• 제목/요약/키워드: R-curve

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평면 다항식 PH 곡선에 대한 근을 이용한 판정법과 그 응용 (Root Test for Plane Polynomial Pythagorean Hodograph Curves and It's Application)

  • 김광일
    • 한국컴퓨터그래픽스학회논문지
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    • 제6권1호
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    • pp.37-50
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    • 2000
  • 본 논문에서는 R. T. Farouki에 의하여 소개된 평면 곡선들에 대한 복소수화된 표현법을 사용하여 주어진 임의의 평면 다항식 곡선을 복소수 계수를 갖는 한 다항식으로 나타내고 이 식을 대수학의 기본정리에 따라 복소수체 상에서 완전히 인수분해한 다음 그 근들을 관찰하여 주어진 곡선이 평면 다항식 피타고리안 호도그라프(PH) 곡선이 되기 위하 필요충분 조건을 새로운 방법으로 밝히고, 이를 3차원 민코브스키 공간 $R^{2,1}$ 상의 다항식 곡선에 적용, 이 곡선이 PH 곡선이 되기 위한 필요충분을 보다 간결한 형태로 나타내고 이를 통하여 3차원 민코브스키 공간 $R^{2,1}$ 상의 가능한 다항식 PH 곡선들의 유형이 모두 결정된다는 것을 보인다.

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곡선부 선형 최적설계를 위한 적정 곡선반경-완화곡선장 결정기법 연구 (A Study on Determination Method of Radius and Transition Curve Length for Optimum Design in Curve)

  • 엄주환;김은겸;양신추
    • 한국철도학회논문집
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    • 제12권2호
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    • pp.199-204
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    • 2009
  • 본 연구에서는 곡선부 선로선형의 최적설계를 위해 신선건설 및 기존선 개량시 지장물의 위치에 따른 곡선반경(R)-완화곡선장$(L_t)$의 적정 범위를 간단히 결정할 수 있는 기법을 제시하였다. 또한 이를 이용하여 간단히 계산할 수 있는 프로그램을 개발하였으며 실제 예를 통한 해석을 수행하여 경우별 곡선반경-완화곡선장의 경계조건에 대한 비교 분석을 수행하였다. 본 해석기법은 곡선상 지장물의 위치에 따른 최적 $R-L_t$를 산정할 수 있으며, 경계조건의 허용범위 내에서 $R-L_t$의 범위를 조정한다면, 향후 신선 및 개량설계시 지장물 이설에 따른 높은 비용의 절감이 가능하다.

연선균열성장 저항곡선에 대한 2매개변수의 특성 (Two-Parameter Characterization for the Resistance Curves of Ductile Crack Growth)

  • X.K.Zhu
    • Journal of Advanced Marine Engineering and Technology
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    • 제23권4호
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    • pp.488-503
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    • 1999
  • The present paper considers the constraint effect on J-R curves under the two-parameter $J-A_2$ controlled crack growth within a certain amount of crack extension. Since the parameter $A_2$ in $J-A_2$ three-term solution is independent of applied loading under fully plasticity or large-scale defor-mation $A_2$ is a proper constraint parameter uring crack extension. Both J and $A_2$ are used to char-acterize the resistance curves of ductile crack growth using J as the loading level and $A_2$ are used to char-acterize the resistance curves of ductile crack growth using J as the loading level and A2 as a con-straint parameter. Approach of the constraint-corrected J-R curve is proposed and a procedure of transferring the J-R curves determined from standard ASTM procedure to non-standard speci-mens or real cracked structures is outlined. The test data(e.g. initiation toughness JIC and tearing modulus $T_R$) of Joyce and Link(Engineer-ing Fracture Mechanics 1997, 57(4) : 431-446) for single-edge notched bend[SENB] specimen with from shallow to deep cracks is employed to demonstrate the efficiency of the present approach. The variation of $J_{IC}$ and $T_R$ with the constraint parameter $A_2$ is obtained and a con-straint-corrected J-R curves is constructed for the test material of HY80 steel. Comparisons show that the predicted J-R curves can very well match with the experimental data for both deep and shallow cracked specimens over a reasonably large amount of crack extension. Finally the present constraint-corrected J-R curve is used to predict the crack growth resistance curves for different fracture specimens. over a reasonably large amount of crack extension. Finally the present constraint-corrected J-R curve is used to predict the crack growth resistance curves for different fracture specimens. The constraint effects of specimen types and specimen sizes on the J-R curves can be easily obtained from the constrain-corrected J-R curves.

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역사이클하중하에서의 균열길이 측정법에 따른 파괴저항곡선의 평가 (J-R Curve Evaluation According to the Crack Length Measurement Techniques Under Reverse Cyclic Loading)

  • 원종일;우흥식;석창성
    • 한국안전학회지
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    • 제13권4호
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    • pp.96-101
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    • 1998
  • J-R curve tests were performed on 1T compact specimens of SA516 Gr. 70 carbon steels under reverse cyclic loading. A Direct-Current Potential Drop (DCPD) method, one of the nondestructive techniques to detect flaw of structure, is being increasingly used for monitoring crack initiation and stable crack growth in typical fracture mechanics specimens for J-R testing. In many aspects this method is simpler than the unloading compliance method. The objective of this paper is to evaluate the J-R Curve according to the crack length measurement techniques under reverse cyclic loading. In order to prove the reliability and repeatability of the DCPD method, the crack length measured by using DCPD method was compared to one determined from unloading compliance. Consequently, this DCPD method correlated well with J-R curves and crack extension measurements determined from unloading compliance method.

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광주지방 유우의 비유곡선 (Studies on the Lactation Curve of Holstein Cows in Gwangju Area)

  • 나진수;문승주
    • 한국가축번식학회지
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    • 제6권1호
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    • pp.31-35
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    • 1982
  • A study of 188 lactations of Holstein cows in Gwangju area was undertaken to establish the shape of lactation curve during the period from October in 1980 to January in 1982. The Gammafunction described by Wood(1967) was fitted to the lactations observed. The results obtained in the present study were summarized as follows; 1. The lactation curve of the 188 lactations was expressed by the equation based on Wood's model (1967) as follows; Yn=24.5m0.0762e-0.0944n(R2=0.99) 2. The lactation curves by parity were represented by the equations as follows; Yn=18.81n0.1486e-0.0741n(R2=0.98)……………parity 1 Yn=26.51n0.1161e-0.1200n(R2=0.96)……………parity 2 Yn=26.95n0.2804e-0.1703n(R2=0.99)……………parity 3 Yn=27.92n0.1429e-0.1427n(R2=0.98)……………parity 4 Yn=22.61n0.1985e-0.1211n(R2=0.94)……………parity 5 3. The lactation curves by calving seasons were represented by the equationes as follows; Yn=27.05n0.0739e-0.1005n(R2=0.98)……………spring Yn=23.08n0.2040e-0.1202n(R2=0.98)……………summer Yn=26.81n0.0460e-0.1134n(R2=0.98)……………autumn Yn=23.40n0.1299e-0.1101n(R2=0.95)……………winter

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RELATING GALOIS POINTS TO WEAK GALOIS WEIERSTRASS POINTS THROUGH DOUBLE COVERINGS OF CURVES

  • Komeda, Jiryo;Takahashi, Takeshi
    • 대한수학회지
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    • 제54권1호
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    • pp.69-86
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    • 2017
  • The point $P{\in}{\mathbb{P}}^2$ is referred to as a Galois point for a nonsingular plane algebraic curve C if the projection ${\pi}_P:C{\rightarrow}{\mathbb{P}}^1$ from P is a Galois covering. In contrast, the point $P^{\prime}{\in}C^{\prime}$ is referred to as a weak Galois Weierstrass point of a nonsingular algebraic curve C' if P' is a Weierstrass point of C' and a total ramification point of some Galois covering $f:C^{\prime}{\rightarrow}{\mathbb{P}}^1$. In this paper, we discuss the following phenomena. For a nonsingular plane curve C with a Galois point P and a double covering ${\varphi}:C{\rightarrow}C^{\prime}$, if there exists a common ramification point of ${\pi}_P$ and ${\varphi}$, then there exists a weak Galois Weierstrass point $P^{\prime}{\in}C^{\prime}$ with its Weierstrass semigroup such that H(P') = or , which is a semigroup generated by two positive integers r and 2r + 1 or 2r - 1, such that P' is a branch point of ${\varphi}$. Conversely, for a weak Galois Weierstrass point $P^{\prime}{\in}C^{\prime}$ with H(P') = or , there exists a nonsingular plane curve C with a Galois point P and a double covering ${\varphi}:C{\rightarrow}C^{\prime}$ such that P' is a branch point of ${\varphi}$.

API 5LB강관의 고주파전기저항용접부에 관한 파괴인성 평가 (Evaluation of Fracture Toughness on High Frequency Electric Resistance Welded API 5LB Steel Pipe)

  • 오세욱;윤한기;안계원
    • 한국해양공학회지
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    • 제1권1호
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    • pp.127-137
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    • 1987
  • The evaluation of the elastic-plastic fracture toughness $J_{1C}$ was performed on the center of weld metal(CWM), the heat affected zone (HAZ) and the base metal (BM) of API 5LB steel pipes welded by the high frequency electric resistance welding. The $J_{1C}$ was evaluated by the JSME R-Curve and JSME SZW methods using the smooth and side-grooved specimens. The results are as follows; (1) The $J_{1C}$ values by the SZW method are overestimated as compared with those by the R-curve method, because the micro-crack is formed as SZW increase with the deformation at SZ after initiation of the ductile crack. (2) The everage of $J_{1C}$ values by the the R-curve and the SZW methods in side-grooved specimens tended to decrease in comparison with smooth specimens 9.42% at CWM, 4.2% at HAZ, 23.2% at BM, respectively. (3) The boundary of the fatigue pre-crack, stretched zone, and dimple regions appeared more clearly in side-grooved specimens, for the slight change of SZW in the direction of the plate thickness, as compared with smooth specimens.

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FRP(SMC재)의 균열成長 擧動과 破壞인성 평가에 관한 연구 (A study on fracture toughness evaluation and crack growth behavior in FRP (SMC material))

  • 김정규;박진성
    • 대한기계학회논문집
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    • 제13권3호
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    • pp.472-478
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    • 1989
  • 본 연구에서는 FRP의 파괴인성평가를 위한 기초적인 자료를 얻기 위하여 FRP 중에서도 널리 사용되고 있는 SMC재를 준비하고 3점 굽힘시험을 실시하여 노치선단에서의 손상거동 및 균열진전저항유선으로부터 안정파괴개시점을 검토하였다.

Excel의 추세선을 이용한 표준곡선 검증 (Standard Curve Validation using Trendlines in Excel)

  • 이경화;박형기;신영만
    • 핵의학기술
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    • 제20권2호
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    • pp.69-74
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    • 2016
  • Insulin 83건을 검사 대상으로, 장비 WIZARD(PerkinElmer, USA)와 DREAM- G-10(Shinjin, KOREA)의 Graph Algorithm 중에 표준곡선과 신뢰성이 가장 높은 Excel의 추세선은 다항식 추세선이다. 다음으로 다항식 추세선식을 이용하여 표준농도 1개씩을 제외하여 표준농도의 회귀식에 미치는 영향을 비교한 결과 최고농도($315{\mu}IU/m{\ell}$)의 평균값이 표준물질 6개로 실시한 표준 회귀식을 이용한 평균값과 비교하여 49%나 평균값이 저하되었다. 단 낮은 농도에서는 영향이 미비하였다. 마지막으로 WIZARD의 Point to Point형식과 DREAM G-10의 Point to Point형식이 적합성이 높고, DREAM G-10(Point to Point)와 Excel 다항식 추세선이 적합성이 높으며, Excel 다항식 추세선과 DREAM G-10(2'nd order Polynomial)의 적합성이 높다.

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