• 제목/요약/키워드: Characteristic curve

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IMPLICITIZATION OF RATIONAL CURVES AND POLYNOMIAL SURFACES

  • Yu, Jian-Ping;Sun, Yong-Li
    • 대한수학회보
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    • 제44권1호
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    • pp.13-29
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    • 2007
  • In this paper, we first present a method for finding the implicit equation of the curve given by rational parametric equations. The method is based on the computation of $Gr\"{o}bner$ bases. Then, another method for implicitization of curve and surface is given. In the case of rational curves, the method proceeds via giving the implicit polynomial f with indeterminate coefficients, substituting the rational expressions for the given curve and surface into the implicit polynomial to yield a rational expression $\frac{g}{h}$ in the parameters. Equating coefficients of g in terms of parameters to 0 to get a system of linear equations in the indeterminate coefficients of polynomial f, and finally solving the linear system, we get all the coefficients of f, and thus we obtain the corresponding implicit equation. In the case of polynomial surfaces, we can similarly as in the case of rational curves obtain its implicit equation. This method is based on characteristic set theory. Some examples will show that our methods are efficient.

시험도로 노상토의 불포화 함수특성 및 이력현상 (Soil-Water Characteristics and Hysteretic Behaviors on Unsaturated Pavement Subgrades in Test Roads)

  • 박성완;신길호;김병수
    • 한국도로학회논문집
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    • 제8권2호
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    • pp.95-104
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    • 2006
  • 일반적으로 도로의 하부인 노상층은 불포화토 상태로 존재하기 때문에 함수비의 변동을 예측하기 위해서는 불포화 함수특성곡선(soil-water characteristic curve)의 추정은 필수적이다. 따라서, 국내 대표적인 노상토인 다짐된 화강풍화계열 노상토를 대상으로 함수특성을 정량화하기 위하여 pressure plate 장치를 활용하여 건조 및 습윤 이력과정의 실험을 각각 수행한 후 이를 토대로 불포화토 함수특성에 대한 해석을 수행하였다. 실험결과, 화강 풍화 노상토의 함수비를 좌우하는 흡수력이 건조와 습윤 과정에 있어 서로 다른 수치를 나타내었고 흡수력에 따른 불포화 투수계수와 습윤용적 그리고 확산 등의 흐름특성을 통하여 이력(hysteresis)을 확인하였다. 이를 토대로 도로하부의 연중흡수력을 추정하였다.

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실배관 파괴특성 평가에 관한 연구 (A Study on the Evaluation of the Pipe Fracture Characteristic)

  • 박재실;김영진;석창성
    • 대한기계학회논문집A
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    • 제29권1호
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    • pp.107-114
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    • 2005
  • In order to analyze the elastic-plastic fracture behavior of a structure, the fracture resistance curve of the material should be known first. The standard CT specimen was used to obtain the fracture resistance curves of a piping system. However, it is known that the fracture resistance curve by the standard CT specimen is very conservative to evaluate the integrity of a structure. Also the fracture resistance curve is effected by the specimen geometry and the dimensions because of the constraint effect. The objective of this paper is to be certain the conservativeness of the fracture resistance curve by the standard CT specimen and to provide an additional safety margin. For these, the fracture tests using a real pipe specimen and the standard CT specimen test were performed. A 4-point bending jig was manufactured for the pipe test and the direct current potential drop method was used to measure the crack extension and the length for the pipe test. Also finite element analyses were performed with a CT specimen and a pipe in order to prove the additional safety margin. From the result of tests and analyses of the pipe and the standard CT specimen, it was observed that the fracture analysis with the standard CT specimen is conservative and the additional safety margin was proved.

Determination of cut-off value by receiver operating characteristic curve of norquetiapine and 9-hydroxyrisperidone concentrations in urine measured by LC-MS/MS

  • Kim, Seon Yeong;Shin, Dong Won;Kim, Jin Young
    • 분석과학
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    • 제34권2호
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    • pp.78-86
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    • 2021
  • The objective of this study was to investigate urinary cut-off concentrations of quetiapine and risperidone for distinction between normal and abnormal/non-takers who were being placed on probation. Liquid chromatography-tandem mass spectrometric (LC-MS/MS) method was employed for determination of antipsychotic drugs in urine from mentally disordered probationers. The optimal cut-off values of antipsychotic drugs were calculated using receiver operating characteristic (ROC) curve analysis. The sensitivity and specificity of the method for the detection of antipsychotic drugs in urine were subsequently evaluated. The area under the ROC curve (AUC) was 0.927 for norquetiapine and 0.791 for 9-hydroxyrisperidone, respectively. These antipsychotic drugs are classified readily in the ROC curve analysis. The cut-off values for distinguishing regular and irregular/non-takers were 39.1 ng/mL for norquetiapine and 67.9 ng/mL for 9-hydroxyrisperidone, respectively. The results of this study suggest the cut-off values of quetiapine and risperidone were highly useful to distinguish regular takers from irregular/non-takers.

공극 네트워크 모델을 이용한 주문진표준사의 함수특성곡선 및 상대투수율 예측에 관한 연구 (Prediction of Soil-Water Characteristic Curve and Relative Permeability of Jumunjin Sand Using Pore Network Model)

  • 서형석;윤태섭;김광염
    • 한국지반공학회논문집
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    • 제32권1호
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    • pp.55-62
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    • 2016
  • 본 연구에서는 공극 네트워크 모델을 이용하여 사질토의 함수특성곡선을 수치해석적으로 획득하였다. 주문진표준사의 시편을 고해상도 3차원 X-ray CT 촬영하여 공극 영상을 획득하였고, 이를 공극방과 공극목으로 이루어진 관망으로 재구성하였으며 이 때 관의 반경은 공극목의 최소반경으로 정의하였다. 모세관압에 영향을 미치는 공극목의 반경은 세선화알고리즘과 유클리디언 거리변환을 통해 계산하였다. 수치해석적으로 얻은 함수특성곡선을 실험결과와 비교하였으며, 수치해석 결과는 실험결과에 비해 공기함입치가 과대평가 되었으나 전체 모세관압은 유사한 분포를 나타냈다. 또한 실험결과로부터 도출된 상대투수율은 높은 포화도에서 수치해석 결과에 비해 큰 값을 보였다.

함수비 특성곡선과 투수계수 특성곡선이 불포화토내에서의 물의 흐름에 미치는 영향분석 (Analysis of Influence by soil water-characteristic curve and permeability-suction relationship for the water flow in unsaturated soil)

  • 김석남
    • 한국방재학회 논문집
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    • 제3권2호
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    • pp.119-125
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    • 2003
  • 불포화토에서 물의 흐름은 함수비 특성곡선과 투수계수 특성곡선(permeability-suction relation ship)이라 불리우는 두 방정식에 의해서 영향 받는다. 함수비 특성곡선은 체적함수비와 석션(suction)간의 관계를 나타내는 방정식이다. 많은 연구자들은 특성곡선식들을 제시해 왔다. 이 논문은 불포화토에서 물의 흐름을 분석할 때 특성곡선식들을 정확하게 결정하는 것이 중요하다는 것을 보여준다. 비교목적을 위해서 두 방법 즉, Gardner (1958)에 의해서 제시된 특성곡선식들과 Fredlund (1994) 의해서 제시된 특성곡선식들이 사용된다. 이 두 방법을 사용하여 유한요소법에 의한 물 흐름의 수치해석이 수행된다. 수치해석 결과들은 미 Ohio주 Delaware County에 있는 TDR (Time-domain reflectometry) 계측기로부터 얻어진 현장 데이터와 비교된다. 이 데이터는 전략적 고속도로 연구 프로그램(Strategic Highway Research Program)의 한 부분으로 포함된 계절 계측 프로그램(Seasonal Instrumentation Program)에 의해 얻어졌다.

확률밀도함수를 이용한 상수도 실 배관의 피로수명 특성 평가 (Evaluation of Fatigue Life Characteristic of a Real Waterwork Pipe Using the Probability Density Function)

  • 최정훈;구재민;석창성;송원근
    • 대한기계학회논문집A
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    • 제32권9호
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    • pp.707-712
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    • 2008
  • The fatigue characteristics of a material or a structure are generally derived from fatigue tests of standard specimens. However, test results of standard specimens are different from those of real structures or components. Therefore, to calculate more accurate fatigue life, the geometrical effect and surface condition must be considered by comparing test results of standard specimens with those of real structures or components. Thus the object of this paper is to evaluate the fatigue characteristics of a real waterwork pipe. Also, to evaluate fatigue characteristic based on life distribution, the statistical fatigue characteristics were analyzed by the normal distribution and related data of P-S-N curve.

다층용접배관 용접부에서 균열닫힘현상을 고려한 피로균열성장특성 평가 (Evaluation of Fatigue Crack Growth Characteristics Considering Crack Closure Phenomenon in Weldment of Multi-Pass Welded Pipe)

  • 김철한;조선영;배동호
    • 대한기계학회논문집A
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    • 제25권5호
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    • pp.797-804
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    • 2001
  • To obtain representative fatigue crack growth characteristic curve in residual stress field, fatigue crack growth test was carried out at various stress ratio and fatigue crack growth characteristic curve was represented using crack closure concept. Obtained results are as follows;K(sub)op/K(sub)max was independent of K(sub)max when R was lower than 0.5 and crack closure phenomenon was not observed when R is higher than 0.5. therefore neglecting crack closure behaviour, actual fatigue crack growth rate can be underestimated. Thus, considering crack closure phenomenon, fatigue crack growth characteristics curve of A 106 Gr B Steel weldment can be effectively estimated.

멤리스터 기반 미분 및 적분제어 회로에서의 커패시턴스 변화에 따른 히스테리시스 곡선 특성 분석 (In Memristor Based Differential or Integral Control Circuit, Hysteresis Curve Characteristic Analysis According to Capacitance)

  • 최진웅;모영세;송한정
    • 한국전기전자재료학회논문지
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    • 제28권10호
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    • pp.658-664
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    • 2015
  • This paper presents an electrical feature analysis of hysteresis curves in memristor differential and intergral control circuit. After making macro model of the memristor device, electric characteristics of the model such as time analysis, frequency dependent DC I-V curves were performed by PSPICE simulation. Also, we made a circuit of memristor-capacitor based on nano-wired memristor device and analyzed the simulated PSPICE results. Finally, we proposed a memristor based differential or integral control circuit, analyzed hysteresis curve characteristic in the control circuit.

발포스펀지 의자시트의 진동전달 특성 (Vibration transfer characteristic of foaming sponge chair seat)

  • 김성환;강화중;김태균;문덕홍
    • 동력기계공학회지
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    • 제16권1호
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    • pp.24-29
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    • 2012
  • Recently, in the movie theater, the special chair is installed to maximize the viewing effect of movies. It is structured to convey a vibrational stimulus to a specially-designated parts of human body by attaching a vibration transducer to a existing theater chair. This paper describes the analysis of the vibration transfer characteristic of a foaming sponge seat for the design of the special chair. We could not apply the structural analysis S/W because it is difficult to obtain the mechanical properties and damping coefficients of the various type sponges. And then we computed the transfer functions by the global curve fitting program based on experimental modal analysis. The experimental response results comparatively coincide with those by the global curve fitting program. We also could obtain the natural frequencies, the modal damping coefficient ratio, the modal vectors and the whole transfer functions. Therefore we could analyze the dynamic characteristic for design of foaming sponge seat.