and Pensky-Martens closed-cup testers were experimented in $48^{\circ}C$ and $51^{\circ}C$, respectively. The lower flash points of arylic acid by using Tag and Cleveland open cup testers were experimented in $56^{\circ}C$. This study measured relationship between the AITs and the ignition delay times by using ASTM E659 tester for acrylic acid. The AIT of acrylic acid was experimented as $417^{\circ}C$. The lower explosion limit(LEL) and the upper explosion limit(UEL) by the measured the lower flash point and the upper flash point of acrylic acid were calculated as 2.2 Vol% and 7.9 Vol%, respectively.

Influence of different fatigue loads and coating thicknesses on service performance of RC beam specimens with epoxy-coated reinforcement

  • Wang, Xiao-Hui;Gao, Yang;Gao, Run-Dong;Wang, Jing;Liu, Xi-La
    • Computers and Concrete
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    • v.19 no.3
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    • pp.243-256
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    • 2017
  • Epoxy-coated reinforcing bars are widely used to protect the corrosion of the reinforcing bars in the RC elements under their in-service environments and external loads. In most field surveys, it was reported that the corrosion resistance of the epoxy-coated reinforcing bars is typically better than the uncoated bars. However, from the experimental tests conducted in the labs, it was reported that, under the same loads, the RC elements with epoxy-coated reinforcing bars had wider cracks than the elements reinforced with the ordinary bars. Although this conclusion may be true considering the bond reduction of the reinforcing bar due to the epoxy coating, the maximum service loads used in the experimental research may be a main reason. To answer these two phenomena, service performance of 15 RC beam specimens with uncoated and epoxy-coated reinforcements under different fatigue loads was experimentally studied. Influences of different coating thicknesses of the reinforcing bars, the fatigue load range and load upper limit as well as fatigue load cycles on the mechanical performance of RC test specimens are discussed. It is concluded that, for the test specimens subjected to the comparatively lower load range and load upper limit, adverse effect on the service performance of test specimens with thicker epoxy-coated reinforcing bars is negligible. With the increments of the coating thickness and the in-service loading level, i.e., fatigue load range, load upper limit and fatigue cycles, the adverse factor resulting from the thicker coating becomes noticeable.