• East Asian mathematical journal
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• 제37권4호
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• pp.355-379
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• 2021

In this article, we investigated plane figures introduced in elementary school mathematics in the perspective of traditional classification, and also analyzed plane figures focused on the invariance of plane figures out of traditional classification. In the view of traditional classification, how to treat trapezoids was a key argument. In the current mathematics curriculum of the elementary school mathematics, the concept of sliding, flipping, and turning are introduced as part of development activities of spatial sense, but it is rare to apply them directly to figures. For example, how are squares and rectangles different in terms of symmetry? One of the main purposes of geometry learning is the classification of figures. Thus, the activity of classifying plane figures from a symmetrical point of view has sufficiently educational significance from Klein's point of view.

• Earthquakes and Structures
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• 제22권5호
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• pp.475-485
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• 2022

This paper presents a comparative experimental study on structural behavior of the interlocking masonry walls under in-plane cyclic loading. The main purpose of this study is to increase lateral load-bearing capacities of masonry walls by using interlocking units. The interlocking units were designed by considering failure modes of masonry walls and produced using lightweight foamed concrete. To this end, three masonry walls which are hollow, fully grouted, and reinforced were constructed with interlocking units. Also, a traditional masonry brick wall was built for comparison reasons. The walls were tested under in-plane cyclic loading. Then, structural parameters of the walls such as lateral load bearing and total energy dissipation capacities, ductility, stiffness degradation as well as failure modes obtained from the tests were compared with each other. The results have shown that the walls with the interlocking units have better structural performance than traditional masonry brick walls and they may be used in the construction of low-rise masonry structures in rural areas to improve in-plane structural performance.

• 대한치과교정학회지
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• 제28권2호
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• pp.237-253
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• 1998

골격성 제 III급 부정교합 환자에서 성장조절이나 절충치료로 해결하기 어려운 경우 악교정 수술을 시행하게 되며, 이러한 환자의 대부분이 최대의 효과를 얻기 위해 상하악 동시 수술이 필요하다. 이러한 양악 수술에서, 교합평면의 설정은 진단 및 치료에 매우 중요한 기준이 되어지며, 바람직한 기능 및 심미적인 결과와 술후 안정성을 얻을수 있도록 계획되어져야 한다. 본 연구에서는 양악 수술을 시행받은 골격성 제 III급 부정교합 환자 48명 (남자25명 여자23명, 평균 연령 21.5세)을 대상으로 하여 교합평면의 설정에 사용되어지는 몇가지 진단 기준중, 많이 사용되어지고 있는 Delaire의 구조적, 구성적 분석에 의한 각 개인의 이상적인 교합평면의 술후 안정성에 대해서 평가하고자 이상적인 교합평면에 부합되게 수술이 시행된 군(A군-24명)과 이 평면에서 벗어난 군(B군-24명)으로 나누어, 수술 직전($T_1$)과 수술 직후($T_2$-평균 4.3일), 수술 8개월 이상 경과 후($T_3$-평균 1년 3개월)에 두군의 측모 두부 방사선 사진을 비교하여 다음과 같은 결론을 내렸다. 1. 양악 수술 후 $T_2와\;T_3$시기의 유의차를 보인 값은 교합평면과 하악평면이 이루는 각 이었으며 그외의 교합평면의 경사도에선 유의성 있는 차이를 보이지 않았다. 즉 교합평면의 술후 재발량은 SN평면과, FH평면에 대해서 각각 $0.24^{\circ}{\pm}2.43{\circ},\;0.15{\circ}{\pm}2.16{\circ}$로 양악 수술 후 교합평면의 안정성은 유지되었다. 2. A군과 B군사이에서 교합평면의 안정성에는 유의성 있는 차이가 없었다. 3. A군및 B군내에서 교합평면의 안정성은 술자 및 수술방법에 따라 유의성 있는 차이를 보이지 않았다. 4.술후 교합평면의 변화($T_3-T_2$)는 술후의 치아에 의한 변화 보다는 악골의 변화($T_3-T_2$)와 높은 순상관관계를 보였으며 특히 하악골의 변화와 높은 순상관관계를 보였다. 5. 술후 교합평면의 변화($T_3-T_2$)는 수술에 의한 상악골의 impaction양, 하악골의 후퇴량($T_2-T_1$)과는 상관관계를 보이지 않았다.

• 대한치과교정학회지
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• 제28권2호
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• pp.175-187
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• 1998

본 연구는 치료후 빈번한 재발로 인해 치료에 어려움을 겪는 III급 부정교합의 치료후 예후를 예측하는 데 도움을 주고자, 교정치료후 관찰기간동안 측모와 교합이 양호한 상태로 유지된 안정군(Stable group, n=12)과 그렇지 않고 재발의 경향을 보인 재발군(Relapse group, n=13)으로 나누고, 초진시 계측항목을 이용한 t-test, 상관분석 그리고 판별분석을 시행한 결과 다음과 같은 결론을 얻었다. 1. 상하악골의 전후방적인 위치와 관계를 나타내는 항목인 SNA, SNB, ANB, Angle of convexity 그리고 APDI에서 두 군간 통계학적으로 유의성 있는 차이를 보여주지 않아(p>0.05) 두 군간 전후방적 인 골격 형태에 있어서는 차이가 나지 않음을 알 수 있었다. 2. 교합평면의 경사도와 관련된 항목인 Wits, AB to Occlusal plane angle 그리고 Occlusal plane to Mandibular Plane angle에서 두 군간 통계학적으로 유의성 있는 차이를 보여(p<0.05)재발군의 교합평면이 안정군에 비해 전하방으로 많이 경사져 있음을 알 수 있었다. 3. 상하치열관계를 나타내는 항목인 Overjet에서 안정군이 재발군에 비해 절대치로 더 커(p<0.01) 전후방 골격부조화에 의한 것이 아닐 경우 치열의 전후방부조화가 클수록 치료후 예후가 좋음을 알 수 있었다. 4. 상관분석결과 Overjet과 Occlusal plane to Mandibular plane angle만이 통계학적으로 유의성 있는 상관관계를 보여 주었다(p<0.001, p<0.01). 5. 판별에 기여도가 높은 3항목 즉 Overjet, AB to Occlusal paine angle 그리고 Articular angle을 이용한 판별식을 도출하였으며, 이를 이용할 때 본 연구에 사용한 표본의 88%를 올바르게 판별할 수 있었다.

• 대한치과교정학회지
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• 제39권3호
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• pp.136-145
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• 2009

상기도 공간은 3차원 입체 구조물로서 두부규격방사선사진 등으로 분석하기에는 평가의 한계가 존재하였다. 본 연구는 최근 방사선 피폭량 등의 감소로 그 활용도가 높아진 cone beam CT (CBCT)를 이용하여 안면골격형태에 따른 상기도 공간의 면적, 전후방 폭경 및 측방 폭경을 측정하고 그 관련성을 알아보았다. 102명을 대상으로 CBCT (VCT, Vatech, Seoul, Korea)를 촬영하였으며, FH plane에 평행하면서 aa point (the most anterior point on the anterior arch of atlas), $CV_{2ia}$, $CV_{3ia}$ point (most infero-anterior point on the body of the second & third cervical vertebra)를 지나는 평면을 기준으로 설정하였다. 각 항목의 계측치는 one-way ANOVA를 이용하여 통계처리하고 Duncan test로 사후검정하였다. 연구 결과, 안면 골격형태에 따른 측방 폭경에는 유의한 차이가 없었다. Group 2 (Class II) 집단은 aa plane, $CV_2$ plane, $CV_3$ plane에 의해 형성된 상기도 공간의 단면적이 좁았으며, 전후방 폭경도 Group 3 (Class III)에 비해 유의성 있게 좁았다. 수직 안면골격형태와 정상 안면골격 형태간의 유의성 있는 차이는 없었으나, aa plane에서 형성된 상기도 공간의 전후방 폭경은 Group 1V (Class I vertical)가 Group 1N (Class I normal)에 비해 유의성 있게 좁은 것으로 나타났다 (p < 0.05).

• Structural Engineering and Mechanics
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• 제62권5호
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• pp.643-649
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• 2017

Masonry walls are amongst the oldest building systems. A large portion of the research on these structures focuses on the load-bearing walls. Numerical methods have been generally used in modelling load-bearing walls during recent years. In this context, macro and micro modelling techniques emerge as widely accepted techniques. Micro modelling is used to investigate the local behaviour of load-bearing walls in detail whereas macro modelling is used to investigate the general behaviour of masonry buildings. The main objective of this study is to investigate the elastic behaviour of the load- bearing walls in masonry buildings by using micro modelling technique. In order to do this the brick and mortar units of the masonry walls are modelled by the combination of plane truss elements and plane frame elements with no shear deformations. The model used in this study has fewer unknowns then the models encountered in the references. In this study the vertical frame elements have equivalent elasticity modulus and moment of inertia which are calculated by the developed software. Under in-plane static loads the elastic displacements of the masonry walls, which are encountered in literature, are calculated by the developed software, where brick units are modelled by plane frame elements, horizontal joints are modelled by vertical frame elements and vertical joints are modelled by horizontal plane truss elements. The calculated results are compatible with those given in the references.

• 대한조선학회논문집
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• 제44권3호
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• pp.323-331
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• 2007

Proposed Manta-type Unmanned Undersea Vehicle(UUV) turned out to have the tendency of dynamic instability in vertical plane, and moreover to have that of so strong dynamic stability in horizontal plane as to cause another problem in turning motion due to negative value of sway damping lever. The authors discussed the changes in appendage design for improvement of dynamic stability of UUV in vertical and horizontal planes. As a result, the dynamic stability in vertical plane was improved by increasing the area of horizontal stern planes. and the dynamic stability in horizontal plane was also improved by removal of lower vertical plate and by adjusting the area and position of upper vertical plate simultaneously.

• 한국주거학회논문집
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• 제26권6호
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• pp.139-146
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• 2015

In this study, the plane type of main building relics of unified Silla period house site which excavated in Gyeongju city after 1990s was classified and the architectural characteristic of them was investigated. The chronology of building relics in Silla capital city site was mostly known as 8-9th century, and by standard of column arrangement, the plane types of them could be classified as grid type, front veranda-grid type, outer column type. The outstanding characteristic of plane is wide span and open front veranda. In most relics the span were over 4 meters, and inner foundations for small post and strip foundation were found between columns. The front veranda added type buildings were composited of enclosed main room and open front veranda, and column arrangement of them dose not fall into line in most case. Thus it thought that the structures of enclosed main room and open front veranda were independent. The interior space of enclosed main room were divided two rooms by partition wall in some case. In this case, one room is enclosed by wall, and the other room has open front side. This plane is considered for the pleasant life in cold winter and hot summer.

• Structural Engineering and Mechanics
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• 제83권6호
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• pp.799-810
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• 2022

This study investigated the effect of the strengthening efficiency of unbonded steel-bar truss system on the out-of-plane behavior of perforated masonry walls. Four full-scale unreinforced masonry (URM) walls with two different planes were prepared using the unbonded steel-bar truss system and a URM walls without strengthening. All masonry walls were tested under constant axial and cyclic lateral loads. The obtained test results indicated that the pinching effect in the out-plane behavior of masonry walls tends to decrease in the in- and out-of-plane strengthened URM walls using the unbonded steel-bar truss system with the higher prestressing force ratio (R_p) of vertical reinforcing bars in the unbonded steel-bar truss system, regardless of the perforated type of the masonry wall. Consequently, the highest maximum shear resistance and cumulative dissipated energy at peak load in the post-peak behavior were observed in the in- and out-plane strengthened URM walls with the highest R_p values, which are 2.7 and 6.0 times higher than those of URM. In particular, the strengthening efficiency of the unbonded steel-bar truss system was primarily attributed to the vertical prestressed steel-bars rather than the diagonal steel-bars, which indicates that the strains in the vertical prestressed steel-bars at the peak load were approximately 1.6 times higher than those in the diagonal steel-bars.

• 건축역사연구
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• 제33권1호
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• pp.45-60
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• 2024

This study aims to examine the cutting traces remaining on the bracket tie beams of Sungnyemun gate, identifying the tools employed during the late Goryeo to early Joseon periods by specific processes, and deliberating on the timber shaping techniques utilized in advanced architectural construction during the late Goryeo to early Joseon eras. Through the research, it was confirmed that in the production of Sungnyemun Gate's bracket tie beams during the 14th to 15th centuries, both the timber splitting and ripsawing methods were used in conjunction. Moreover, the wood finishing process revealed the use of a plane. It can be inferred that the characteristics of the plane used during that time were not significantly different from those observed in the later period of the Joseon dynasty. The ripsawing and plane finishing techniques were evident in various parts of the bracket tie beams of Sungnyemun gate across the reigns of king Taejo and Sejong, indicating that the techniques involving ripsaw and plane were already prevalent in the late Goryeo period. Consequently, it can be inferred that the ripsawing and plane finishing techniques might have been applied in the construction of prominent government buildings in Hanyang(Seoul), including Gyeongbokgung Palace, and in the residences of royalty and nobility after the establishment of the Joseon dynasty.