• Title/Summary/Keyword: root distribution

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An Application of the Maximum Principle to Distributive Electrical Circuits (분포정수를 갖는 전기회로에 대한 최대원리의 응용)

  • Yang, Heung-Suk
    • 전기의세계
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    • v.18 no.6
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    • pp.9-22
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    • 1969
  • This thesis has suggested a method of applying the Maximum Principle of Pontryagin to the optimal control of distributive electrical networks. In general, electrical networks consist of branches, nodes, sources and loads. The effective values of steady state currents and voltages are independent of time but only expressed as the functions of position. Moreover, most of the node voltages and branch currents are not predetermined, that is, initially unknown, and their inherent loop characteristics satisfy only Kirchhoff's current and voltage laws. The Maximum Principle, however, needs the initial fixed values of all state variables for its standand way of application. In spite of this inconsistency this thesis has undertaken to suggest a new approach to the successful solution of the above mentioned networks by introducing scaling factors and a state variable change technique which transform the boundary-value unknown problem into the boundary-value partially fixed and partially free problem. For the examples of applying the method suggested, the control problems for minimizing copper quantity in a distribution line have been solved with voltage drop constraint imposed on. In the case of uniform load distribution it has been shown that the optimal wire diameter of the distribution line is reciprocally proportional to the root of distance. For the same load pattern as above the wire diameter giving the minimum copper loss in the distribution line has been shown to be reciprocally proportional to distance.

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PHOTOELASTIC STRESS ANALYSIS ON THE SUPPORTING TISSUE OF MANDIBULAR DISTAL EXTENSION REMOVABLE PARTIAL DENTURE WITH VARIOUS DESIGN OF DIRECT RETAINERS (직접유지장치 설계 변화에 따른 하악 후방연장 국소의치 지지조직의 광탄성 응력분석)

  • Lee Chang-Ho;Kim Kwang-Nam;Chang Ik-Tae
    • The Journal of Korean Academy of Prosthodontics
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    • v.30 no.2
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    • pp.203-224
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    • 1992
  • The purpose of this study was to evaluate the stress distribution developed in supporting structures by distal extension removable partial denture with 4-types of direct retainer. The direct retainers examined were Akers clasp, RPI clasp, RPA clasp and RPL clasp in bilateral & unilateral free end case. 3-dimensional photoelastic stress analysis was used to record the isochromatic fringe patterns and to calculate the compressive stress at measuring points. The results were as follows. 1. In bilateral free end case, RPI clasp exhibited the similar stress distribution on distal and mesial alveolar crest but Akers clasp exhibited higher stress concentration on distal alveolar crest than mesial alveolar crest. 2. In bilateral free end case, RPA clasp and RPL clasp exhibited the similar stress distribution on distal and mesial alveolar crest and RPL clasp exhibited higher stress concentration on buccal alveolar crest than lingual alveolar crest. 3. Akers clasp produced high stress concentration on residual alveolar ridge distally, but RPI clasp, RPA clasp and RPL clasp produced even stress distribution on residual alveolar ridge. 4. Removable partial denture in unilateral free end case exerted higher stress on abutment tooth root apex than bilateral distal extension removable partial denture.

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Estimation of weibull parameters for wind energy application in Iran's cities

  • Sedghi, Majid;Hannani, Siamak K.;Boroushaki, Mehrdad
    • Wind and Structures
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    • v.21 no.2
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    • pp.203-221
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    • 2015
  • Wind speed is the most important parameter in the design and study of wind energy conversion systems. The weibull distribution is commonly used for wind energy analysis as it can represent the wind variations with an acceptable level of accuracy. In this study, the wind data for 11 cities in Iran have been analysed over a period of one year. The Goodness of fit test is used for testing data fit to weibull distribution. The results show that this data fit to weibull function very well. The scale and shape factors are two parameters of the weibull distribution that depend on the area under study. The kinds of numerical methods commonly used for estimating weibull parameters are reviewed. Their performance for the cities under study was compared according to root mean square and wind energy errors. The result of the study reveals the empirical, modified maximum likelihood estimate of wind speed with minimum error. Also, that the moment and modified maximum likelihood are the best methods for estimating the energy production of wind turbines.

Stress distribution of oval and circular fiber posts in amandibular premolar: a three-dimensional finite element analysis

  • Er, Ozgur;Kilic, Kerem;Esim, Emir;Aslan, Tugrul;Kilinc, Halil Ibrahim;Yildirim, Sahin
    • The Journal of Advanced Prosthodontics
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    • v.5 no.4
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    • pp.434-439
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    • 2013
  • PURPOSE. The aim of the present study was to evaluate the effects of posts with different morphologies on stress distribution in an endodontically treated mandibular premolar by using finite element models (FEMs). MATERIALS AND METHODS. A mandibular premolar was modeled using the ANSYS software program. Two models were created to represent circular and oval fiber posts in this tooth model. An oblique force of 300 N was applied at an angle of $45^{\circ}$ to the occlusal plane and oriented toward the buccal side. von Mises stress was measured in three regions each for oval and circular fiber posts. RESULTS. FEM analysis showed that the von Mises stress of the circular fiber post (426.81 MPa) was greater than that of the oval fiber post (346.34 MPa). The maximum distribution of von Mises stress was in the luting agent in both groups. Additionally, von Mises stresses accumulated in the coronal third of root dentin, close to the post space in both groups. CONCLUSION. Oval fiber posts are preferable to circular fiber posts in oval-shaped canals given the stress distribution at the postdentin interface.

Faraday Rotation Measure in the Large Scale Structure III

  • Akahori, Takuya;Ryu, Dong-Su
    • The Bulletin of The Korean Astronomical Society
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    • v.35 no.2
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    • pp.75.1-75.1
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    • 2010
  • The nature and origin of the intergalactic magnetic field (IGMF) are an outstanding problem of cosmology, yet they are not well understood. Measuring Faraday rotation (RM) is one of a few promising methods to explore the IGMF. We have theoretically investigated RM using a model of the IGMF based on a MHD turbulence dynamo (Ryu et al. 2008; Cho et al. 2009). In the previous KAS meeting, we reported the results for the present-day local universe; for instance, the probability distribution function (PDF) of ${\mid}RM{\mid}$ follows the lognormal distribution, the root mean square (rms) value for filaments is ~1 rad m^{-2}, and the power spectrum peaks at ~1 h^{-1} Mpc scale. In this talk, we extend our study of RM; by stacking simulation data up to redshift z=5 and taking account of the redshift distribution of radio sources, we have reproduced an observable view of RM through filaments against background radio sources. Our findings are as follows. The inducement of RM is a random walk process, so that the rms of RM increases with increasing path length. The rms value of RM for filaments reaches several rad m^{-2}. The PDF still follows the lognormal distribution, and the power spectrum of RM peaks at less than degree scale. Our predictions of RM could be tested, for instance, with LOFAR, ASKAP, MEERKAT, and SKA.

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Evaluation of wind loads and the potential of Turkey's south west region by using log-normal and gamma distributions

  • Ozkan, Ramazan;Sen, Faruk;Balli, Serkan
    • Wind and Structures
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    • v.31 no.4
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    • pp.299-309
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    • 2020
  • In this study, wind data such as speeds, loads and potential of Muğla which is located in the southwest of Turkey were statistically analyzed. The wind data which consists of hourly wind speed between 2010 and 2013 years, was measured at the 10-meters height in four different ground stations (Datça, Fethiye, Marmaris, Köyceğiz). These stations are operated by The Turkish State Meteorological Service (T.S.M.S). Furthermore, wind data was analyzed by using Log-Normal and Gamma distributions, since these distributions fit better than Weibull, Normal, Exponential and Logistic distributions. Root Mean Squared Error (RMSE) and the coefficients of the goodness of fit (R2) were also determined by using statistical analysis. According to the results, extreme wind speed in the research area was 33 m/s at the Datça station. The effective wind load at this speed is 0.68 kN/㎡. The highest mean power densities for Datça, Fethiye, Marmaris and Köyceğiz were found to be 46.2, 1.6, 6.5 and 2.2 W/㎡, respectively. Also, although Log-normal distribution exhibited a good performance i.e., lower AD (Anderson - Darling statistic (AD) values) values, Gamma distribution was found more suitable in the estimation of wind speed and power of the region.

Estimation of Design Floods Using 3 and 4 Parameter Kappa Distributions (3변수 및 4변수 Kappa 분포에 의한 설계홍수량 추정)

  • Maeng, Seung-Jin;Kim, Byeoung-Jun;Kim, Hyung-San
    • Journal of The Korean Society of Agricultural Engineers
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    • v.51 no.4
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    • pp.49-55
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    • 2009
  • This paper is to induce design floods through L-moment with 3 and 4 parameter Kappa distributions including test of independence by Wald-Wolfowitz, homogeneity by Mann-Whitney and outlier by Grubbs-Beck on annual maximum flood flows at 9 water level gaging stations in Han, Nakdong and Geum Rivers of South Korea. After analyzing appropriateness of the data of annual maximum flood flows by Kolmogorov-Smirnov test, 3 and 4 Kappa distributions were applied and the appropriateness was judged. The parameters of 3 and 4 Kappa distributions were estimated by L-moment method and the design floods by water level gaging station was calculated. Through the comparative analysis using the relative root mean square errors (RRMSE) and relative absolute errors (RAE) calculated by 3 and 4 parameter Kappa distributions with 4 plotting position formulas, the result showed that the design floods by 4 parameter Kappa distribution with Weibull and Cunnane plotting position formulas are closer to the observed data than those obtained by 3 parameter Kappa distribution with 4 plotting position formulas and 4 parameter Kappa distribution with Hazen and Gringorten plotting position formulas.

Distribution and anatomical characteristics of Trachelospermum asiaticum in Korea (한국산 마삭줄의 분포 및 해부학적 특징)

  • Park, Jong-Soo;Lee, Jung-Hyun;Cho, Won-Bum;Lee, Dong-Hyuk;Choi, In-Su;Oh, Byoung-Un;Choi, Byoung-Hee
    • Korean Journal of Plant Taxonomy
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    • v.41 no.2
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    • pp.138-143
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    • 2011
  • Based on specimens examined, a distribution map of Trachelospermum asiaticum in Korea is provided. The species is distributed on Jeju Island and over the southern and western coastal areas in Korea. The northern limit of distribution is the Deokjeok Islands of Incheon. The distributional range of this species is consistent with that of the Jeju and South coastal floristic subregions of Korea. On the other hand, we investigated the anatomical characteristics of root, stem, leaf and ovary, in addition to the ultrastructure of pollen grains and leaf surfaces of the species, as these have been scarcely examined.

A Numerical Analysis of Flow and Beat Transfer Characteristics of a Two-Dimensional Multi-Impingement Jet(I) (이차원 다중젯트의 유동 및 열전달 특성의 수치적 해석(I) -돌출열원이 없는 경우의 유동특성-)

  • 장대철;이기명
    • Journal of Biosystems Engineering
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    • v.20 no.1
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    • pp.58-65
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    • 1995
  • A numerical study for a two dimensional multi-jet with crossflow of the spent fluid has been carried out. Three different distributions of mass-flow rate at 5 jet exits were assumed to see their effects upon the flow characteristics, especially in the jet-flow region. For each distribution, various Reynolds numbers ranging from laminar to turbulent flows were considered. Calculations drew the following items as conclusion. 1) The development of the free jets issued from downstream jets was hindered by the crossflow formed due to jets. Consequently, the free jet was developed into the channel flow without any evident symptom of impingement jet flow characteristics 2) The crossflow induced the pressure gradient along the cross section of jet exits and the value of the pressure gradient increased as going downstream. The crossflow generated also the turbulent kinetic energy as it collied with the downstream jets. 3) The skin friction coefficient along the impingement plate was affected more by the distribution of mass flow rate at jet exits rather than by the Reynolds number. The skin friction coefficient was inversely proportional to the square root of the Reynolds number, regardless of flow regime when a fully developed flow was formed in the jet flow region. 4) The distribution of the skin friction coefficient along the impingement plate was found to be controlled by adjusting the distribution of mass flow rate at jet exits.

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Assessment of Employment in the Development of the Distribution and Accessibility of Information Society in Azerbaijan

  • SALMANOVA, Mahila
    • Journal of Distribution Science
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    • v.20 no.6
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    • pp.67-74
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    • 2022
  • Purpose: In the current era of rapid development of the information and communication technologies (ICT) sector, the formation of an effective regulatory approach is important. There are some methodological shortcomings and difficulties in the approach system of international organizations that assesses the level of application of ICT in various areas in terms of quantity and quality. The basic element of economic growth differs according to the economic conditions prevailing in the period and the country. While the agricultural sector plays an active role in economic growth or development in an underdeveloped country, in a developed country, capital-intensive and even technology-intensive production is the main element of economic growth. From this point of view, the contribution of information and communication technologies (ICT) to Azerbaijan's socio-economy for the period between 2010-2020 will be examined. Research design and methodology: The unit root test and Granger causality test were applied by taking the CDPPC per Capita, Employment, and Unemployment Rate from the social-o-economic data as the dependent variable, fixed and mobile phone usage and internet usage as the independent variables. The principal results: According to the results obtained; It has been determined that the use of ICT positively affects the socio-economic economic situation.