• 제목/요약/키워드: Linear formula

검색결과 454건 처리시간 0.02초

선형계획법에 의한 최소비용사료 배합에 관한 연구 (A Study on the Least Cost Ration Formulation by Linear Programming -For the multi-mix problem -)

  • 민병준
    • 한국가금학회지
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    • 제8권1호
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    • pp.25-30
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    • 1981
  • This study was conducted to find the method that the least-cost formula can be determined thus allowing a better keeping of raw material supplies under the constraints having to be used some raw materials that are either in limited supply or for other reason in restricted use. In this study, it was considered that three kinds of feed were produced under limited supply of six kinds of raw materials, and data for the analysis were collected from a feed mill in southern part of Korea. According to the result of this study, it was proved better to determine the least-cost formula as the multi-mix problem than as the simple least-cost problem when more than two kinds of feed were produced wilt limited supply of raw materials.

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Construction and Application of Experimental Formula for Nonlinear Behavior of Ferroelectric Ceramics Switched by Electric Field at Room Temperature during Temperature Rise

  • Ji, Dae Won;Kim, Sang-Joo
    • 한국세라믹학회지
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    • 제55권1호
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    • pp.67-73
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    • 2018
  • A poled lead zirconate titanate (PZT) cube specimen that is switched by an electric field at room temperature is subject to temperature increase. Changes in polarization and thermal expansion coefficients are measured during temperature rise. The measured data are analyzed to obtain changes in pyroelectric coefficient and strain during temperature change. Empirical formulae are developed using linear or quadratic curve fitting to the data. The nonlinear behavior of the materials during temperature increase is predicted using the developed formulae. It is shown that the calculation results can be compared successfully with the measured values, which proves the accuracy and reliability of the developed formulae for the nonlinear behavior of the materials during temperature changes.

취급자재의 무게와 성별이 균형 능력에 미치는 영향 (An Effect of Load and Genders on Postural Stability)

  • 양병학
    • 대한안전경영과학회지
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    • 제12권3호
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    • pp.101-106
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    • 2010
  • The purposes of this paper are to investigate an effect of weight of material and gender on postural stability and to introduce formulas for those. There were five levels of weights 0, 9, 18, 27 and 36 kg, and two levels of genders were conducted. Eight male and five female subjects participated in this experiment, ten tests were performed for each level of weights to measure the postural stability by using the stability platform. The effect of the genders and the load on the postural stability were statistically analysed by the two way ANOVA test and the regression analysis. The ANOVA test showed that the effect of weights was statistically significant on postural stability to the both male and female subjects. And the postural stability of female subjects was better than that of male subjects. A linear regression formula for the balancing time and the load and a formula for the reduction rate postural stability and the relative load were introduced by the regression analysis.

회귀분석법에 의한 선박 소음 예측에 관한 연구 (Application of Multiple Regression Method to Prediction of Noise Level in Ship Cabins)

  • 김동해;정균양
    • 대한조선학회논문집
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    • 제31권3호
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    • pp.112-118
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    • 1994
  • 본 연구에서는 선박의 초기 설계시에 비교적 간단한 자료로 각 선실에서의 소음수준을 예측하기 위한 방법으로 다중 회귀 분석법에 근거한 통계적 접근을 시도하였다. 선실에서의 소음수준에 영향을 미치는 여러 변수중에서, 선종, 재화중량, 주기관과 선실의 위치, 거주구 형상, 선실의 종류 및 프로펠러 스큐등이 최종 회귀식에 포함되었다. 회귀식의 추출시 사용하지 않은 6척 210개 선실에 대하여 검증을 실시한 결과, 77%의 선실이 3 dB 이내의 오차범위에 있음을 확인하였다.

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Moment of inertia of liquid in a tank

  • Lee, Gyeong Joong
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제6권1호
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    • pp.132-150
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    • 2014
  • In this study, the inertial properties of fully filled liquid in a tank were studied based on the potential theory. The analytic solution was obtained for the rectangular tank, and the numerical solutions using Green's 2nd identity were obtained for other shapes. The inertia of liquid behaves like solid in recti-linear acceleration. But under rotational acceleration, the moment of inertia of liquid becomes small compared to that of solid. The shapes of tank investigated in this study were ellipse, rectangle, hexagon, and octagon with various aspect ratios. The numerical solutions were compared with analytic solution, and an ad hoc semi-analytical approximate formula is proposed herein and this formula gives very good predictions for the moment of inertia of the liquid in a tank of several different geometrical shapes. The results of this study will be useful in analyzing of the motion of LNG/LPG tanker, liquid cargo ship, and damaged ship.

Practical formula for determining peak acceleration of footbridge under walking considering human-structure interaction

  • Cao, Liang;Zhou, Hailei;Chen, Y. Frank
    • Structural Engineering and Mechanics
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    • 제83권6호
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    • pp.729-744
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    • 2022
  • In this paper, an analytical formulation is proposed to predict the vertical vibration response due to the pedestrian walking on a footbridge considering the human-structure interaction, where the footbridge and pedestrian are represented by the Euler beam and linear oscillator model, respectively. The derived coupled equation of motion is a nonlinear fourth-order partial differential equation. An uncoupled solution strategy based on the combined weighted residual and perturbation method) is proposed to reduce the tedious computation, which allows the separate integration between the bridge and pedestrian subsystems. The theoretical study demonstrates that the pedestrian subsystem can be treated as a structural system with added mass, damping, and stiffness. The analysis procedure is then applied to a case study under the conditions of single pedestrian and multi pedestrians, and the results are validated and compared numerically. For convenient vibration design of a footbridge, the simplified peak acceleration formula and the idea of decoupling problem are thus proposed.

CFD와 Kirchhoff 방법의 결합을 이용한 로터의 고속 충격소음 해석 (Rotor High-Speed Noise Prediction with a Combined CFD-Kirchhoff Method)

  • 이수갑;윤태석
    • 소음진동
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    • 제6권5호
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    • pp.607-616
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    • 1996
  • A combined computational fluid dynamics(CFD)-Kirchhoff method is presented for predicting high-speed impulsive noise generated by a hovering blade. Two types of Kirchhoff integral formula are used; one for the classical linear Kirchhoff formulation and the other for the nonlinear Kirchhoff formulation. An Euler finite difference solver is solved first to obtain the flow field close to the blade, and then this flow field is used as an input to a Kirchhoff formulation to predict the acoustic far-field. These formulas are used at Mach numbers of 0.90 and 0.95 to investigate the effectiveness of the linear and nonlinear Kirchhoff formulas for delocalized flow. During these calculiations, the retarded time equation is also carefully examined, in particular, for the cases of the control surface located outside of the sonic cylinder, where multiple roots are obtained. Predicted results of acoustic far-field pressure with the linear Kirchhoff formulation agree well with experimental data when the control surface is at the certain location(R=1.46), but the correlation is getting worse before or after this specific location of the control surface due to the delocalized nonlinear aerodynamic flow field. Calculations based on the nonlinear Kirchhoff equation using a linear sonic cylinder as a control surface show a reasonable agreement with experimental data in negative amplitudes for both tip Mach numbers of 0.90 and 0.95, except some computational integration problems over a shock. This concliudes that a nonlinear formulation is necessary if the control surface is close to the blade and the flow is delocalized.

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전자출판에서 입.출력 장치의 컬러 관리에 관한 연구 (I) (A Study on Color Management of Input and Output Device in Electronic Publishing (I))

  • 조가람;김재해;구철회
    • 한국인쇄학회지
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    • 제25권1호
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    • pp.11-26
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    • 2007
  • In this paper, an experiment was done where the input device used the linear multiple regression and the sRGB color space to perform a color transformation. The output device used the GOG, GOGO and sRGB for the color transformation. After the input device underwent a color transformation, a $3\;{\times}\;20\;size$ matrix was used in a linear multiple regression and the scanner's color representation of scanner was better than a digital still camera's color representation. When using the sRGB color space, the original copy and the output copy had a color difference of 11. Therefore it was more efficient to use the linear multiple regression method than using the sRGB color space. After the input device underwent a color transformation, the additivity of the LCD monitor's R, G and B signal value improved and therefore the error in the linear formula transformation decreased. From this change, the LCD monitor with the GOG model applied to the color transformation became better than LCD monitors with other models applied to the color transformation. Also, the color difference varied more than 11 from the original target in CRT and LCD monitors when a sRGB color transformation was done in restricted conditions.

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CONDITION NUMBER FOR THE W- WEIGHTED DRAZIN INVERSE AND ITS APPLICATIONS IN THE SOLUTION OF RECTANGULAR LINEAR SYSTEM

  • CUI XIAOKE;DIAO HUAIAN
    • Journal of applied mathematics & informatics
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    • 제20권1_2호
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    • pp.35-59
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    • 2006
  • In this paper, we generalized the results of [23, 26], and get the results of the condition number of the W-weighted Drazin-inverse solution of linear system W AW\chi=b, where A is an $m{\times}n$ rank-deficient matrix and the index of A W is $k_1$, the index of W A is $k_2$, b is a real vector of size n in the range of $(WA)^{k_2}$, $\chi$ is a real vector of size m in the range of $(AW)^{k_1}$. Let $\alpha$ and $\beta$ be two positive real numbers, when we consider the weighted Frobenius norm $\|[{\alpha}W\;AW,\;{\beta}b]\|$(equation omitted) on the data we get the formula of condition number of the W-weighted Drazin-inverse solution of linear system. For the normwise condition number, the sensitivity of the relative condition number itself is studied, and the componentwise perturbation is also investigated.

임의 최소주응력 구간에서 일반화된 Hoek-Brown 파괴기준식을 최적 근사하는 등가 Mohr-Coulomb 강도정수 계산식 (Analytical Formula for the Equivalent Mohr-Coulomb Strength Parameters Best-fitting the Generalized Hoek-Brown Criterion in an Arbitrary Range of Minor Principal Stress)

  • 이연규
    • 터널과지하공간
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    • 제29권3호
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    • pp.172-183
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    • 2019
  • Hoek et al.(2002)이 개발한 일반화된 Hoek-Brown(GHB) 파괴기준식은 암반의 파괴응력 조건을 정의하는 비선형 함수이다. 관련 강도정수들은 GSI 지수값을 이용하여 체계적으로 결정된다. GSI 지수는 현장 암반의 상태를 정량화한 수치이므로 GHB 파괴기준식은 현장의 암반조건을 파괴기준식에 반영할 수 있는 실용적인 암반파괴함수이다. 대부분의 암반공학 기술자들이 선형 Mohr-Coulomb 파괴기준식에 익숙하며, 다수의 암반공학 소프트웨어들이 Mohr-Coulomb 식을 채택하고 있음을 고려하여 등가마찰각과 등가점착력 계산식이 GHB 파괴기준식 발표와 함께 제시되었다. 그러나 이 목적으로 제시된 등 가마찰각 및 등가점착력 계산식은 선형 최적화가 수행되는 최소주응력 범위의 하한 값을 암반의 인장강도로 고정시키고 있다. 따라서 해석영역에 인장응력이 분포하지 않은 경우 Hoek et al.(2002)의 제안식을 이용한 등가마찰각 및 등가점착력 산정결과는 정확성이 떨어질 수 있다. 이러한 기존 등가마찰각 및 등가점착력 산정수식의 단점을 극복하기 위하여 이 연구에서는 임의의 최소주응력 구간에 대해서도 최적 등가마찰각과 등가점착력을 계산할 수 있는 해석적 수식을 유도하고 결과식의 정확성을 검증하였다.