• Nuclear Engineering and Technology
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• 제21권1호
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• pp.32-39
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• 1989

원형 단면을 가진 축대칭형 토카막 핵융합로에 적합할 수 있는 최적의 이상적 자기유체역학 베타값과 운전조건의 결정 방법을 제시하였다. 토로이달 전류밀도 분포로 조정되는 운전조건을 변화시키면서 이상적 자기유체역학 안정성을 유지시킬 수 있는 베타값의 한계를 계산하였다. 토로이달 전류밀도 분포에는 실험적 관찰들로부터 얻은 실험식들이 사용되었고, 베타 값의 한계를 결정하기 위해 필요로 여러 식들이 이 실험식들로부터 유도되었다. 토로이달 전류밀도의 각각 다른 분포에 대해서 다양한 베타 한계값 분포들이 얻어졌다. 이상적 자기 유체 역학 불안정성들에 의해 제안받는 최대의 베타값을 토카막의 기하학적 변수와 안전인자에 의한 scaling law로 표현하였다.

• Journal of the Korean Data and Information Science Society
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• 제7권2호
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• pp.289-294
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• 1996

This paper considers the limit of the ratio of two incomplete beta functions $I_{x}(p+s,q+r)\;to\;I_{x}(p,q)\;as\;p+q{\rightarrow}{\infty}$. The results show that the limits depend on r,s,x and the limit of p/(p+q).

• 소음진동
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• 제8권5호
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• pp.821-831
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• 1998

The actual ground vibrations due to NATM and foundation blasting at Seoul(weathered rock), Pusan(weathered rock) and Youngkwang(quartz andesite) have been measured, and the data were analyzed using reliability index($\beta$) to determinate the vibration equations and the maximum charge weight for efficient blast. These were suggested with the division of ultimate limit state($\beta$=0), serviceability limit state($\beta$=1.28) and safety state($\beta$=3), respectively. The reliability index 0 mean 50% data line obtained by the least squares best-fit line. The reliability index 1.28 and 3 represent bounds below 90% and 99.9% of the data, respectively. In this study, reliability index $\beta$=1.28 with security and economy was suggested. The maximum charge weight equations for efficient blast were obtained in W=(Vc/384.90)1.5151.D3(Seoul), W=(Vc/579.82)1.4706.D3(Pusan). W=(Vc/1654.01)1.3456.D3(Youngkwang), and the blast vibration equatiions in V=385(SD)-1.98(Seoul), V=580(SD)-2.04(Pusan), V=1654(SD)-2.23(Youngkwang), respectively. From this study, inference and analysis methods of vibration equations using reliability theory were established.

• 한국세라믹학회지
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• 제55권6호
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• pp.590-596
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• 2018

To improve the injection behavior of brushite cement, dense ${\beta}-Ca_3(PO_4)_2$ (${\beta}-TCP$) granules were added to the starting material. The spherical ${\beta}-TCP$ granules prepared by spray-drying and subsequent sintering at $1000{\sim}1200^{\circ}C$ accounted for fractions of from 0.5 to 0.7 of the total ${\beta}-TCP$. The injection behavior was evaluated by measuring the injected mass divided by the loaded mass of paste in the syringe pump. The injected amount was increased with the increase in the fraction and sintering temperature of ${\beta}-TCP$ granules, except at $1200^{\circ}C$. The increase in the fraction of ${\beta}-TCP$ and its sintering temperature resulted in a decrease in the plastic limit, which is the volume of water required to liquefy the compact. The rest water could be utilized in the cement with the reduced plastic limit for improved injectability. The amounts of rest water assigned for powdery phase were estimated, and correlated with the injectability of paste.

• 한국강구조학회 논문집
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• 제14권2호
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• pp.311-318
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• 2002

본 논문은 냉간성형 각형강관 T형 접합부의 최대내력과 변형제한치에 대한 연구이다. 전회의 실험적 연구로부터, T형 접합부는 주관폭에 대한 지관폭의 비(${\beta}$) 0.8이하의 범위에서 변형의 증가와 함께 내력이 계속적으로 증가하는 양상을 나타내었다. 따라서, 일정한 변형량(주관플랜지에서의 변위)에 대응하는 하중을 T형 접합부의 최대내력으로 정의할 수 있을 것이다. 폭비(${\beta}$)와 주관 두께에 대한 폭의 비(B/T)가 주관 플랜지 파괴모드에 미치는 영향을 검토하였다. 기존의 Kato에 의해 수행된 실험을 포함한 실험결과로부터 $16.7{\leq}B/T{\leq}41.6$ 이고 $0.27{\leq}{\beta}{\leq}0.8$ 인 범위의 T형 접합부에 대하여, 최대내력을 정의를 위한 변형제한치는 주관폭의 3% 변형량(3%B)으로 제안하였다. CIDECT의 설계식 및 기존의 제안내력식과 실험결과를 비교하였고, 최종적으로 항복선이론에 근거한 내력식을 제안하였다.

• 경영과학
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• 제24권1호
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• pp.77-90
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• 2007

Taguchi assumed that a product characteristic has the uniform distribution in its preventive maintenance limit when deriving the expected loss generated by the quality deviation. But it is reasonable to assume that a product characteristic has the normal distribution than the uniform distribution. On this paper, we first find the optimum inspection interval and the optimum preventive maintenance limit under the truncated triangular distribution. Secondly we use the beta-general distribution and compare with the truncated triangular distribution. By using the numerical examples, we find the optimum inspection interval and the optimum preventive maintenance limit under their distributions. As a result, we find that the beta-general distribution gives the best solution and easy calculation.

• 한국철도학회논문집
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• 제5권1호
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• pp.48-54
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• 2002

This research estimated decreased vibration level as quantitative according to change of track system on Seoul Subway Line No. 1 from existing ballasted track system(Pandrol type clip) to concrete track system(Youbgdan type isolation rubber clip). Following change to concrete system, vibration level at tunnel floor decreased between 4-8dB(V). Vibration equations suggested in this paper consider the velocity of train and can estimate quantitative vibration response. These are divided by ultimate limit state($\beta$=0), serviceability limit state($\beta$=1.28) and safety state($\beta$=3), respectively. The reliability index, $\beta$=0, means 50％ data line obtained by least squares best-fit line. The reliability index $\beta$=1.28 and 3 represent boundaries below 90％ and 99.9％ respectively.

• 대한수학회보
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• 제42권2호
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• pp.359-367
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• 2005

Let A be a Banach algebra, we say that A has the strongly double limit property (SDLP) if for each bounded net $(a_\alpha)$ in A and each bounded net $(a^{\ast}\;_\beta)\;in\;A^{\ast},\;lim_\alpha\;lim_\beta=lim_\beta\;lim_\alpha$ whenever both iterated limits exist. In this paper among other results we show that if A has the SDLP and $A^{\ast\ast}$ is (n - 2)-weakly amenable, then A is n-weakly amenable. In particular, it is shown that if $A^{\ast\ast}$ is weakly amenable and A has the SDLP, then A is weakly amenable.

• 대한수학회보
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• 제36권1호
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• pp.139-146
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• 1999

It is known that a right nilpotent congruence $\beta$ on a finite algebra A is also left nilpotent [3]. The question on whether the left nilpotency class of $\beta$ in less than or equal to the right nilpotency class of $\beta$is still open. In this paper we find an upper limit for the left nilpotency class of $\beta$. In addition, under the assumption that 1 $\in$ typ{A}, we show that $(\beta]^k=[\beta)^k$ for all k$\geq$1. Thus the left and right nilpotency classes of $\beta$ are the same in this case.

• 한국강구조학회 논문집
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• 제16권3호통권70호
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• pp.315-324
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• 2004

본 논문은 지관에 압축력을 받는 냉간성형 각형강관 T형 용접접합부의항복선 해석에 관한 연구이다. 기존 연구 중 냉간성형 정방형 각형강관 T형 용접 접합부만을 포함하는 실험결과와 Kato, Packer, Zhao, CIDECT 및 본 연구진들의 제안식을 비교하였다. 제안된 항복선 모델의 적용한계치를 제안하기 위하여, 항복선 해석에 기초하여 이전 논문에서 제안된 항복선모델을 재검토하였다. 제안된 항복선 모델은 냉간성형 각형강관 곡률부와 용접크기를 고려한다. 마지막으로, 실험상의 실체 파괴모드와 해석상의 비교결과를 참조하여, 항복선 해석의 적용범위를 ${\beta}^{\prime}{\leq}0.8$로 제안하였다. 여기서, ${\beta}^{\prime}=0.8$, ${\beta}^{\prime}=b_1^{\prime}/b_0^{\prime}$, $b_1{^{\prime}}=b_1+t_0$, $b_0{^{\prime}}=b_0-t_0$.