• 제목/요약/키워드: triangular

검색결과 2,101건 처리시간 0.03초

3차원 8분할 Delaunay 삼각화 알고리즘 개발 (Development of Delaunay Triangulation Algorithm Using Oct-subdivision in Three Dimensions)

  • 박시형;이성수
    • 한국CDE학회논문집
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    • 제10권3호
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    • pp.168-178
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    • 2005
  • The Delaunay triangular net is primarily characterized by a balance of the whole by improving divided triangular patches into a regular triangle, which closely resembles an equiangular triangle. A triangular net occurring in certain, point-clustered, data is unique and can always create the same triangular net. Due to such unique characteristics, Delaunay triangulation is used in various fields., such as shape reconstruction, solid modeling and volume rendering. There are many algorithms available for Delaunay triangulation but, efficient sequential algorithms are rare. When these grids involve a set of points whose distribution are not well proportioned, the execution speed becomes slower than in a well-proportioned grid. In order to make up for this weakness, the ids are divided into sub-grids when the sets are integrated inside the grid. A method for finding a mate in an incremental construction algorithm is to first search the area with a higher possibility of forming a regular triangular net, while the existing method is to find a set of points inside the grid that includes the circumscribed sphere, increasing the radius of the circumscribed sphere to a certain extent. Therefore, due to its more efficient searching performance, it takes a shorer time to form a triangular net than general incremental algorithms.

삼각망 철근상세를 갖는 새로운 중공 철근콘크리트 교각 (New Hollow RC Bridge Piers with Triangular Reinforcement Details)

  • 김태훈;김호영;이재훈;신현목
    • 한국지진공학회논문집
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    • 제20권1호
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    • pp.21-31
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    • 2016
  • This study investigates the seismic performance of new hollow reinforced concrete (RC) bridge piers with triangular reinforcement details. The developed triangular reinforcement details are economically feasible and rational, and facilitate shorter construction periods. We tested a model of new hollow RC bridge piers with triangular reinforcement details under a constant axial load and a quasi-static, cyclically reversed horizontal load. We used a computer program, Reinforced Concrete Analysis in Higher Evaluation System Technology (RCAHEST), for analysis of RC structures. The used numerical method gives a realistic prediction of seismic performance throughout the loading cycles for several hollow pier specimens investigated. As a result, developed triangular reinforcement details for material quantity reduction was equal to existing reinforcement details in terms of required performance.

LINEAR STABILITY OF TRIANGULAR EQUILIBRIUM POINTS IN THE PHOTOGRAVITATIONAL RESTRICTED THREE BODY PROBLEM WITH TRIAXIAL RIGID BODIES, WITH THE BIGGER ONE AN OBLATE SPHEROID AND SOURCE OF RADIATION

  • KUMAR, AVDHESH;ISHWAR, B.
    • 천문학논총
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    • 제30권2호
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    • pp.297-299
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    • 2015
  • In this paper we have examined the linear stability of triangular equilibrium points in the photogravitational restricted three body problem when both primaries are triaxial rigid bodies, the bigger one an oblate spheroid and source of radiation. The orbits about the Lagrangian equilibrium points are important for scientific investigation. A number of space missions have been completed and some are being proposed by various space agencies. We analyze the periodic motion in the neighbourhood of the Lagrangian equilibrium points as a function of the value of the mass parameter. Periodic orbits of an infinitesimal mass in the vicinity of the equilibrium points are studied analytically and numerically. The linear stability of triangular equilibrium points in the photogravitational restricted three body problem with Poynting-Robertson drag when both primaries are oblate spheroids has been examined by A. Kumar (2007). We have found the equations of motion and triangular equilibrium points for our problem. With the help of the characteristic equation we have discussed stability conditions. Finally, triangular equilibrium points are stable in the linear sense. It is further seen that the triangular points have long or short periodic elliptical orbits in the same range of ${\mu}$.

Theoretical Study of Various Unit Models for Biomedical Application

  • Choi, Jeongho
    • 한국산업융합학회 논문집
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    • 제22권4호
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    • pp.387-394
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    • 2019
  • This paper presents an analytical study on the strength and stiffness of various types of truss structures. The applied models are triangular-like opened truss-wall triangular model (OTT), closed truss-wall triangular model (CTT), opened solid-wall triangular model (OST), and hypercube models defined as core-filled or core-spaced cube. The models are analyzed by numerical model analysis using DEFORM 2D/3D tool with AISI 304 stainless steel. Then, the ideal solutions for stiffness and strength are defined. Finally, the relative elastic modulus of the core-spaced model is obtained as 0.0009, which is correlated with the cancellous bone for the relative density range of 0.029-0.03, and the relative elastic modulus for the core-filled model is obtained as 0.0015, which is correlated with cancellous bone for the relative density range of 0.035-0.036. For the relative compressive yield strength, the OTT reasonably agrees with the cancellous bone for the relative density of 0.042 and the relative compressive strength of 0.05. The CTT and OST are in good agreement at the relative density of 0.013 and the relative compressive yield strength of 0.002. The hypercube models can be used for the cancellous bone for stiffness, and the triangular models can be used for the cancellous bone for strength. However, none of the models can be used to replace the compact bone because it requires much higher stiffness and strength. In the near future, compact bone replacement must be further studied. In addition, previously mentioned models should be developed further.

3차원 판구조물 해석을 위한 삼각형요소와 사각형 요소의 비교에 관한 연구 (A Study on the Comparison of Triangular and Quadrilateral Elements for the Analysis of 3 Dimensional Plate Structures)

  • 왕지석;김유해;이우수
    • Journal of Advanced Marine Engineering and Technology
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    • 제26권3호
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    • pp.344-352
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    • 2002
  • In the analysis of the 3 dimensional plate structures by the finite element method, the triangular elements are generally used for the global stiffness matrix of the analyzed system. But the triangular elements of the plates have some problems in the process of formulation and in the precision of analysis. The formulation of the finite element method to analyze 3 dimensional plate structures using quadrilateral elements is presented in this paper. The degree of freedom off nodal point is 6, that is, the displacements in the direction off-y-z is and the rotations about x-y-z axis and then the degree of freedom off element is 24. For the comparison of the analysis using triangular elements and quadrilateral elements, the rectangular plates subjected to the uniform load and a concentrated load on the centroid of the plate, for which the theoretical solutions have been obtained, are analyzed. The calculated deflections of the rectangular plates using the finite element method by the triangular elements and the quadrilateral elements are also compared with the deflections of the plates calculated by theoretical solutions. The defections of the rectangular plates calculated by the finite element method using the quadrilateral elements are closer to the theoretical solutions than the defections calculated by the finite element method using the triangular elements. The deflection of the centroid of plate, calculated by the finite element method, converges to that of theoretical solution as the number of elements is increased. This convergence is much more rapid for the case of using the quakrilateral elements than fir the case of using triangular elements.

대수주기 다이폴 배열 안테나의 소형화 연구 (A Study on Miniaturization of a Log-Periodic Dipole Array Antenna)

  • 함형준;유홍균;박범준;박영주;이규송;우종명
    • 한국전자파학회논문지
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    • 제25권7호
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    • pp.709-720
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    • 2014
  • 본 논문에서는 VHF 및 UHF 대역에서 사용되는 LPDA(Log-Periodic Dipole Array) 안테나를 소형화 하는 연구를 하였다. LPDA 안테나를 소형화하기 위해, 본 연구에서는 LPDA 안테나의 저주파 대역 방사 소자를 급전 부분의 전류 상쇄 효과가 적은 삼각형 미앤더 구조로 변형시켰다. 삼각형 미앤더 구조는 이등변 삼각형 미앤더 구조와 직각 삼각형 미앤더 구조를 제안하였으며, 두 가지 미앤더 구조를 적용하여 LPDA 안테나를 소형화 하였다. 또한, 소형화된 LPDA 안테나에 대해서 시뮬레이션과 측정 결과를 비교하였다. 그 결과, 이등변 삼각형 미앤더 구조 적용 LPDA 안테나와 직각삼각형 미앤더 구조 적용 LPDA 안테나는 기본형 LPDA 안테나에 비해서 각각 60.5 %, 72.4 %로 소형화되었다. 따라서 제안된 삼각형 미앤더 구조가 LPDA 안테나의 소형화에 적합함을 확인할 수 있었다.

일반화된 삼각퍼지집합에 대한 정규퍼지확률 (Normal fuzzy probability for generalized triangular fuzzy sets)

  • 강철;윤용식
    • 한국지능시스템학회논문지
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    • 제22권2호
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    • pp.212-217
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    • 2012
  • 확률공간 (${\Omega}$, $\mathfrak{F}$, $P$) 위에 정의된 퍼지집합을 퍼지이벤트라 한다. Zadeh는 확률 $P$를 이용하여 퍼지이벤트 $A$에 대한 확률을 정의하였다. 우리는 일반화된 삼각퍼지집합을 정의하고 거기에 확장된 대수적 작용소를 적용하였다. 일반화된 삼각퍼지집합은 대칭적이지만 함숫값으로 1을 갖지 않을 수 있다. 두 개의 일반화된 삼각퍼지집합 $A$$B$에 대하여 $A(+)B$$A(-)B$는 일반화된 사다리꼴퍼지집합이 되었지만, $A({\cdot})B$$A(/)B$는 일반화된 삼각퍼지집합도 되지 않았고 일반화된 사다리꼴퍼지집합도 되지 않았다. 그리고 정규분포를 이용하여 $\mathbb{R}$위에서 정규퍼지확률을 정의하였다. 그리고 일반화된 삼각퍼지집합에 대한 정규퍼지확률을 계산하였다.

디젤엔진 배기 가스 유량 측정용 삼각 분리 막대형 차압유량계 유량 특성 연구 (A Study on Flow Characteristics of a Separate Triangular Bar Differential Pressure Flow Meter for Measuring Exhaust Flow Rate of Diesel Engine)

  • 이충훈;김광일;김민창;박동선
    • 한국철도학회논문집
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    • 제10권5호
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    • pp.563-568
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    • 2007
  • 디젤 엔진의 배기가스 유량을 측정하기 삼각 분리 막대형 차압유량계를 개발하였다. 3 종류의 삼각 막대형 차압유량계를 제작하였고 실험 평가하였다. 삼각 막대형 외부형상이 유선형에 가까울수록 차압유량계에서의 상류부 와 하류부의 차압이 감소하는 경향을 나타내었다. 삼각막대형 차압유량계를 사용하여 고온 및 상온 조건에서 유량 검정을 하였다. 고온 조건에서의 유량계 검정을 위해 버너를 제작하였다. 삼각막대형 상류부 및 하류부 간의 차압과 질량 유량의 실험식을 구했다. 또한 실험식은 기체 온도에 의한 보정을 포함하고 있다.

Near-elliptic Core Triangular-lattice and Square-lattice PCFs: A Comparison of Birefringence, Cut-off and GVD Characteristics Towards Fiber Device Application

  • Maji, Partha Sona;Chaudhuri, Partha Roy
    • Journal of the Optical Society of Korea
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    • 제18권3호
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    • pp.207-216
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    • 2014
  • In this work, we report detailed numerical analysis of the near-elliptic core index-guiding triangular-lattice and square-lattice photonic crystal fiber (PCFs); where we numerically characterize the birefringence, single mode, cut-off behavior and group velocity dispersion and effective area properties. By varying geometry and examining the modal field profile we find that for the same relative values of $d/{\Lambda}$, triangular-lattice PCFs show higher birefringence whereas the square-lattice PCFs show a wider range of single-mode operation. Square-lattice PCF was found to be endlessly single-mode for higher air-filling fraction ($d/{\Lambda}$). Dispersion comparison between the two structures reveal that we need smaller lengths of triangular-lattice PCF for dispersion compensation whereas PCFs with square-lattice with nearer relative dispersion slope (RDS) can better compensate the broadband dispersion. Square-lattice PCFs show zero dispersion wavelength (ZDW) red-shifted, making it preferable for mid-IR supercontinuum generation (SCG) with highly non-linear chalcogenide material. Square-lattice PCFs show higher dispersion slope that leads to compression of the broadband, thus accumulating more power in the pulse. On the other hand, triangular-lattice PCF with flat dispersion profile can generate broader SCG. Square-lattice PCF with low Group Velocity Dispersion (GVD) at the anomalous dispersion corresponds to higher dispersion length ($L_D$) and higher degree of solitonic interaction. The effective area of square-lattice PCF is always greater than its triangular-lattice counterpart making it better suited for high power applications. We have also performed a comparison of the dispersion properties of between the symmetric-core and asymmetric-core triangular-lattice PCF. While we need smaller length of symmetric-core PCF for dispersion compensation, broadband dispersion compensation can be performed with asymmetric-core PCF. Mid-Infrared (IR) SCG can be better performed with asymmetric core PCF with compressed and high power pulse, while wider range of SCG can be performed with symmetric core PCF. Thus, this study will be extremely useful for designing/realizing fiber towards a custom application around these characteristics.