• Title/Summary/Keyword: 접선 연속

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A Smooth Elasto-Plastic Cap Model(II): Integration Algorithm and Tangent Operator (연속 탄소성 캡 모델(II): 응력적분 및 접선계수)

  • 서영교
    • Journal of the Korean Geotechnical Society
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    • v.17 no.3
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    • pp.25-32
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    • 2001
  • 보편적인 탄소성 캡 모델은 전통적인 등방 이론에 기초를 두고 있다. 이러한 모델의 응력적분 및 접선 계수의 유도는 여러 가지 논문들에 나타나 있지만 축차 및 체적 거동을 동시에 다루는 내제적인 해석법을 통한 지반해석은 아직까지는 많은 도전이 요구되고 있다. 앞선 동반 논문에서는 비연속적으로 연결된 항복면 사이의 접선 계수는 특이점이 됨을 나타내었고 이에 대하여 새로운 캡 모델의 구성식이 제시되었다. 본 논문에서는 제시된 캡 모델의 비 조건적이고 안정된 내재적 응력적분 및 일관된 탄소성 접선계수를 유도하였다. 또한 간단한 예제를 통하여 모델의 수행능력을 보여주었고 사면안정계산이 수행되었다.

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A Smooth Elasto-Plastic Cap Model(I): Rate Formulation, Yield Surface Determination (연속 탄소성 캡 모델(I): 구성모델 및 항복면의 결정)

  • 서영교
    • Journal of the Korean Geotechnical Society
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    • v.17 no.3
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    • pp.15-23
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    • 2001
  • 탄소성 캡 모델의 중요한 장점은 여러 가지 다공체의 전체적인 축차 및 체적의 비선형 상호거동을 동시에 다룰 수 있음에 있다. 그러나 대부분의 캡 모델이 가진 문제점중의 하나는 세 개의 독립적인 항복면이 불연속으로 연결되어 있음으로부터 기인된다. 본 연구에서는 이러한 항복면 사이의 연결점에서의 탄소성 접선 계수는 특이점이 되고 수치해석상 잠재적인 어려움을 내재하고 있음을 나타내고 이러한 문제의 해결방안의 하나로 세 개의 항복면이 연속적으로 만나는 새로운 탄소성 캡 모델을 제시하였다. 본 논문에서는 모델의 증분형태의 구성식 및 새로운 응력을 구하기 위한 활동 항복면의 결정을 판단하는 알고리즘이 제시되었다. 동반 논문에서는 내재적인 응력적분 및 일관적인 접선계수를 유도하였고 예제계산들을 수행하였다.

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Applicability of Continuous Process Using Saturated and Superheated Steam for Boxed Heart Square Timber Drying (대단면 수심정각재 건조를 위한 포화-과열증기 연속 건조 공정의 이용가능성 평가)

  • PARK, Yonggun;CHUNG, Hyunwoo;KIM, Hyunbin;YEO, Hwanmyeong
    • Journal of the Korean Wood Science and Technology
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    • v.48 no.2
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    • pp.121-135
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    • 2020
  • This study aims to evaluate applicability for the continuous drying process using saturated and superheated steam for large-square timber. During drying of the boxed heart square timber, changes in moisture content were examined through the slices of the surface, inner and core layers. The results showed that there was a large moisture content difference between the surface and inner layers during saturated steam drying and between the inner and core layers during superheated steam drying. However, despite the moisture content difference between the layers, no surface check occurred, and an internal check occurred only near the pith or juvenile parts of the wood. The maximum value of the drying stress of the dried larch boxed heart square timber, calculated from the elastic strain of the slice and the tangential elastic modulus of the larch, was 1.30 MPa. The tangential tensile strength of the larch was estimated at 5.21 MPa under temperature and moisture content conditions when drying stress was at a maximum. That is, in the continuous drying process, the saturated and superheated steam did not generate a check in the surface because the drying stress of the wood did not exceed the tangential tensile strength. In further studies, the superheated steam drying conditions will need to be relaxed to suppress the occurrence of internal checks. Such studies would make the continuous drying process using saturated and superheated steam available for the drying of large-square timber.

Interactive G$^1$ Splines with Tangent Specification Method (접선 지정법을 이용한 대화형 G$^1$스플라인)

  • Ju, U-Seok;Park, Gyeong-Hui;Lee, Hui-Seung
    • The Transactions of the Korea Information Processing Society
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    • v.1 no.4
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    • pp.531-540
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    • 1994
  • Spline curve scheme is the most valuable tool for the CAD of industrial products. Hence, the development of a new, effective curve scheme can have immediate impact on the current design industries. This paper develops and implements a new methodology for the implementation of the visually continuous class of splines which can produce a more flexible and diverse curve shapes. This class of splines has advantaged over existing splines in that it can accommodate wider range of shapes while maintaining the interpolators property of the ordinary cardinal splines. Most importantly, we avoid using the previous method of implementing G$^1$ curves, where users must specify scalar values for the control of curve shapes. We derive and implement an easy-to -use transformation between the user-specified graphical tangent vectors and the actual parameters for the resulting curve. Since the resulting curve shape reflects original tangential direction faithfully, CAD users can simply represent approximate curve shapes with proper tangents. Consequently, a simple user interface device such as a mouse can effectively produce a various spline curves using the proposed spline tool.

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A Geometrically Nonlinear Analysis of the Curved Shell Considering Large Displacements and Large Rotation Increments (대변위 및 대회전을 고려한 만곡된 쉘의 기하학적 비선형 해석)

  • Jae-Wook Lee;Young-Tae Yang
    • Journal of the Society of Naval Architects of Korea
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    • v.29 no.2
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    • pp.132-139
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    • 1992
  • This paper presents geometrically nonlinear formulation of shell problems using the three-dimensional curved shell element, which includs large displacements and large rotations. Formulations of the geometrically nonlinear problems can be derived in a variety of ways, but most of them have been obtained by assuming that nodal rotations are small. Hence, the tangent stiffness matrix is derived under the assumptions that rotational increments are infinitesimal and the effect of finite rotational increments have to be considered during the equilibrium iterations. To study the large displacement and large rotation problems, the restrictions are removed and the formulations of the curved shell element including the effect of large rotational increments are developed in this paper. The displacement based finite element method using this improved formulation are applied to the analyses of the geometrically nonlinear behaviors of the single and double curved shells, which are compared with the results by others.

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Blending Surface with Parameter Control in Compound Surface (복합 곡면에서 매개변수 조정에 의한 블렌딩곡면 생성)

  • 김종열;이희관;공영식;양균의
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.10
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    • pp.148-155
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    • 1998
  • For products of various shapes, compound surfaces are used. Blending surfaces are essential to the products of the compound surfaces. In this paper a method of making shape of blending surface flexible with parameter control is discussed. The parameter has quantitative control of shape of the blend. The blending surface is applied to NURBS and simple primitives in solid model. Intersection curves of surfaces is used to provide the blend with generality. Rail curve are found with the intersection curves. The blend is generated by rail curves and parameter control. Also, In strict constraint condition, blending surface with flexible shapes is discussed, keeping ;${GC}^1$ and ;${GC}^2$ continuity between free-formed surfaces and solids. Joining blending ,bridge blending and blending surface at corner are generated.

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Humanity mathematics education: revealing and clarifying ambiguities in mathematical concepts over the school mathematics curriculum (인간주의 수학교육: 수학적 개념의 모호성을 드러내고 명확히 하기)

  • Park, Kyo-Sik;Yim, Jae-Hoon;Nam, Jin-Young
    • Journal of Educational Research in Mathematics
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    • v.18 no.2
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    • pp.201-221
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    • 2008
  • This study discusses how the humanity mathematics education can be realized in practice. The essence of mathematical concept is gradually disclosed revealing the ambiguities in the concept currently accepted and clarifying them. Historical development of mathematical concepts has progressed as such, exemplified with the group-theoretical thought and continuous function. In learning of mathematical concepts, thus, students have to recognize, reveal and clarify the ambiguities that intuitive and context-dependent definitions in school mathematics have. We present the process of improvement of definitions of a tangent and a polygon in school mathematics as examples. In the process, students may recognize the limitations of their thoughts and reform them with feelings of humility and satisfaction. Therefore this learning process would contribute to cultivating students' minds as the humanity mathematics education pursues.

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A Study on Evaluation Index of the Panelizing Optimization for Architectural Freeform Surfaces (비정형 건축곡면 패널분할 최적화를 위한 평가지표에 관한 연구)

  • Ryu, Jeong-Won
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.14 no.7
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    • pp.3528-3537
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    • 2013
  • Evaluation indices of the panelizing optimization for Architectural freeform surfaces are proposed for quantitative evaluation through the case studies on panelizing optimization and evaluation index for Architectural freeform surfaces. Proposed evaluation items are adherence to original design intent, production ease, and continuity. The evaluation index for adherence to original design intent is surfaces fitness, the evaluation indices for production ease are planarity, planar panel ratio, and the evaluation indices for continuity are tangent continuity, and divergence. Algorithms are also suggested to compute the proposed evaluation indices.

Model on the Elastic Deflection of Temple of the Spectacle Frame (안경테 다리의 탄성변형에 관한 모델)

  • Kim, Dae-Soo
    • Journal of Korean Ophthalmic Optics Society
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    • v.12 no.1
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    • pp.41-51
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    • 2007
  • Differential equations and their solutions were formulated to describe the deflection of the tapered, nonuniform thickness and width's temple, clamped at one end while the perpendicular force is acting on the other end which is freely suspended. The model was derived based on laws of continuity at every point inside the elastic medium that the deflection, tangent slope, bending moment, shearing force must be continuous within the medium. The model is found to be in good agreement with measurements on the beta titanium temple with the correlation 0.992 and p=0.999(Chi test). Therefore it is possible to predict the effect of various temple parameters such as elastic modulus, thickness, width on the deflection of the temples being considered.

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Calculate the Inside electromagnetic field of a cavity using Modal MoM (Modal MoM법을 이용한 육면체 공진기 내부에 침투한 전자파 계산법)

  • Lee, Youn-Ju;Chung, Young-Seek;Park, Sang-Bok;Cheon, Changy-Ul
    • Proceedings of the KIEE Conference
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    • 2006.07c
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    • pp.1603-1604
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    • 2006
  • 본 논문은 구멍(aperture)이 나있는 육면체 진기에 전자파가 조사 되었을 때, 공진기 내부에 침투한 전자파를 Modal MoM 수치계산법을 이용하여 추정하였다. 공진기 내부의 전자파는 cavity Green 함수로, 외부는 자유 공간 Green 함수로 표현 할 수 있고, 구멍이 난 부분에서 전계와 자계의 접선 성분이 연속하다는 경계조건을 이용하여, 차폐하고자 하는 도체공간 내부에 침투한 전자파를 알 수 있다.

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