• Title/Summary/Keyword: 기하적 성질

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The Effect of Thermal Buoyancy on Air Flow and Temperature Distribution in a Slot-Ventilated Livestock Building (환기중(換氣中)인 축사(畜舍)의 열부력(熱浮力)이 공기유동 및 온도분포에 미치는 영향)

  • Choi, H.L.
    • Journal of Biosystems Engineering
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    • v.18 no.2
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    • pp.144-157
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    • 1993
  • 환기중인 실험축사내에서 가축의 현열과 환기공기의 온도차에 의한 열부력(熱浮力)(thermal buoyancy)이 공기유동 및 온도분포에 미치는 영향을 구명(究明)하기 위하여 TEACH 컴퓨터프로그램($k-{\varepsilon}$ 난류모형 및 SIMPLE계열 Algorithm)을 Curvilinear Coordinates에 맞게 변형하였다. 계산한 축사내 공기유통 및 온도분포의 유의성(有意性) 검증은 Boon(1978)의 실험결과를 이용하였다. 열부력의 크기에 따른 유동의 변화를 관찰하기 위하여 유입공기의 온도를 $17^{\circ}C$$10^{\circ}C$ 두 수준으로 입력하였으며, 가축의 현열플릭스(flux)는 실내온도에 따라 변화하므로 유압공기의 온도가 $17^{\circ}C$일 때는 130W/$m^2$, $10^{\circ}C$일 때는 170W/$m^2$을 경계조건으로 입력하였다. 예측한 공기유동의 형태는 실험값(Boon, 1978)과 비교하여 대체로 만족할만한 결과를 얻었다. 그러나 유입공기의 온도가 $10^{\circ}C$인 경우, 예측 공기유동은 실험 유동형태와 차이가 있었다. 즉, 실험에서는 수평슬롯으로 유입된 공기가 바로 아래로 굴절되어 유동(流動)하였으나, 계산의 결과는 일정 거리로 수평방향으로 유동하다가 아래로 굴절하였다. 이런 유동의 차이는 경험적으로 열부력(熱浮力)에 민감하게 반응하지 않는 k-${\varepsilon}$ 난류(亂流)모형의 적용이 원인이 되거나 실험의 부적절한 수행이 원인이 될 수도 있다. 이 유동(流動)의 Reynolds 수(數) (Re)는 약 3,300, 수정Ar수(修正Ar數)(Corrected Archimedes Number : $Ar_c$)64로써, $Ar_c$ <30 이거나 $Ar_c$ >75이면 유입공기의 제트는 수평유동한다는 Randall & Battams(1979)의 연구결과와는 일치하였다. 그러나 공기제트의 굴절은 유동의 특성이 같다하더라도 유체의 성질, 축사의 기하학적 형태에 따라서 매우 민감하게 반응하므로 실제 실험을 통한 재검정과정을 거쳐야 할 것으로 판단된다. Fig. 9와 Fig. 10의 기하학적 형태의 지점별 예측온도와 측정온도(Boon, 1978)와의 편차는 대부분의 지점에서는 $1^{\circ}C$ 미만으로 상당히 정확하였으며, 최대의 온도차는 Fig. 10의 지점 13에서 $1.7^{\circ}C$이었다.

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Determination of Steel-concrete Interface Parameters: Me chanical Properties of Interface Parameters (강-콘크리트 계면의 계면상수 결정 : 계면상수의 역학적 성질)

  • Lee, Ta;Joo, Young-Tae;Lee, Yong-Hak
    • Journal of the Korea Concrete Institute
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    • v.21 no.6
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    • pp.781-788
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    • 2009
  • Mechanical properties of steel-concrete interface were evaluated on the basis of experimental observations. The properties included bond strength, unbounded and bonded friction angles, residual level of friction angle, mode I fracture energy, mode II bonded fracture energy and unbonded slip-friction energy under different levels of normal stress, and shape parameters to define geometrical shape of failure envelope. For this purpose, a typical type of constitutive model of describing steel-concrete interface behavior was presented based on a hyperbolic three-parameter Mohr-Coulomb type failure criterion. The constitutive model depicts the strong dependency of interface behavior on bonding condition of interface, bonded or unbounded. Values of the interface parameters were determined through interpretation of experimental results, geometry of failure envelope and sensitivity analysis. Nonlinear finite element analysis that incorporates steel-concrete interface as well as material nonlinearities of concrete and steel were performed to predict the experimental results.

A study on the contents related to the plane figures of Joseon-Sanhak in the late 18th century (18세기 후반 조선산학서에 나타난 평면도형 관련 내용 분석)

  • Choi, Eunah
    • The Mathematical Education
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    • v.61 no.1
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    • pp.47-62
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    • 2022
  • This study investigated the contents related to the plane figures in the geometry domains of Joseon-Sanhak in the late 18th century and focused on changes in explanations and calculation methods related to plane figures, the rigor of mathematical logic in the problem-solving process, and the newly emerged mathematical topics. For this purpose, We analyzed , and written in the late 18th century and and written in the previous period. The results of this study are as follows. First, an explanation that pays attention to the figures as an object of inquiry, not as a measurement object, and a case of additional presentation or replacing the existing solution method was found. Second, descriptions of the validity of calculations in some problems, explanations through diagrams with figure diagrams, clear perceptions of approximations and explanations of more precise approximation were representative examples of pursuing the rigor of mathematical logic. Lastly, the new geometric domain theme in the late 18th century was Palsun corresponding to today's trigonometric functions and example of extending the relationship between the components of the triangle to a general triangle. Joseon-Sanhak cases in the late 18th century are the meaningful materials which explain the gradual acceptance of the theoretical and argumentative style of Western mathematics

3D Finite Element Analysis of High Tension Bolted Joints (고장력 볼트 이음부의 3차원 유한요소 해석)

  • Shim, Jae Soo;Kim, Chun Ho;Kim, Dong Jo
    • Journal of Korean Society of Steel Construction
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    • v.16 no.4 s.71
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    • pp.407-414
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    • 2004
  • Bridges in common use are expected to have more varieties of load in their connected members and bolts than in construction. Faults in connection members or bolts occur so often according to the time flow. One of the purposes of this study is to find out the behavior and structural features of high-tension bolted joints with faults that are very difficult and cost much to find out through experimentation with finite element analysis. Another purpose of this study is to provide sufficient data, estimated experimental results, and the scheme of the test plate for an economical experimental study in the future. Surveys of bridges with a variety of faults and statistical classifications of their faults were performed, as was a finite element analysis of the internal stress and the sliding behavior of standard and defective bridge models. The finite element analysis of the internal stress was performed according to the interval of the bolt, the thickness of the plate, the distance of the edge, the diameter of the bolt, and the expansion of the construction. Furthermore, the analysis explained the sliding behavior of high-tension bolt joints and showed the geometric non-linear against the large deformation, and the boundary non-linear against the non-linear in the contact surface, including the material non-linear, to best explain the exceeding of the yield stress by sliding. A normally bolted high-tension bolt joint and deduction of bolt tension were also analyzed with the finite element analysis of bridge-sliding behavior.

An investigation on the hyper-dimensional figure by the principle of the permanence of equivalent forms (형식불역의 원리를 통한 고차원 도형의 탐구)

  • 송상헌
    • Journal of Educational Research in Mathematics
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    • v.13 no.4
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    • pp.495-506
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    • 2003
  • In this study, 1 investigated some properties on the special hyper-dimensional figures made by the principle of the performance of equivalent forms representation. I supposed 2 definitions on the making n-dimensional figure : a cone type(hypercube) and a pillar type(simplex). We can explain that there exists only 6 4-dimensional regular polytopes as there exists only 5 regular polygons. And there are many hyper-dimensional figures, they all have sufficient condition to show the general Euler' Characteristics. And especially, we could certificate that the simplest cone type and pillar types are fitted to Pascal's Triangle and Hasse's Diagram, each other.

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Semi-Empirical MO Calculations on ${\pi}$-Nonbonded and ${\sigma}$-Conjugative Interactions (반경험적 분자궤도함수 계산법에 의한 ${\pi}$-비결합 및 ${\sigma}$-컨쥬게이션 상호작용에 관한 연구)

  • Ikchoon Lee;Young Gu Cheun;Kiyull Yang;Wang Ki Kim
    • Journal of the Korean Chemical Society
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    • v.26 no.4
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    • pp.195-204
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    • 1982
  • Semi-empirical MO calculations, EHT, CNDO/2, MINDO/3, and MNDO met hods, were performed on various geometries of n-butane, n-alkyl radical and tetramethylene diracal (triplet) in order to compare eigenvalue and eigenvector properties with those obtained by STO-3G method. All methods predicted the same relative order of stabilities of various geometries for n-butane; geometrical preferences were found to be dominated by one-electron factor, ${\pi}$-orbital energy changes being more impotant in the semi-empirical methods. The hyperconjugative energy changes accompanying structural changes from $(n-{\sigma}{\ast})_{trans}$ to (n-{\sigma}{\ast})cis were underestimated in the EHT, CNDO/2 and MINDO/3, whereas those were overestimated in the MNDO. The net destabilizing effect of $(n-{\sigma}{\ast})_{trans}$ structure was mainly due to the large internuclear energy involved in the structure. Through-space interaction between $n_1$ and $n_2$ orbitals of diradical caused energy gap narrowing of ${\Delta}E_{sp}$ and ${\Delta}{\varepsilon}={\varepsilon}_0$-${\varepsilon}_{av}$; through-space interaction had opposing effect to that of through-bond interaction. Due to the less severe neglect of differential overlaps in the MNDO, this energy gap narrowing effect appeared amplified in the MNDO. In general orbital properties were found to be reproduced satisfactorily, but eigenvalue properties were not, in all the semi-empirical methods especially when ${\sigma}-{\sigma}{\ast}$ and n-$n-{\sigma}{\ast}$interactions were involved.

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Hysteresis Behavior of Partially Restrained Smart Connections for the Seismic Performance of Composite Frame (CFT 합성골조의 내진성능을 위한 스마트 반강접합의 이력거동)

  • Kim, Joo Woo
    • Journal of Korean Society of Steel Construction
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    • v.27 no.1
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    • pp.99-108
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    • 2015
  • The partially restrained smart CFT (concrete filled tube) column-to-beam connections with top-seat split T connections show various behavior characteristics according to the changes in the diameter and tightening force of the fastener, the geometric shape of T-stub, and material properties. This paper presents results from a systematic three-dimensional nonlinear finite element study on the structural behavior of the top-seat split T connections subjected to cyclic loadings. This connection includes super-elastic shape memory alloy (SMA) T-stub and rods to obtain the re-centering capabilities as well as great energy dissipation properties of the CFT composite frame. A wide scope of additional structural behaviors explain the influences of the top-seat split T connections parameters, such as the different thickness and gage distances of split T-stub.

Conjunctive Boolean Query Optimization based on Join Sequence Separability in Information Retrieval Systems (정보검색시스템에서 조인 시퀀스 분리성 기반 논리곱 불리언 질의 최적화)

  • 박병권;한욱신;황규영
    • Journal of KIISE:Databases
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    • v.31 no.4
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    • pp.395-408
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    • 2004
  • A conjunctive Boolean text query refers to a query that searches for tort documents containing all of the specified keywords, and is the most frequently used query form in information retrieval systems. Typically, the query specifies a long list of keywords for better precision, and in this case, the order of keyword processing has a significant impact on the query speed. Currently known approaches to this ordering are based on heuristics and, therefore, cannot guarantee an optimal ordering. We can use a systematic approach by leveraging a database query processing algorithm like the dynamic programming, but it is not suitable for a text query with a typically long list of keywords because of the algorithm's exponential run-time (Ο(n2$^{n-1}$)) for n keywords. Considering these problems, we propose a new approach based on a property called the join sequence separability. This property states that the optimal join sequence is separable into two subsequences of different join methods under a certain condition on the joined relations, and this property enables us to find a globally optimal join sequence in Ο(n2$^{n-1}$). In this paper we describe the property formally, present an optimization algorithm based on the property, prove that the algorithm finds an optimal join sequence, and validate our approach through simulation using an analytic cost model. Comparison with the heuristic text query optimization approaches shows a maximum of 100 times faster query processing, and comparison with the dynamic programming approach shows exponentially faster query optimization (e.g., 600 times for a 10-keyword query).

On Constructing Fractal Sets Using Visual Programming Language (Visual Programming을 활용한 Fractal 집합의 작성)

  • Geum Young Hee;Kim Young Ik
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.3 no.3
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    • pp.177-182
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    • 2002
  • In this paper, we present a mathematical theory and algorithm consoucting some fractal sets. Among such fractal sets, the degree-n bifurcation set as well as the Julia sets is defined by extending the concept of the Mandelbrot set to the complex polynomial $Z^n$+c($c{\epsilon}C$, $n{\ge}2$). Some properties of the degree-n bifurcation set and the Julia sets have been theoretically investigated including the symmetry, periodicity, boundedness, and connectedness. An efficient algorithm constructing both the degree-n bifurcation let and the Julia sets is proposed using theoretical results. The mouse-operated software called "MANJUL" has been developed for the effective construction of the degree-n bifurcation set and the Julia sets in graphic environments with C++ programming language under the windows operating system. Simple mouse operations can construct ann magnify the degree-n bifurcation set as well af the Julia sets. They not only compute the component period but also save the images of the degree-n bifurcation set and the Julia sets to visually confirm various properties and the geometrical structure of the sets. A demonstration has verified the useful versatility of MANJUL.of MANJUL.

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Reliability Analysis for Fracture of Concrete Armour Units (콘크리트 피복재의 단면파괴에 대한 신뢰성 해석)

  • 이철응
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.15 no.2
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    • pp.86-96
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    • 2003
  • A fracture or breakage of the concrete armor units in the primary cover layer of breakwaters is studied by using the reliability analysis which may be defined as the structural stability. The reliability function can be derived as a function of the angle of rotation that represents the rocking of armor units quantitatively. The relative influences of all of random variables related to the material and geometric properties on the fracture of armor units is analyzed in detail. In addition, the probability of failure for the fracture of individual armor unit can be evaluated as a function of the incident wave height. Finally, Bernoulli random process and the allowable fracture ratio may be introduced together in this paper, by which the probability of failure of a breakwater due to the fracture of armer units can be obtained straightforwardly. It is found that the probability of failure of a breakwater due to the fracture of armor units may be varied with the several allowable fracture ratios. Therefore, it should be necessary to consider the structural stability as well as the hydraulic stability for the design of breakwaters with multi-leg slender concrete armor units of large size under wave action in deep water.