• Title/Summary/Keyword: bifurcation point

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A Study on the Stability Problems of the Latticed Domes (래티스돔의 안정문제에 관한 연구)

  • 한상을
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1996.04a
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    • pp.9-18
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    • 1996
  • The primary objective of this paper is to grasp many characteristics of buckling behavior of latticed spherical domes under various conditions. The Arc-Length Method proposed by E.Riks is used for the computation and evaluation of geometrically nonlinear fundamental equilibrium paths and bifurcation points. And the direction of the path after the bifurcation point is decided by means of Hosono's concept. Three different nonlinear stiffness matrices of the Slope-Deflection Method are derived for the system with rigid nodes and results of the numerical analysis are examined in regard in geometrical parameters such as slenderness ratio, half-open angle, boundary conditions, and various loading types. But in case of analytical model 2 (rigid node), the post-buckling path could not be surveyed because of Newton-Raphson iteration process being diversed on the critical point since many eigenvalues become zero simultaneously.

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Improved Direct Method for Calculating the Closest Voltage Collapse Point and Voltage Stability Enhancement by Generation Redispatch (최단 전압붕괴점 계산을 위한 개선된 직접법과 재급전에 의한 전압안정도 향상)

  • Nam, Hae-Kon;Song, Chung-Gi;Kim, Dong-Jun
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.8
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    • pp.958-964
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    • 1999
  • The distance in load parameter space to the closest saddle node bifurcation (CSNB) point provides the worst case power margin to voltage instability and the left eigenvector at CSNB identifies the most effective direction to steer the system to maximize voltage stability under contingency. This paper presents an improved direct method for computing CSNB: the order of nonlinear systems equations is reduced to about twice of the size of load flow equations in contrast to about three-times in Dobson's direct method; the initial guess for the direct method is computed efficiently and robustly by combined use of continuation power flow, a pair of multiple load flow solution with Lagrange interpolation. It is also shown that voltage stability may be enhanced significantly with shift of generations in the direction of the left eigenvector at CSNB.

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A Study on the Stability Boundaries for Single Layer Latticed Domes and Arch under Combined Loads (조합하중를 받는 단층 래티스 돔과 아치의 안정경계에 관한 연구)

  • Han, Sang-Eul;Lee, Sang-Ju;Lee, Kap-Su
    • Journal of Korean Association for Spatial Structures
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    • v.4 no.3 s.13
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    • pp.103-109
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    • 2004
  • The lowest load when the equilibrium condition becomes to be unstable is defined as the buckling load. The primary objective of this paper is to be analyse stability boundaries for star dome under combined loads and is to investigate the iteration diagram under the independent loading parameter. In numerical procedure of the geometrically nonlinear problems, Arc Length Method and Newton-Raphson iteration method is used to find accurate critical point(bifurcation point and limit point). In this paper independent loading vector is combined as proportional value and star dome was used as numerical analysis model to find stability boundary among load parameters and many other models as multi-star dome and arch were studied. Through this study we can find the type of buckling mode and the value of buckling load.

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Fingerprint Recognition using Connected Ridge Information between Minutiae on the Same Ridger (동일 융성 상에 존재하는 특징점 간의 연결정보를 이용한 지문인식)

  • Kim, Hyoun-Chul;Shim, Jae-Chang
    • Journal of KIISE:Software and Applications
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    • v.28 no.10
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    • pp.764-772
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    • 2001
  • This paper describes fingerprint matching algorithm using connected information between minutiae. We regard minutiae as ridge bifurcation and ridge ending. Features are composed of minutia's position, type(ridge bifurcation or ridge ending) ridge direction and connected ridge information. While the minutiae are extracted, we store connected in information between minutiae on the same ridge. They are used to find corresponding point pairs. Minutiae are aligned completely by two corresponding point pairs and point pattern matching is achieved by counting the number of overlapping pairs. It is invariable t translation and rotation. We have tested proposed method on the 445 fingerprints from 89 persons. These experimental results show that proposed algorithm improve 33% in speed.

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Characteristics of Buckling Load and Bifurcation in Accordance with Rise-span Ratio of Space Truss Considering Initial Imperfection (초기 불완전성을 고려한 공간 트러스의 분기좌굴과 라이즈-스팬 비에 따른 임계하중 특성)

  • Lee, Seung-Jae;Shon, Su-Deok
    • Journal of Korean Society of Steel Construction
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    • v.24 no.3
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    • pp.337-348
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    • 2012
  • This study investigated the characteristics of bifurcation and the instability due to the initial imperfection of the space truss, which is sensitive to the initial conditions, and the calculated buckling load by the analysis of Eigen-values and the determinant of tangential stiffness. A two-free nodes model, a star dome, and a three-ring dome model were selected as case studies in order to examine the unstable phenomenon due to the sensitivity to Eigen mode, and the influence of the rise-span ratio and the load parameter on the buckling load were analyzed. The sensitivity to the imperfection of the two-free nodes model changed the critical path after reaching the limit point through the bifurcation mode, and the buckling load level was reduced by the increase in the amount of imperfection. The two sensitive buckling patterns for the model can be explained by investigating the displaced position of the free node, and the asymmetric Eigen mode was a major influence on the unstable behavior due to the initial imperfection. The sensitive mode was similar to the in-extensional mechanism basis of the simplified model. Since the rise-span ratio was higher, the effect of local buckling is more prominent than the global buckling in the star dome, and bifurcation on the equilibrium path occurring as the value of the load parameter was higher. Additionally, the buckling load levels of the star dome and the three-ring model were about 50-70% and 80-90% of the limit point, respectively.

Blood Flow Characteristics in the Abdominal Aortic Bifurcation with Stenosis (협착이 발생된 복부대동맥 분기부에서의 혈액운동특성)

  • Yoo, S.S.;Suh, S.H.;Roh, H.W.;Jo, M.T.
    • Proceedings of the KOSOMBE Conference
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    • v.1995 no.05
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    • pp.109-112
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    • 1995
  • The three dimensional, steady flows of blood and blood analogue fluids in the abdominal aortic bifurcation are simulated using the finite volume method. The objective of this investigation is to understand the generation and progression of site-specific atherosclerosis from a hydrodynamic point of view. Due to complexity of blood in conducting experimental study, aqueous polymer solutions are used as the substitutional fluids. For comparison purpose of the flow characteristics of blood and substitutional fluids, rheologically different fluids such as water soluble polymers of Carbopol-934 and Separan AP-273 are employed for the numerical simulation. In order to understand the role of hydrodynamics in the formation and development of atherosclerosis lesions flow velocities, pressures and shear stresses along the vessel are calculated for steady flows.

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A BIFURCATION PROBLEM FOR THE BIHARMONIC OPERATOR

  • Jung, Tacksun;Choi, Q-Heung
    • Korean Journal of Mathematics
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    • v.20 no.2
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    • pp.263-271
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    • 2012
  • We investigate the number of the solutions for the biharmonic boundary value problem with a variable coefficient nonlinear term. We get a theorem which shows the existence of $m$ weak solutions for the biharmonic problem with variable coefficient. We obtain this result by using the critical point theory induced from the invariant function and invariant linear subspace.

Chaotic Response and Stability Analysis for Multi-input Nonlinear Systems (다주파수 입력을 갖는 비선형 시스템의 안정성 및 Chaos 해석)

  • 김영배
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.1
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    • pp.123-131
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    • 1995
  • 다주파수 입력을 갖는 강한 비선형 시스템의 유사주기 (quasi-periodic) 해를 해석하기 위하여 개선된 고정 점법(FPA:Fixed Point Alogrithm)을 개발하였다. 안정성 및 천이 특성을 판별하기 위하여 사용되어지는 Floquest 지수인 해석적 자코비언을 구하기 위하여 Poincare 맵상에서 이산 적분법을 새로이 고안, 사용하였다. 본 방법의 우수성을 입증하기 위하여 2개의 주파수 입력을 갖는 선형 시스템과 비선형 시스템을 예로 사용하였다. 본 방법을 이용하여 비선형 시스템에서 발생한 복잡한 chaos 현상을 체계적으로 해석하였다.

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Thinning image restoration using ending and bifurcation point (단점과 분기점을 이용한 세선화 영상 복원)

  • Kim, Kang;Lee, Keon-Ik
    • Proceedings of the Korean Society of Computer Information Conference
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    • 2010.07a
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    • pp.217-220
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    • 2010
  • 본 논문에서는 단점과 분기점을 이용한 세선화 영상 복원에 관하여 연구하였다. 이진 지문영상으로부터 평활화, 이진화, 세선화 과정을 거쳐서 세선화 영상을 얻는다. 세선화 영상으로부터 특징점을 추출하는 방법에는 교차수를 이용한 방법이 있다. 그러나 교차수를 이용한 방법에서는 많은 의사 특징점들이 추출된다. 의사특징점으로는 단선, 절선, 잔가지, 원형 등이 있으며, 단점과 분기점을 이용하여 의사특징점을 제거함으로써 세선화 영상을 복원하였다.

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A Brachial Artery Pseudoaneurysm Treated with a Bifurcated Y-Shaped Artificial Vessel Graft

  • Joon seok Oh;Seokchan Eun
    • Archives of Plastic Surgery
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    • v.49 no.6
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    • pp.755-759
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    • 2022
  • Brachial artery aneurysms are rare diseases that may be caused by infection or trauma. We report a case of a 71-year-old man who presented with a mass in his right antecubital fossa that increased in size slowly over time. Three years ago, the patient underwent ascending and total-arch replacement with artificial vessel graft to treat aortic root and ascending aorta aneurysm. Preoperative physical examination of right upper extremity showed a nonpulsatile mass with normal pulse of axillary, brachial, and radial arteries. The mass was removed and brachial artery reconstruction was done initially using saphenous vein graft. Two months later, the patient revisited with recurrent pseudoaneurysm, involving the bifurcation point of brachial artery. Aneurysm was totally resected and the brachial artery was reconstructed by interposition graft using a bifurcated GORE-TEX artificial vessel graft. The patient healed without complication and no recurrence was observed. Artificial vessel graft is an available option for reconstruction, and revascularization of vessel defect after excision of brachial artery aneurysm may involve bifurcation point.