• Journal of Applied and Pure Mathematics
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• 제5권3_4호
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• pp.255-263
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• 2023

In general, the rigidity problem of braced rectangular frameworks is determined by the connectivity of the bipartite graph induced by given rectangular framework. In this paper, we study how to solve the rigidity problem of the braced rectangular framework using the Laplacian matrix of the matrix induced by a braced rectangular framework.

• 제어로봇시스템학회논문지
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• 제19권5호
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• pp.398-409
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• 2013

This paper provides an overview of distance-based formation control. Firstly, in this paper, we introduce preliminary background materials that are used in defining the distance-based formation control. Then, based on the preliminary background, we briefly review main results developed thus far in this field. Lastly, we provide some issues that need to be studied further in future works.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제30권2호
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• pp.251-262
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• 2016

이 논문은 행과 열이 작은 정사각형으로 이루어진 직사각형 틀 구조물의 견고성에 대하여 다룬다. 수학화(mathematising)의 관점에서 각의 변화를 이용하여 구조물의 견고성 여부를 결정하는 새로운 증명법을 제시하고 이를 활용하여 구조물의 견고성을 판단하는 한 알고리즘을 제안한다.

• 한국도로학회논문집
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• 제17권4호
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• pp.77-87
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• 2015

PURPOSES: It is theoretically well known all over the world, that porous hot mixed asphalt (HMA) with hydrated Lime improves moisture and rutting resistance, and reduces pothole occurrence frequency, as well as the life cycle cost (LCC). METHODS : Addictive in the two different formations of the liquid anti-stripping Agent and powder Hydrated-Lime was applied in this investigation in order to obtain relatively clear results according to their types and conditions. Firstly, the moisture conditions were set, and applied to the porous HMA mixtures with hydrated lime (anti-stripping agent). Next, it was followed by a non-destructive test with the application of three freeze-thaw cycles, which were individually carried out thrice to compare the results of the dynamic moduli. Lastly, the hydrated lime effect related to moisture sensibility to porous HMA has been verified through the analysis of the modulus results regarding the change rate of dynamic modulus per n-cycle. RESULTS: It is clear from this investigation, that the dynamic modulus is inversely proportional to the change in temperature, as the graph representing the rigidity of the thermorheologically simple (TRS) material showed gradual decline of the dynamic modulus with the increase in temperature. CONCLUSIONS: The porous HMA mixture with the anti-stripping agent (hydrated Lime) has been found to be more moisture resistant to freezing and thawing than the normal porous HMA mixture. It is clear that the hydrated lime helps the HMA mixture to improve its fatigue resistance.

• Steel and Composite Structures
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• 제23권3호
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• pp.273-283
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• 2017

In this paper, it is aimed to present a detail investigation related to structural behavior of laterally unrestrained steel cantilever roof of tribune with slender cross section. The structure is located in Tutak town in $A{\breve{g}}r{{\i}}$ and collapsed on October 25, 2015 at eastern part of Turkey is considered as a case study. This mild sloped roof structure was built from a variable I beam, and supported on steel columns of 5.5 m height covering totally $240m^2$ closed area in plan. The roof of tribune collapsed completely without any indication during first snowfall after construction at midnight a winter day, fortunately before the opening hours. The meteorological records and observations of local persons are combined together to estimate the intensity of snow load in the region and it is compared with the code specified values. Also, the wide/thickness and height/thickness ratios for flange and web are evaluated according to the design codes. Three dimensional finite element model of the existing steel tribune roof is generated considering project drawings and site investigations using commercially available software ANSYS. The displacements, principal stresses and strains along to the cantilever length and column height are given as contour diagrams and graph format. In addition to site investigation, the numerical and analytical works conducted in this study indicate that the unequivocal reasons of the collapse are overloading action of snow load intensity, some mistakes made in the design of steel cantilever beams, insufficient strength and rigidity of the main structural elements, and construction workmanship errors.

• 대한치과보철학회지
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• 제52권2호
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• pp.82-89
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• 2014

연구 목적: 본 연구의 목적은 중합 과정 중 치과용 레진 시멘트의 점탄성 성질의 변화를 관찰하기 위한 것이다. 연구 재료 및 방법: 6 종류의 레진시멘트(Clearfil SA luting, Panavia F 2.0, Zirconite, Variolink N, RelyX Unicem clicker, RelyX U200)가 이번 실험에 사용되었다. AR1500 stress controlled rheometer를 이용해 $32^{\circ}C$에서 동적 시간 경과 시험(dynamic oscillation time sweep test)이 시행되었다. 각각의 레진시멘트의 전단 저장 계수(G'), 전단 손실 계수(G"), 손실 탄젠트(tan ${\delta}$), 변위량을 20분 동안 3번씩 반복 측정하였다. 측정 결과는 일원배치분석 및 Tukey's hoc test로 사후 검정을 시행하였다(${\alpha}$=0.05). 결과: 모든 레진 시멘트는 혼합 후 시간에 따라 G' 값이 증가하였고, 최종적으로 안정상태에 도달하였다. 실험 종료 시점에서 RelyX U200은 가장 높은 G'값을 나타냈고, RelyX Unicem (clicker type)과 Variolink N이 가장 낮은 G'값을 나타냈다. Tan ${\delta}$와 변위량은 일정 수준의 값을 유지하다가 G'이 증가하기 시작하는 시점에서 0에 도달하였다. 이는 변위량이 0에 도달하는 지점과 거의 일치하였으며, 그 시간은 6분 내외였다. 결론: 본 연구에서 RelyX U200은 다른 레진 시멘트와 비교하여 가장 오랜 시간 동안 소성을 유지하고, 경화 완료 후 가장 높은 강도(rigidity)를 보였다. 따라서 여러 개의 보철물을 동시에 합착해야 하는 경우에 RelyX U200이 유용할 것으로 사료된다.