• 한국안전학회지
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• 제31권5호
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• pp.42-48
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• 2016

The usage of the correct combustion properties of the treated substance for the safety of the process is critical. For the safe handling of n-nonane being used in various ways in the chemical industry, the flash point and the autoignition temperature(AIT) of n-nonane was experimented. And, the explosion limit of n-nonane was calculated by using the flash point obtained in the experiment. The flash points of n-nonane by using the Setaflash and Pensky-Martens closed-cup testers measured $31^{\circ}C$ and $34^{\circ}C$, respectively. The flash points of n-nonane by using the Tag and Cleveland open cup testers are measured $37^{\circ}C$ and $42^{\circ}C$. The AIT of n-nonane by ASTM 659E tester was measured as $210^{\circ}C$. The lower explosion limit by the measured flash point $31^{\circ}C$ was calculated as 0.87 vol%. And the upper explosion limit by the measured upper flash point $53^{\circ}C$ was calculated as 2.78 vol%. It was possible to predict lower explosion limit by using the experimental flash point or flash point in the literature.

• 한국안전학회지
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• 제31권4호
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• pp.42-47
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• 2016

The combustible properties(flash point, explosion limit and autoignition temperature) are the important safety items which are considered in the typical MSDS(material safety data sheet). In this study, for the safe handling of n-butyl methacrylate(n-BMA) being used in various ways in the chemical industry, the flash point and the autoignition temperature(AIT) of n-butyl methacrylate was experimented. And, the lower explosion limit of n-butyl methacrylate was calculated by using the lower flash point obtained in the experiment. The flash points of n-butyl methacrylate by using the Setaflash and Pensky-Martens closed-cup testers measured $44^{\circ}C$ and $51^{\circ}C$, respectively. The flash points of n-butyl methacrylate by using the Tag and Cleveland open cup testers are measured $53^{\circ}C$. The AIT of n-butyl methacrylate by ASTM 659E tester was measured as $295^{\circ}C$. The lower explosion limit by the measured flash point $44^{\circ}C$ was calculated as 0.85 vol.%. It was possible to predict lower explosion limit by using the experimental flash point or flash point in the literature.

• 대한수학회보
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• 제38권4호
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• pp.635-641
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• 2001

A limit point p of a Mobius group acting on$ B^m$ is called a concentration point if for every sufficiently small connected open neighborhood of p, the set of translates contains a local basis for the topology of p. For the case of two generator Schottky groups acting on $B^2$, we give characterizations for several different kinds of limit points.

• 한국항공우주학회지
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• 제38권2호
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• pp.135-140
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• 2010

항공기 조종면의 시간당 변화율 한계에 의한 PIO 현상을 해석하는 기법으로 Open-Loop-Onset-Point (OLOP) 방법이 널리 이용된다. OLOP은 조종면의 변화율 한계에 의한 PIO 현상을 주원인으로 포함하고 더 나아가 조종면 구동기의 변위한계도 고려하는 데, 여기서는 이 변위 한계를 고려하는 새로운 방법을 제시하고자 한다. 새로운 기법은 독립된 구동기의 주파수 응답을 고려할 때, 기존의 OLOP 방법이 제시한 바와 달리, 변화율 한계가 시작되는 주파수가 변위 한계에 의해 더 높은 주파수로 지연되지 않는다는 사실을 인지함으로써 그 동기가 되었다. 실제로 피드백 제어 환경에서는 변화율 한계의 시작점이 오히려 더 낮은 주파수에서 일어나는데, 이는 변위 한계의 영향에 의한 제어력 감소분을 극복하기위해 제어기가 더 큰 제어 입력을 발생하기 때문이다. 본 연구는 이렇게 찾아진 변화율 시작 주파수와 변위 한계를 고려하여 OLOP 해석의 최종 단계에서 Nichols Chart 위에 변화율 시작점을 찾는 새로운 방법을 제시한다. 마지막으로 기존의 방법으로는 PIO 예측에 있어서 위험한 판단에 도달할 수 있으나, 제시된 새로운 방법으로는 올바른 예측을 할 수 있음을 보여준다.

• Structural Engineering and Mechanics
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• 제85권5호
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• pp.665-677
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• 2023

In the present study, the limit point buckling and postbuckling behaviors of sinusoidal, shallow arches with pinned supports subjected to localized sinusoidal loading, based on the Euler-Bernoulli beam theory, are numerically analyzed. There are some studies on the buckling of sinusoidal shallow arches under the effect of sinusoidal loading. However, in these studies, the sinusoidal loading acts along the horizontal projection of the entire shallow arch. No study has been found in the relevant literature pertaining to the stability of the shallow arches subjected to various lengths of sinusoidal loading. Therefore, the purpose of this paper is to contribute to the literature by examining the effect of the length of the localized sinusoidal loading and the initial rise of the shallow arch on the limit point buckling and postbuckling behaviors. Equilibrium paths corresponding to certain values of the length of the localized sinusoidal loading and various values of the initial rise parameter are presented. It has been observed that the length of the sinusoidal loading and the initial rise parameter affects the transition from no buckling to limit point instability remarkably. The deformed configurations of the sinusoidal shallow arch under localized loading regarding buckling and postbuckling states are illustrated, as well. The effects of the length of the localized sinusoidal loading on the internal forces of the shallow arch are investigated during various stages of the loading.

• 한국농공학회지
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• 제15권4호
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• pp.3153-3159
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• 1973

Although standard method of test for liquid limit procedure is issued under the fixed designation KSF-2303 in 1968, for both of general method and on point method, the latter of which is not still favorably used among laboratory engineers with its defficiency of adquate informations. This study intended as to furnish proper information to the laboratory engineers for the use of one point liquid limit test with full advantages of time-saving and labor-saving. further more, the following conversion formula to the one point method VS. general method is presented by the results of analytical study on 1017 Soil sampls existing liquid limit test data The formula is; $$W_L = W(\frac{N}{25})^{0.118}$$ The conversion factor (table-4) is also attached for the convenience of the users.

• 대한수학회지
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• 제56권4호
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• pp.935-946
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• 2019

Hawkes process is a self-exciting simple point process with clustering effect whose jump rate depends on its entire past history. We consider Hawkes processes with uniform immigrants which is a special case of the Hawkes processes with renewal immigrants. We study the limit theorems for Hawkes processes with uniform immigrants. In particular, we obtain a law of large number, a central limit theorem, and a large deviation principle.

• 대한수학회논문집
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• 제15권3호
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• pp.549-553
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• 2000

For a continuous map of the circle to itself, we give necessary and sufficient conditions for the $\omega$-limit set of each nonwandering point to be minimal.

• Structural Engineering and Mechanics
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• 제42권2호
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• pp.175-189
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• 2012

This paper presents an algorithm for structural reliability with the response surface method. For this aim, an approach with three stages is proposed named as improved response surface method. In the algorithm, firstly, a quadratic approximate function is formed and design point is determined with First Order Reliability Method. Secondly, a point close to the exact limit state function is searched using the design point. Lastly, vector projected method is used to generate the sample points and Second Order Reliability Method is performed to obtain reliability index and probability of failure. Five numerical examples are selected to illustrate the proposed algorithm. The limit state functions of three examples (cantilever beam, highly nonlinear limit state function and dynamic response of an oscillator) are defined explicitly and the others (frame and truss structures) are defined implicitly. ANSYS finite element program is utilized to obtain the response of the structures which are needed in the reliability analysis of implicit limit state functions. The results (reliability index, probability of failure and limit state function evaluations) obtained from the improved response surface are compared with those of Monte Carlo Simulation, First Order Reliability Method, Second Order Reliability Method and Classical Response Surface Method. According to the results, proposed algorithm gives better results for both reliability index and limit state function evaluations.

• 대한수학회지
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• 제60권5호
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• pp.1043-1055
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• 2023

In this paper we study a pointwise version of Walters topological stability in the class of homeomorphisms on a compact metric space. We also show that if a sequence of homeomorphisms on a compact metric space is uniformly expansive with the uniform shadowing property, then the limit is expansive with the shadowing property and so topologically stable. Furthermore, we give examples to illustrate our results.