• 제목/요약/키워드: bifurcation analysis

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Morphological and Hemodynamic Parameters for Middle Cerebral Artery Bifurcation Aneurysm Rupture Risk Assessment

  • Qin, Hao;Yang, Qixia;Zhuang, Qiang;Long, Jianwu;Yang, Fan;Zhang, Hongqi
    • Journal of Korean Neurosurgical Society
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    • 제60권5호
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    • pp.504-510
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    • 2017
  • Objective : To investigate the morphological and hemodynamic parameters associated with middle cerebral artery (MCA) bifurcation aneurysm rupture. Methods : A retrospective study of 67 consecutive patients was carried out based on 3D digital subtraction angiography data. Morphological and hemodynamic parameters including aneurysm size parameters (dome width, height, and perpendicular height), longest dimension from the aneurysm neck to the dome tip, neck width, aneurysm area, aspect ratio, Longest dimension from the aneurysm neck to the dome tip (Dmax) to dome width, and height-width, Bottleneck factor, as well as wall shear stress (WSS), low WSS area (LSA), percentage of LSA (LSA%) and energy loss (EL) were estimated. Parameters between ruptured and un-ruptured groups were analyzed. Receiver operating characteristics were generated to check prediction performance of all significant variables. Results : Sixty-seven patients with MCA bifurcation aneurysm were included (31 unruptured, 36 ruptured). Dmax (p=0.008) was greater in ruptured group than that in un-ruptured group. D/W (p<0.001) and the percentage of the low WSS area ($0.09{\pm}0.13$ vs. $0.01{\pm}0.03$, p<0.001) were also greater in the ruptured group. Moreover, the EL in ruptured group was higher than that in unruptured group ($6.39{\pm}5.04$ vs. $1.53{\pm}0.86$, p<0.001). Multivariate regression analysis suggested D/W and EL were significant predictors of rupture of MCA bifurcation aneurysms. Correlation analyses revealed the D/W value was positively associated with the EL (R=0.442, p<0.01). Conclusion : D/W and EL might be the most two favorable factors to predict rupture risk of MCA bifurcation aneurysms.

단층 래티스돔의 안정해석기법 및 좌굴특성에 관한 연구 (A Study on the Analytical Technique of Stability and Buckling Characteristics of the Single Layer Latticed Domes)

  • 한상을
    • 전산구조공학
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    • 제9권3호
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    • pp.209-216
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    • 1996
  • 본 논문의 목적은 단층래티스 돔의 안정해석 기법을 제안하고, 다양한 조건하에서 단층 래티스 돔이 갖는 좌굴특성을 규명하는데 있다. 기하학적 비선형 평형경로의 탐색 및 좌굴점 그리고 분기경로의 방향 등을 수직적으로 계산하기 위하여 호장법(Arc-Length Method)을 이용하였으며, 부재의 좌굴가능성을 판단하기 위하여 에너지밀도함수를 제안하였다. 강절점을 갖는 구조물의 거동 특성을 규명하기 위하여 3종류의 비선형 강성행렬을 유도하여 해석하였으며, semi-rigid절점을 갖는 구조물을 해석하기 위하여 스프링모델을 제안하고, 부재의 세장비, 반개각, 경계조건 및 다양한 하중조건을 파라메터로하여 좌굴특성을 규명하였다.

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구성방정식에 따른 고무 분기점 거동 비교 연구 (Comparative Study of Bifurcation Behavior of Rubber in Accordance with the Constitutive Equations)

  • 박문식;송승
    • 대한기계학회논문집A
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    • 제34권6호
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    • pp.731-742
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    • 2010
  • 설계 또는 해석을 위해 고무를 모델링할 때, 쓸 수 있는 구성방정식이 너무 많음으로 말미암아 종종 당황하거나 수수께끼 같은 일을 경험할 때가 있다. 어떤 모델들은 몇 개의 재료상수만을 갖지만 또 다른 모델들은 많은 수의 재료상수를 갖는다. 연구자들은 광범위한 실험데이터를 준비하여 신중하게 피팅을 하여야 한다. 본 논문에서는 먼저 8배 정도까지 큰 신장 영역에 대해 대표적인 고무재료의 구성방정식들을 비교해 보았다. 대부분의 공학적 응용에서처럼 상대적으로 변형이 적은 경우에는 연속체기반모델 또는 체인분자모델이 유사하게 쓰일 수 있지만, 대부분 생체적 거동에서 볼 수 있는 큰 변형의 경우에는 체인분자모델들이 더 유용함을 알 수 있었다. 구성방정식에 따른 분기점의 존재 여부를 알아보기 위하여 트렐로어 패치와 원통형 막대풍선에 대한 분기점 해석을 이론적 및 수치적으로 수행하였다. 키슬리의 조건식으로부터 트렐로어 패치에서의 분기점은 연속체기반 모델에서는 존재하였으나 체인분자모델에서는 존재하지 않음을 보였다. 원통형 막대풍선은 축신장 허용의 경계조건에 대해서는 모든 모델들이 분기점 거동을 보여주었다. 따라서 고무의 분기점 거동을 구하고자 할 때는 분기점의 존재유무 자체가 재료모델의 선정에 의존적이라 할 수 있다.

원형컵 디프드로잉에서의 주름발생 해석 (Analysis of Wrinkling INitiation and Growth in Cylindrical Cup Deep Drawing Process)

  • 양동열
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1999년도 추계학술대회논문집
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    • pp.18-21
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    • 1999
  • The wrinkling of thin sheet metal induced by compressive instability is one of major defects in sheet metal forming processes. compressive instability is influence by many factors such as mechanical properties of the sheet material geometry of the sheet contact conditions and plastic anisotropy. The analysis of compressive instability in a plastically deforming body is rather difficult because the effects of the above-mentioned factors are rather complex and the instability behavior may show swide variations even for small deviations of the factors. in this work the bifurcation theory is introduced for the finite elemental analysis of the instability behavior of a thin sheet with initially sound geometry and property. All the above-mentioned factors are conveniently considered by the finite element method. The instability limit is found by introducing a criterion scheme into the incremental analysis and the post-bifurcation behavior is analyzed by introducing the branching scheme. Wrinkling initiation and growth in the deep drawing process are analyzed.

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분기좌굴이론을 이용한 박판성형공정에서의 주름발생해석 (An analysis of the wrinkling initiation in sheet metal forming using bifurcation theory)

  • 김종봉;양동렬;윤정환
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1998년도 춘계학술대회논문집
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    • pp.28-31
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    • 1998
  • Wrinkling is one of the major defects in sheet metal products and may be also attributable to the wear of the tool. The initiation and growth of the wrinkles are influenced by many factors such as stress state, mechanical properites of the sheet material, geometry of the body, and contact condition. It is difficult to analyze the wrinkling initiation and growth considering the factors because the effects of the factors are very complex and the wrinkling behavior may show wide variation for small deviation of the factors. In this study, the bifurcation theory is introduced for the finite element analysis of wrinkling initiation and growth, All the above mentioned factors are conveniently considered by finite element method. The finite element formulation is based on the incremental deformation theory and elastic-plastic material modeling. The finite element analysis is carried out using the continuum-based resultant shell elements considering the planar anisotropy of the sheet metal. The proposed method is verified by employing to column buckling problem. And then, the initiation and growth of wrinkling in deep drawing of cylindrical cup are analyzed.

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철도차량의 비선형 안정성에 영향을 미치는 인자 연구 (A Study on the Factors Influencing the Non-Linear Stability of Railway Vehicles)

  • 정우진;신정렬
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집B
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    • pp.513-518
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    • 2001
  • This research has been performed to estimate the hunting motion hysteresis of railway passenger cars. An old and a new car with almost same structure are chosen as analysis models. To solve effectively a set of simultaneous equations of motion strongly coupled with creep relations, shooting algorithm in which the nonlinear relations are regarded as a two-point boundary value problem is adopted. The bifurcation theory is applied to the dynamic analysis to distinguish differences between linear and nonlinear critical speeds by variation of parameters. It is found that there are some factors and their operation area to make nonlinear critical speed respond to them more sensitivity than linear critical speed. Full-scale roller rig tests are carried out for the validation of the numerical results. Finally, it is concluded that the wear of wheel profile and the stiffness discontinuities of wheelset suspension caused by deterioration have to be considered in the analysis to predict hysteresis of critical speed precisely.

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Topological Analysis of Chaos Characteristics in a Power System

  • Li, Shan-Ying;Lee, Sang-Seung;Park, Jong-Keun
    • KIEE International Transactions on Power Engineering
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    • 제4A권1호
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    • pp.18-25
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    • 2004
  • This paper proposes a totally new method in the chaos characteristics' analysis of power systems, the introduction of topological invariants. Using a return histogram, a bifurcation graph was drawn. As well, the periodic orbits and topological invariants - the local crossing number, relative rotation rates, and linking number during the process of period-doubling bifurcation and chaos were extracted. This study also examined the effect on the topological invariants when the sensitive parameters were varied. In addition, the topological invariants of a three-dimensional embedding of a strange attractor were extracted and the result was compared with those obtained from differential equations. This could be a new approach to state detection and fault diagnosis in dynamical systems.

이방성 판재의 주름 발생 해석 (Analysis of wrinkling formation of anisotropic sheet metal)

  • 손영진;박기철;김영석
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1998년도 춘계학술대회논문집
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    • pp.21-27
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    • 1998
  • An analysis for the prediction of wrinkling formation in curved sheets during metal froming is presented. We construct "Wrinkling Limit diagram"(WLD) which represent the combinations of the critical principal stresses for wrinkling formation in curved sheet elements subjected to biaxial plane stress. Here the scheme of plastic bifurcation theory for thin shells based on the Donnell-Mushtari-Vlasov shell theory is used. In this study, the effects of the material variables (yield stress, plastic hardening coefficient, plastic anisotropic parameter, and so on) and sheet geometry on the critical conditions for wrinkling is carried out numerically.merically.

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얇은 보 구조물의 횡좌굴에 대한 total lagrangian 유한요소해석 (Total Lagrangian Finite Element Analysis of Lateral Buckling for Thin Beam Structures)

  • 정동원
    • 한국해양공학회지
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    • 제11권4호
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    • pp.7-22
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    • 1997
  • A finite element analysis is performed for lateral buckling problems on the basis of a geometrically nonlinear formulation for a beam with small elastic strain but with possibly large rotations. The total Lagrangian formulation for a general large deformation, which involves finite rotations, is chosen and the exponential map is used to treat finite rotations from the Eulerian point of view. For lateral buckling, the point of vanishing determinant of the resulting unsymmetric tangent stiffness is traced to examine its relationship to bifurcation points. It is found that the points of vanishing determinant is not corresponding to bifurcation points for large deformations in general, which suggests that the present unsymmetric tangent stiffness is not an exact first derivative of internal forces with respect to displacement. This is illustrated through several numerical examples and followed by appropriate discussion.

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