• 한국음향학회지
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• 제19권2호
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• pp.73-82
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• 2000

I사 회의장은 실의 용도에 따른 실내음향특성에 대한 고려없이 설계, 시공되어 잔향시간이 길고 명료도가 매우 낮아 실내음향특성의 개선이 요구되어 왔다. 본 연구에서는 I사 회의장의 실내음향특성의 개선을 위해 실험 및 기하음향법을 이용한 시뮬레이션(simulation)을 수행하였다. 시뮬레이션을 수행함으로써 개선 안에 대한 음향파라미터 예측이 가능해졌고, 이로써 I사 회의장의 실내음향특성을 개선하기 위한 방안을 수립하였다. 그리고, 시뮬레이션의 결과에 대한 검증을 위해 시뮬레이션 값들을 실험치와 비교 평가하였다. 또한, 개선공사 후 실내음향 특성을 성공적으로 개선시킴으로써 본 논문에서 제안한 해석방법의 타당성이 입증 되었다.

• 한국수학사학회지
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• 제22권4호
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• pp.41-52
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• 2009

본 논문에서는 조선 시대의 산학서에서 다루어진 삼각형에 대한 내용을 고찰한다. 기하보다 대수에 대한 연구가 주를 이루었던 조선시대 산학 연구의 특성을 고려하면, 삼각형 자체에 대한 기하학적 탐구보다는 삼각형 모양의 밭의 넓이 측정 방법에 대한 설명이 기대된다. 그러나 예외적으로 직각삼각형인 구고에 대해서는 심도 있는 연구가 이루어졌고, 측정이라 하더라도 일반 삼각형에 대해서는 근삿값 수준으로 다루어진 것을 감안하면 삼각형 관련 내용에 대한 분석은 의의 있다고 생각된다. 조선의 산학서 <묵사집산법>, <구일집>, <산학입문>, <주해수용>, <산술관견>에 대한 고찰 결과, 삼각형 관련 내용은 크게 세 가지로 분류할 수 있 다. 측정의 필요가 있던 밭 모양과 관련한 도형의 측도, 측정 대상으로서의 도형으로부터 기하 연구 대상으로서의 도형으로 넘어가는 과도기적 내용, 서양 수학의 영향으로 인한 도형의 정의 및 성질에 대한 탐구와 타당화이다.

• 한국공작기계학회논문집
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• 제15권2호
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• pp.73-80
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• 2006

This paper describes a analysis on the chip thickness model required for cutting force simulation in ball-end milling. In milling, cutting forces are obtained by multiplying chip area to specific cutting forces in each cutting instance. Specific cutting forces are one of the important factors for cutting force predication and have unique value according to workpiece materials. Chip area in two dimensional cutting is simply calculated using depth of cut and feed, but not simply obtained in three dimensional cutting such as milling due to complex cutting mechanics. In ball-end milling, machining is almost performed in the ball part of the cutter and tool radius is varied along contact point of the cutter and workpiece. In result, the cutting speed and the effective helix angle are changed according to length from the tool tip. In this study, for chip thickness model analysis, tool and chip geometry are analyzed and then the definition of chip thickness and estimation method are described. The resulted of analysis are verified by compared with geometrical simulation and other research. The proposed chip thickness model is more precise.

• 대한기계학회논문집
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• 제19권9호
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• pp.2089-2104
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• 1995

A novel and efficient cutter path planning method for machining intricately shaped curved surfaces, called the steepest directed tree method, is presented. The curved surface is defined by triangular facets, the density and structure of which are determined by the intricacy and form accuracy of the surface. Geometrical form definition and recognition of the topological features are used to connect the nodes of the triangulated surface meshes for the successive and interconnected steepest pathways, which makes good use of end milling characteristics. The planetary cutter centers are determined to locate along smoothly changing paths and then the height values of the cutter are adjusted to avoid surface interference. Several machined examples of intersecting and intricate surfaces are presented to illustrate the benefits of the new approach. It is shown that due to more consistent geometry matching between cutter and surface(in comparison with the current CC Cartesian method) surface finish can be typically improved. Moreover, the material in concave fillets which is difficult to be removed by ball mills can be removed efficiently. The built-in positioning of cutter to avoid interference runs minutely in the sharp and discontinuous regions. The steepest upward movement of the cutter gives a stable dynamic cutting state and allows increase in the feedrate and spindle speed while remaining the stable cutting state.

• 항공우주기술
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• 제5권2호
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• pp.114-118
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• 2006

본 논문에서는 통신해양기상위성(COMS)을 위해 예비성능이 최적화된 추력기 형상을 기술한다. EUROSTAR 3000 플랫폼을 기초로 COMS 플랫폼 제작을 위해 정확한 추력기 조정각이 결정되어야 한다. 이 조정각들은 COMS의 위성 무게중심과 추력기 위치에 따라 구체적으로 결정되어야 한다. 추력기 A/B의 중간지점과 MOL 기준으로 피치 추력기(6, 7), 남쪽 추력기(1, 2, 3)와 동서 추력기(4, 5)의 최적 위치와 추력벡터를 얻었다. 추력기에 의한 토크 즉 플룸토크와 기하학적 토크는 추력기에 의한 예비성능을 향상하기 위해 최소화되었다.

• Structural Engineering and Mechanics
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• 제13권2호
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• pp.135-154
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• 2002

This paper presents the convected material frame approach to study the nonlinear behavior of inelastic frame structures. The convected material frame approach is a modification of the co-rotational approximation by incorporating an adaptive convected material frame in the basic definition of the displacement vector and strain tensor. In the formulation, each discrete element is associated with a local coordinate system that rotates and translates with the element. For each load increment, the corresponding strain-displacement and nodal force-stress relationships are defined in the updated local coordinates, and based on the updated element geometry. The rigid body motion and deformation displacements are decoupled for each increment. This modified approach incorporates the geometrical nonlinearities through the continuous updating of the material frame geometry. A generalized nonlinear function is used to derive the inelastic constitutive relation and the kinematic hardening is considered. The equation of motion is integrated by an explicit procedure and it involves only vector assemblage and vector storage in the analysis by assuming a lumped mass matrix of diagonal form. Several numerical examples are demonstrated in close agreement with the solutions obtained by the ANSYS code. Numerical studies show that the proposed approach is capable of investigating large deflection of inelastic planar structures and providing an excellent numerical performance.

• Current Optics and Photonics
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• 제4권6호
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• pp.500-508
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• 2020

The rifling angle of artillery is an important parameter, and its determination plays a key role in the stability, hit rate, accuracy and service life of artillery. In this study, we propose an optical measurement method for the rifling angle based on angle error correction. The method is based on the principle of geometrical optics imaging, where the rifling on the inner wall of the artillery barrel is imaged on a CCD camera target surface by an optical system. When the measurement system moves in the barrel, the rifling image rotates accordingly. According to the relationship between the rotation angle of the rifling image and the travel distance of the measurement system, different types of rifling equations are established. Solving equations of the rifling angle are deduced according to the definition of the rifling angle. Furthermore, we added an angle error correction function to the method that is based on the theory of dynamic optics. This function can measure and correct the angle error caused by the posture change of the measurement system. Thus, the rifling angle measurement accuracy is effectively improved. Finally, we simulated and analyzed the influence of parameter changes of the measurement system on rifling angle measurement accuracy. The simulation results show that the rifling angle measurement method has high measurement accuracy, and the method can be applied to different types of rifling angle measurements. The method provides the theoretical basis for the development of a high-precision rifling measurement system in the future.

• 한국수학교육학회지시리즈A:수학교육
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• 제47권2호
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• pp.197-219
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• 2008

Unlike ordinary situations, deifinitions play a very important role in mathematics education in schools. Mathematical concepts have been mainly acquired by given definitions. However, according to didactical intentions, mathematics education in schools has employed mathematical concepts and definitions with less strict forms than those in pure mathematics. This research mainly discusses definitions used in geometry (promising) course in primary schools to cope with possibilities of creating misconception due to this didactical transformation. After analyzing problems with potential misconceptions, a survey was conducted $\underline{with}$ 80 primary school teachers in Jeju to investigate their recognitions in meaning of mathematical concepts in geometry and attitudes toward teaching. Most of the respondents answered they taught their students while they knew well about mathematical definitions in geometry but the respondents sometimes confused mathematical concepts of polygons and circles. Also, they were aware of problems in current mathematics textbooks which have explained figures in small topics (classes). Here, several suggestions are proposed as follows from analyzing teachers' recognitions and researches in mathematical viewpoints of definitions (promising) in geometric figures which have been adopted by current mathematics textbooks in primary schools from the seventh educational curriculum. First, when primary school students in their detailed operational stage studying figures, they tend to experience $\underline{a}$ collision between concept images acquired from activities to find out promising and concept images formed through promising. Therefore, a teaching method is required to lessen possibility of misconceptions. That is, there should be a communication method between defining conceptual definitions and Images. Second, we need to consider how geometric figures and their elements in primary school textbooks are connected with fundamental terminologies laying the foundation for geometrical definitions and more logical approaches should be adopted. Third, the consistency with studying geometric figures should be considered. Fourth, sorting activities about problems in coined words related to figures and way and time of their introductions should be emphasized. In primary schools mathematics curriculum, geometry has played a crucial role in increasing mathematical ways of thoughts. Hence, being introduced by parts from viewpoints of relational understanding should be emphasized more in textbooks and teachers should teach students after restructuring this. Mathematics teachers should help their students not only learn conceptual definitions of geometric figures in their courses well but also advance to rigid mathematical definitions. Therefore, that's why mathematics teachers should know meanings of concepts clearly and accurately.

• 대한수학교육학회지:학교수학
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• 제18권1호
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• pp.1-14
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• 2016

본 논문에서는 우리나라 초등학교 수학 교과서에서 취급하는 내용의 범위를 명확하게 정하기 위한 토대를 마련하기 위해, 현행 교과서에서 취급하는 내용과 관련한 문제점을 분석하고 있다. 먼저 교육과정과의 불일치라는 의미에서 쟁점이 될 수 있는 것으로 퍼센트포인트, 오목다각형, 사건이 일어날 가능성의 취급에 관해 논의하고 있다. 다음으로 일상생활에서 사용하는 방식과의 간격이라는 의미에서 쟁점이 될 수 있는 것으로 이산량 단위를 붙인 분수와 '배'를 붙인 분수의 취급에 관해 논의하고 있다. 마지막으로 논리적인 비약이라는 의미에서 쟁점이 될 수 있는 것으로, 자연수를 분수로 나타내기와 도형의 위치 관계의 취급에 관해 논의하고 있다. 그리고 이러한 논의 결과로부터 얻은 다음 시사점 세 가지를 결론으로 제시하고 있다. 첫째, 교과서와 교육과정의 관계를 명확히 설정할 필요가 있다. 둘째, 교과서에서 개념을 정의 또는 취급하는 방식과 일상생활에서 그 개념을 사용하는 방식의 혼용에 유의할 필요가 있다. 셋째, 교과서에서 논리적 비약을 확인하고 그것을 해소할 필요가 있다.

• Computers and Concrete
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• 제15권6호
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• pp.951-972
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• 2015

The focus of the present study is to investigate both local and global behaviour of a precast concrete sandwich panel. The selected prototype consists of two reinforced concrete layers coupled by a system of cold-drawn steel profiles and one intermediate layer of insulating material. High-definition nonlinear finite element (FE) models, based on 3D brick and 2D interface elements, are used to assess the capacity of this technology under shear, tension and compression. Geometrical nonlinearities are accounted via large displacement-large strain formulation, whilst material nonlinearities are included, in the series of simulations, by means of Von Mises yielding criterion for steel elements and a classical total strain crack model for concrete; a bond-slip constitutive law is additionally adopted to reproduce steel profile-concrete layer interaction. First, constitutive models are calibrated on the basis of preliminary pull and pull-out tests for steel and concrete, respectively. Geometrically and materially nonlinear FE simulations are performed, in compliance with experimental tests, to validate the proposed modeling approach and characterize shear, compressive and tensile response of this system, in terms of global capacity curves and local stress/strain distributions. Based on these experimental and numerical data, the structural performance is then quantified under various loading conditions, aimed to reproduce the behaviour of this solution during production, transport, construction and service conditions.