• 제목/요약/키워드: rectangular frameworks

검색결과 6건 처리시간 0.023초

직사각형 틀 구조물의 견고성 파악하기 (A Study on the Bracing Rectangular Frameworks)

  • 이재운;권영수;최근배
    • 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.

THE RIGIDITY OF RECTANGULAR FRAMEWORKS AND THE LAPLACIAN MATRICES

  • KEUNBAE CHOI;HOSOO LEE
    • 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.

조선전기 당(堂)·실(室) 결합 건축의 가구특성 분석 -방형 평면의 맞배직교형 지붕 가구를 중심으로- (A Study on the Structure of Combined Architecture of Dang and Sil in the Early Joseon Dynasty -Focusing on the Rectangular Plan and the Gable Roof Meeting at Right Angle-)

  • 김버들;이종서
    • 건축역사연구
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    • 제26권2호
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    • pp.31-42
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    • 2017
  • This study investigates how the spatial recognition structure is emerging through the case of rectangular plan combined with a combination of Dang-Sil(堂室) and Gong(工) shape roof, and identifies a type of architecture in the early Joseon Dynasty that has never been revealed. The conclusion of this study is as follows. First, the Dang and the Sil are connected to each other, but the architectural elements such as pillars, frame, and windows are distinguished and appear as separate buildings. Second, the distinction between Dang and Sil is evident by the difference in the number of ridges and the shape of the roof. In addition, the roof and roof framework of the independent rooms and the rooms were common in the right angled architecture where the direction and the expandability of each structure were maintained. Third, the construction of the Dang-Sil combined structure, in which two or more structure frameworks were combined with the rectangular combined flat roof structure, gradually changed into a single structure with a single ridge. Fourth, this change means that people of the early Joseon Dynasty recognized the Dang and Sil as separate architecture, but the strict sense of spatial separation has disappeared over time.

Comparison of the bond strength of ceramics to Co-Cr alloys made by casting and selective laser melting

  • Lawaf, Shirin;Nasermostofi, Shahbaz;Afradeh, Mahtasadat;Azizi, Arash
    • The Journal of Advanced Prosthodontics
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    • 제9권1호
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    • pp.52-56
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    • 2017
  • PURPOSE. Considering the importance of metal-ceramic bond, the present study aimed to compare the bond strength of ceramics to cobalt-chrome (Co-Cr) alloys made by casting and selective laser melting (SLM). MATERIALS AND METHODS. In this in-vitro experimental study, two sample groups were prepared, with one group comprising of 10 Co-Cr metal frameworks fabricated by SLM method and the other of 10 Co-Cr metal frameworks fabricated by lost wax cast method with the dimensions of $0.5{\times}3{\times}25\;mm$ (following ISO standard 9693). Porcelain with the thickness of 1.1 mm was applied on a $3{\times}8-mm$ central rectangular area of each sample. Afterwards, bond strengths of the samples were assessed with a Universal Testing Machine. Statistical analysis was performed with Kolmogorov-Smirnov test and T-test. RESULTS. Bond strength in the conventionally cast group equaled $74.94{\times}16.06\;MPa$, while in SLM group, it equaled $69.02{\times}5.77\;MPa$. The difference was not statistically significant ($P{\leq}.05$). CONCLUSION. The results indicated that the bond strengths between ceramic and Co-Cr alloys made by casting and SLM methods were not statistically different.

작용기 적용 다공성 금속 유기골격체를 이용한 수중 세슘 및 스트론튬 이온의 흡착 제거 (Adsorption of Cesium and Strontium Ions in Aqueous Phase Using Porous Metal Organic Frameworks Connected with Functional Group)

  • 이준엽;최정학
    • 한국환경과학회지
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    • 제30권1호
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    • pp.97-108
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    • 2021
  • In the current study, MIL-101(Cr)-SO3H[HCl] as metal-organic frameworks (MOFs) was fabricated via a hydrothermal method. The physicochemical properties of the synthesized material were characterized using XRD, FT-IR, FE-SEM, TEM, and BET surface area analysis. The XRD diffraction pattern of the prepared MIL-101(Cr)-SO3H[HCl] was similar to previously reported patterns of MIL-101(Cr) type materials, indicating successful synthesis of MIL-101(Cr)-SO3H[HCl]. The FT-IR spectrum revealed the molecular structure and functional groups of the synthesized MIL-101(Cr)-SO3H[HCl]. FE-SEM and TEM images indicated the formation of rectangular parallelopiped structures in the prepared MIL-101(Cr)-SO3H[HCl]. Furthermore, the EDS spectrum showed that the synthesized material consisted of the elements of Cr, O, S, and C. The fabricated MIL-101(Cr)-SO3H[HCl] was then employed as an adsorbent for the removal of Sr2+ and Cs+ from aqueous solutions. The adsorption kinetics and adsorption isotherm models were studied in detail. The maximum adsorption capacities of MIL-101(Cr)-SO3H[HCl] for Sr2+ and Cs+ according to pH (3, 5.3~5.8, 10) were 35.05, 43.35, and 79.72 mg/g and 78.58, 74.58, and 169.74 mg/g, respectively. These results demonstrate the potential of the synthesized MOFs, which can be effectively applied as an adsorbent for the removal of Sr2+ and Cs+ ions from aqueous solutions and other diverse applications.

The effects of repetitive firing processes on the optical, thermal, and phase formation changes of zirconia

  • Ozdogan, Alper;Ozdemir, Hatice
    • The Journal of Advanced Prosthodontics
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    • 제12권1호
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    • pp.9-14
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    • 2020
  • PURPOSE. The aim of this study was to investigate the effect of different numbers of heat treatments applied to superstructure porcelain on optical, thermal, and phase formation properties of zirconia. MATERIALS AND METHODS. Forty zirconia specimens were prepared in the form of rectangular prism. Specimens were divided into four groups (n = 10) according to the number of firing at heating values of porcelain. Color differences and translucency parameter were measured, and X-ray diffraction (XRD) analysis and differential scanning calorimetry (DSC) were performed. Data were analyzed with analysis of variance (ANOVA). RESULTS. There were no statistically significant differences in ∆E, TP, L, a, and b value changes of the zirconia specimens as a result of repetitive firing processes (P>.05). CONCLUSION. Although additional firing processes up to 4 increase peak density in thermal analysis, additional firing processes up to 4 times can be applied safely as they do not result in a change in color and phase character of zircon frameworks.