• Title/Summary/Keyword: Bell-shaped distribution

Search Result 19, Processing Time 0.027 seconds

Hull Form Optimization by Modification Function of Bell-shaped Distribution (종모양 분포 변환함수를 이용한 선형최적화 기법에 관한 연구)

  • Choi, Hee-Jong;Kim, Hee-Jung;Chun, Ho-Hwan;Jung, Kwang-Hyo
    • Journal of the Society of Naval Architects of Korea
    • /
    • v.43 no.5 s.149
    • /
    • pp.550-559
    • /
    • 2006
  • A design procedure for a ship with minimum total resistance was developed using a numerical optimization method called SQP(Sequential Quadratic Programming) and a CFD technique based on the Rankine source panel method with the nonlinear free surface boundary conditions. During the whole optimization process the geometry of the hull shape was represented based on the NURBS(Non-uniform rational B-spline) technique and the modification of the hull shape was controlled using the Bell-shaped distribution function to keep the fairness of the hull shape before and after the hull modification. The numerical analysis was carried out using 4000TEU container ship in the towing tank facility installed in the Pusan national university to know the validity of the developed algorithm for this study. As the results of the numerical analysis it proved that the resistance of the optimized hull is conspicuously reduced in comparison with the original hull in a wave-making resistance point of view.

A Study on Stand Structure and Growth Characteristics of Korean White Pine (Pinus koraiensis) in North Central Region of Gangwon Province (강원 중ㆍ북부 지역의 잣나무 임분구조 및 생장특성)

  • Lee, Daesung;Choi, Jungkee
    • Journal of Forest and Environmental Science
    • /
    • v.30 no.1
    • /
    • pp.101-106
    • /
    • 2014
  • The purpose of this research was to figure out the stand structure and growth characteristic with relation to DBH, height, and volume in sixteen Pinus koraiensis plantations of Gangwon province region. Age class was diversely distributed from age class II (16 yr) to age class VIII (77 yr), and, in terms of site index, sixteen regions were superior: nine regions 'high', seven regions 'middle'. The distribution of DBH by sites appeared a bell-shaped curve, and the number of trees was the most in diameter section of 18-22 cm. The dispersion of DBH was various with age and widest ranging from 18 cm to 58 cm in age class VII-VIII. The distribution of height was also a bell-shaped curve with the smaller deviation than the distribution of DBH, and most of trees were in height section of 14-18 m. The correlation of DBH and height was high (r=0.75), and the volume bigger than 1.0 $m^3$ was presented from DBH 35 cm, height 20 m.

The Classification of Forest Communities by Cluster Analysis in Mt. Seokbyung Experimental Forest of Gangwon-Do

  • Chung, Sang-Hoon;Kim, Ji-Hong
    • Journal of Korean Society of Forest Science
    • /
    • v.99 no.5
    • /
    • pp.736-743
    • /
    • 2010
  • This study examined the ecological attributes of classified forest community by cluster analysis in the mixed forest of Mt. Seokbyung Experimental Forest of Gangwon-Do. The vegetation data were collected in randomly established 51 sample plots (2.04 ha) and analysis adopted the cluster analysis, importance value index, and Shannon's diversity index. Main results were as follows; 1) the study area was classified into 4 clusters (A, B, C and D). 2) The cluster A was dominated by Pinus densiflora with an importance value of 71.6%. The most dominant species in the cluster B and cluster C were Larix leptolepis (57.1%) and Quercus mongolica (40.2%), respectively. Finally, The cluster D was dominated by P. densiflora (30.6%) and Q. mongolica (31.0%) with the mixed forest. 3) In the P. densiflora community (cluster A), distribution of DBH class showed a reverse J-shaped curve. In the L. leptolepis community (cluster B), individuals of dominant species had the bell-shaped distribution. Oak species indicated uniform distribution of DBH class (under 25 cm) in the mixed P. densiflora - Q. mongolica community (cluster D). 4) The species diversity index of the communities in descending order were: Pinus densiflora - Q. mongolica community > Larix leptolepis community > Pinus densiflora community > Quercus mongolica community.

EWMA chart Application using the Transformation of the Exponential with Individual Observations (개별 관측치에서 지수변환을 이용한 EWMA 관리도 적용기법)

  • 지선수
    • Journal of Korean Society of Industrial and Systems Engineering
    • /
    • v.22 no.52
    • /
    • pp.337-345
    • /
    • 1999
  • The long-tailed, positively skewed exponential distribution can be made into an almost symmetric distribution by taking the exponent of the data. In these situations, to use the traditional shewhart control limits on an individuals chart would be impractical and inconvenient. The transformed data, approximately bell-shaped, can be plotted conveniently on the individuals chart and exponentially weighted moving average chart. In this paper, using modifying statistics with transformed exponential of the data, we give a method for constructing control charts. Selecting method of exponent for individual chart is evaluated. And consider that smaller weight being assigned to the older data as time process and properties and taking method of exponent($\theta$), weighting factor($\alpha$) are suggested. Our recommendation, on the basis result of simulation, is practical method for EWMA chart.

  • PDF

대관령 가축시험장 지양에 있어서의 몇 개의 방목지에 대한 생태학적 연구

  • 박봉규
    • Journal of Plant Biology
    • /
    • v.5 no.3
    • /
    • pp.1-4
    • /
    • 1962
  • A district (Sae-Bong) and 13 district (Sae-Jang Dong) grassland could be divided into four type of Community: Miscanthus-Community, Glyceria-Community, Festuca-Community, and Plantago-Community. Chose 17 or 20 stands from each district A and B and calculated F.I. with the Curtis method, finally vegetational continuum could be recognized while discontinuous boundary line of species distribution could not be recognized. As a rule the distributional curve of species was binominal or bell shaped. It had a distribution pattern peculiar to itself. As to the relationship of cattles' density and vegetation. I found that the tendency of F.I. moving from small to large paralleled that of disturbance-pressure from weak to strong. Found that the more the steepness of environmental factors be controlled by a rule " from large to small", the more F.I. might be controlled by a rule "from small to large" and that pH, soil-moisture-content, loss on ignition was in relation with the steepness. with the steepness.

  • PDF

Inverse Relationship of Hemiptera Richness with Temperature in South Korea

  • Kwon, Tae-Sung;Jung, Sungcheol;Park, Young-Seuk
    • Korean Journal of Ecology and Environment
    • /
    • v.54 no.2
    • /
    • pp.102-107
    • /
    • 2021
  • The distribution pattern of species richness was determined by temperature. To examine the relationship between hemipteran richness and temperature, hemipteran species were collected using pitfall traps at six different oak forest sites with different annual mean temperatures in South Korea. Multiple linear regression analyses were conducted with mean annual temperature (MAT) and plant richness to evaluate differences in hemipteran richness. The influences of MAT and plant richness of study sites on hemipteran richness were examined by comparing three models (plant richness+MAT+MAT2, plant richness+MAT, and MAT) or two models (plant richness+MAT and MAT). Hemipteran richness showed an inverse diversity pattern as a function of temperature, with higher species richness at lower temperature sites. Meanwhile, Aphididae showed a bell-shaped diversity pattern with the highest value at low medium temperatures. The regression analysis showed that hemipteran richness was affected by temperature and plant richness in their habitats.

Estimation Model and Vertical Distribution of Leaf Biomass in Pinus sylvestris var. mongolica Plantations

  • Liu, Zhaogang;Jin, Guangze;Kim, Ji Hong
    • Journal of Korean Society of Forest Science
    • /
    • v.98 no.5
    • /
    • pp.576-583
    • /
    • 2009
  • Based on the stem analysis and biomass measurement of 36 trees and 1,576 branches in Pinus sylvestris var. mongolica (Mongolian pine) plantations of Northeast China, this study was conducted to develop estimation model equation for leaf biomass of a single tree and branch, to examine the vertical distribution of leaf biomass in the crown, and to evaluate the proportional ratios of biomass by tree parts, stem, branch, and leaf. The results indicated that DBH and crown length were quite appropriate to estimate leaf biomass. The biomass of single branch was highly correlated with branch collar diameter and relative height of branch in the crown, but not much with stand density, site quality, and tree height. Weibull distribution function would have been appropriate to express vertical distribution of leaf biomass. The shape parameters from 29 sample trees out of 36 were less than 3.6, indicating that vertical distribution of leaf biomass in the crown was displayed by bell-shaped curve, a little inclined toward positive side. Apparent correlationship was obtained between leaf biomass and branch biomass having resulted in linear function equation. The stem biomass occupied around 80% and branch and leaf made up about 20% of total biomass in a single tree. As the level of tree class was increased from class I to class V, the proportion of the stem biomass to total biomass was gradually increased, but that of branch and leaf became decreased.

Size-distribution for Major Tree Species in Kwhangnung Forest Communities (광릉 임삼군집내 주요 수종의 직경계분포에 관하여)

  • 김윤동
    • Journal of Plant Biology
    • /
    • v.20 no.4
    • /
    • pp.141-149
    • /
    • 1977
  • In this sampling obtained 7,108 measurements for all trees larger than 2.5cm (1.0 inch) dbh from seven stands in Kwhangnung. In terms of similarity indices seven stands are classified into three kind of forest coniferous, mixed, and broadleaved froest communiteis. For ten major tree species in a three forest communities the size distributions are studied. Two forms of size distributions were observed: (1) linear relationships of log numbers of stem vs. size indicating stablesize distributions; (2) convex to bell shaped size distributions reflecting declining populaitons with a low natality rate. Survivorship analyses showed that successional trends seem to be: Pinus densilfloralongrightarrowQuercus aliena and Q. serratalongrightarrowCarpinus laxifloralongrightarrowC. erosalongrightarrowAcer pseudo-sieboldianum var. Koreanum. These results agree with the results from ordination method. An alternate pathways that Pinus koraiensis seems to be replaced by C. laxiflora were observed. It seems that successional trend is not unidireciton, but rather multi-directional.

  • PDF

Controlling of ring based structure of rotating FG shell: Frequency distribution

  • Hussain, Muzamal
    • Advances in concrete construction
    • /
    • v.14 no.1
    • /
    • pp.35-43
    • /
    • 2022
  • Based on novel Galerkin's technique, the theoretical study gives a prediction to estimate the vibrations of FG rotating cylindrical shell. Terms of ring supports have been introduced by a polynomial function. Three different laws of volume fraction are utilized for the vibration of cylindrical shells. Variation frequencies with the locations of ring supports have been analyzed and these ring supports are placed round the circumferential direction. The base of this approach is an approximate estimation of eigenvalues of proper functions which are the results of solutions of vibrating equation. Each longitudinal wave number corresponds to a particular boundary condition. The results are given in tabular and graphical forms. By increasing different value of height-to-radius ratio, the resulting backward and forward frequencies increase and frequencies decrease on increasing length-to-radius ratio. There is a new form of frequencies is obtained for different positions of ring supports, which is bell shaped. Moreover, on increasing the rotating speed, the backward frequencies increases and forward frequencies decreases.

Wind Flow over Hilly Terrain (언덕지형을 지나는 유동에 관한 연구)

  • 임희창;김현구;이정묵;경남호
    • Journal of Korean Society for Atmospheric Environment
    • /
    • v.12 no.4
    • /
    • pp.459-472
    • /
    • 1996
  • An experimental investigation on the wind flow over smooth bell-shaped two-dimensional hills with hill slopes (the ratio of height to half width) of 0.3 and 0.5 is performed in an atmospheric boundary-layer wind tunnel. Two categories of the models are used in the present investigation; six two-dimensional single-hills, and four continuous double-hills. The measurements of the flow field and surface static-pressure distribution are carried out over the Reynolds number (based on the hill height) of 1.9 $\times 10^4, 3.3 \times 10^4, and 5.6 \times 10^4$. The velocity profiles and turbulence characteristics are measured by the pitot-tube and X-type hot-wire anemometer, respectively. The undisturbed boundary-layer profile on the bottom surface of the wind tunnel is reasonably consistent with the power-law profile with $\alpha = 7.0 (1/\alpha$ is the power-law exponent) and shows good spanwise uniformities. The profiles of turbulent intensity are found to be consistent along the centerline of the wind tunnel. The measured non-dimensional speed-up profiles at the hill crest show good agreements with the predictions of Jackson and Hunt's linear theory. The flow separation occurs in the hill slope of 0.5, and the oil-ink dot method is used to find the reattachment points in the leeside of the hill. The measured reattachment points are compared with the numerical predictions. Comparisons of the mean velocity profiles and surface pressure distributions between the numerical predictions and the experimental results show good agreements.

  • PDF