• 제목/요약/키워드: closed form

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평행평판 도파관내 수평자기쌍극자에 대한 개선된 단순함수형태의 그린함수 (Improved closed-form Green's function for a horizontal magnetic dipole in a parallel-plate waveguide)

  • 이영순;권호상;조영기
    • 전자공학회논문지D
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    • 제35D권5호
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    • pp.24-32
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    • 1998
  • Spatial green's functions for a horizontal magnetic dipole in a parallel-plate waveguide are expressed in an improved closed-form with two-level approximation of the spectral green's functions. The results evaluated by the present closed-from green's function with two-level approximation are compard with those obtained the previous closed-form green's function with one-level approximation. The present results are observed to be more acurate than the previous results over wide frequency range as well as whole spatial range. The combination of the present closed-form green's functions and the moment mehtod may help in analyzing the problem of EMP coupling through an aperture into a parallel-plat waveguide and the microstrip slot antenna with a reflector.

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새로운 형태의 Closed-Form 그린함수의 유도를 위한 근사 경로의 최적선택 (An Optimum Choice of Approximation Path for Derivation of New Class of Closed-Form Green's Functions)

  • 이영순;김의중
    • 한국전자파학회논문지
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    • 제16권4호
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    • pp.418-426
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    • 2005
  • 본 논문에저는 MoM 행렬 요소의 해석적 계산이 가능한 새로운 형태의 closed-form 그린함수 유도를 위한 최적의 근사화 경로 선택을 3-단계 근사화 방법 및 SDP(Steepest Descent Path) 방법을 고려하여 제시하였다. 본 논문의 방법으로 유도된 새로운 형태의 closed-form그린함수 계산 결과가 기존의 방법과 달리 파수 영역 그린함수의 사전조사 없이도 넓은 주파수 범위에서 보다 정확한 결과를 주고 있음을 알 수 있었다. 본 논문이 제안하는 방법의 타당성을 확인하기 위하여 몇 가지 수치 결과들을 제시하였다.

OBTAINING WEAKER FORM OF CLOSED SETS IN TOPOLOGICAL SPACE USING PYTHON PROGRAM

  • Prabu, M. Vivek;Rahini, M.
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제29권1호
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    • pp.93-102
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    • 2022
  • The impact of programming languages in the research sector has helped lot of researchers to broaden their view and extend their work without any limitation. More importantly, even the complex problems can be solved in no matter of time while converting them into a programming language. This convenience provides upper hand for the researchers as it places them in a comfort zone where they can work without much stress. With this context, we have converted the research problems in Topology into programming language with the help of Python. In this paper, we have developed a Python program to find the weaker form of closed sets namely alpha closed set, semi closed set, pre closed set, beta closed set and regular closed set.

Wölfflin과 Delong 이론을 통해 고찰한 영화의상의 형태적 특성 연구 (A Study on the Formative Character of Cinema Costume from the Theoretical Perspectives of Wölfflin and Delong)

  • 윤지영
    • 한국의류학회지
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    • 제33권7호
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    • pp.1140-1151
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    • 2009
  • This study researches the formative character of 1920's fashion through cinema costumes from the perspective of the theories of W$\"{o}$lfilin and Delong. This study organizes a new perspective such as closed form & open form, part recognition & whole recognition, and flat & rounded to analyze the characteristics of form in the costumes of 'The Great Gatsby', 'Chariots of Fire', and 'Chicago'. The 1920's style in the fashion history is a closed form and flat because of simplicity and functionality. The costumes in Chariots of Fire' that focuses on the reappearance of 1920's fashion is a flat and closed form. However, the costumes of 'The Great Gatsby' that presents a symbolic meaning and 'Chicago' that expresses a splendid look are an open and rounded form. Evening dresses are open, with whole recognition and a rounded form because of sheer fabrics, beading, uneven hemlines, and lighting. Daytime dresses are a closed form and flat because of heavyweight fabrics, dark or achromatic colors and non-patterns. Also, open form and rounded, closed form and flat have a similar distribution in diagrams. When the viewer recognizes the form of clothes, they react in a similar way to two-dimensional and three-dimensional presentations that shows that the form of clothes is recognized by the relation with the body. In addition, this study researches the connection between diverse elements such as clothes, body, movements, space, and external elements such as lighting.

정확한 Closed-Form 그린함수를 이용한 코플래너 도파로 불연속 해석 (Analysis of Coplanar Waveguide Discontinuities Using Accurate Closed-Form Green's function)

  • 강연덕;송성찬;이택경
    • 한국항행학회논문지
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    • 제7권2호
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    • pp.180-190
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    • 2003
  • 실수축 상의 적분 방법에 의한 정확한 closed-form 그린함수를 이용하여 코플래너 도파로의 불연속에 대한 공간영역 full-wave 해석을 하였다. MPIE(Mixed Potential Integral Equation)를 풀기 위한 수치계산 방법으로는 삼각형 요소를 이용한 갤러킨 방법을 사용하였다. 경계면에서 삼각형 요소상의 기저함수로는 선형함수를 사용하였으며, 관측점과 전원점이 일치하는 특이점 근방의 적분 계산을 위해 면적분을 선적분 형태로 바꾸어 피적분 함수의 특이점이 사라지도록 하는 해석적인 방법을 사용하였다. 실수축 적분방법에 의한 그린함수를 이용함으로써 불연속에 대한 정확한 특성을 구하였다.

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Load-carrying capacities and failure modes of scaffold-shoring systems, Part II: An analytical model and its closed-form solution

  • Huang, Y.L.;Kao, Y.G.;Rosowsky, D.V.
    • Structural Engineering and Mechanics
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    • 제10권1호
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    • pp.67-79
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    • 2000
  • Critical loads and load-carrying capacities for steel scaffolds used as shoring systems were compared using computational and experimental methods in Part I of this paper. In that paper, a simple 2-D model was established for use in evaluating the structural behavior of scaffold-shoring systems. This 2-D model was derived using an incremental finite element analysis (FEA) of a typical complete scaffold-shoring system. Although the simplified model is only two-dimensional, it predicts the critical loads and failure modes of the complete system. The objective of this paper is to present a closed-form solution to the 2-D model. To simplify the analysis, a simpler model was first established to replace the 2-D model. Then, a closed-form solution for the critical loads and failure modes based on this simplified model were derived using a bifurcation (eigenvalue) approach to the elastic-buckling problem. In this closed-form equation, the critical loads are shown to be function of the number of stories, material properties, and section properties of the scaffolds. The critical loads and failure modes obtained from the analytical (closed-form) solution were compared with the results from the 2-D model. The comparisons show that the critical loads from the analytical solution (simplified model) closely match the results from the more complex model, and that the predicted failure modes are nearly identical.

Can finite element and closed-form solutions for laterally loaded piles be identical?

  • Sawant, Vishwas A.;Shukla, Sanjay Kumar
    • Structural Engineering and Mechanics
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    • 제43권2호
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    • pp.239-251
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    • 2012
  • The analysis of laterally loaded piles is generally carried out by idealizing the soil mass as Winkler springs, which is a crude approximation; however this approach gives reasonable results for many practical applications. For more precise analysis, the three- dimensional finite element analysis (FEA) is one of the best alternatives. The FEA uses the modulus of elasticity $E_s$ of soil, which can be determined in the laboratory by conducting suitable laboratory tests on undisturbed soil samples. Because of the different concepts and idealizations in these two approaches, the results are expected to vary significantly. In order to investigate this fact in detail, three-dimensional finite element analyses were carried out using different combinations of soil and pile characteristics. The FE results related to the pile deflections are compared with the closed-form solutions in which the modulus of subgrade reaction $k_s$ is evaluated using the well-known $k_s-E_s$ relationship. In view of the observed discrepancy between the FE results and the closed-form solutions, an improved relationship between the modulus of subgrade reaction and the elastic constants is proposed, so that the solutions from the closed-form equations and the FEA can be closer to each other.

Validation of a non-linear hinge model for tensile behavior of UHPFRC using a Finite Element Model

  • Mezquida-Alcaraz, Eduardo J.;Navarro-Gregori, Juan;Lopez, Juan Angel;Serna-Ros, Pedro
    • Computers and Concrete
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    • 제23권1호
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    • pp.11-23
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    • 2019
  • Nowadays, the characterization of Ultra-High Performance Fiber-Reinforced Concrete (UHPFRC) tensile behavior still remains a challenge for researchers. For this purpose, a simplified closed-form non-linear hinge model based on the Third Point Bending Test (ThirdPBT) was developed by the authors. This model has been used as the basis of a simplified inverse analysis methodology to derive the tensile material properties from load-deflection response obtained from ThirdPBT experimental tests. In this paper, a non-linear finite element model (FEM) is presented with the objective of validate the closed-form non-linear hinge model. The state determination of the closed-form model is straightforward, which facilitates further inverse analysis methodologies to derive the tensile properties of UHPFRC. The accuracy of the closed-form non-linear hinge model is validated by a robust non-linear FEM analysis and a set of 15 Third-Point Bending tests with variable depths and a constant slenderness ratio of 4.5. The numerical validation shows excellent results in terms of load-deflection response, bending curvatures and average longitudinal strains when resorting to the discrete crack approach.

최적유도법칙의 closed-form 해와 근사식 (The closed-form solution and its approximation of the optimal guidance law)

  • 탁민제;박봉규;선병찬;황인석;조항주;송택렬
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1992년도 한국자동제어학술회의논문집(국내학술편); KOEX, Seoul; 19-21 Oct. 1992
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    • pp.572-577
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    • 1992
  • In this paper, the optimal homing guidance problem is investigated for the general missile/target models described in the state-space. The closed-form solution of the optimal guidance law derived, and its asymptotic properties are studied as the time-to-go goes to infinity or zero. Futhermore, several approximate solutions of the optimal guidance law are suggested for real-time applications.

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Natural Frequencies of Beams with Step Change in Cross-Section

  • Kim, Yong-Cheul;Nam, Alexander-V.
    • 한국해양공학회지
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    • 제18권2호
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    • pp.46-51
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    • 2004
  • Natural frequencies of the transverse vibration of beams with step change in cross-section are obtained by using the asymptotic closed form solution. This closed form solution is found by using WKB method under the assumption of slowly varying properties, such as mass, cross-section, tension etc., along the beam length. However, this solution is found to be still very accurate even in the case of large variation in cross-section and tension. Therefore, this result can be easily applied to many engineering problems.