• 제목/요약/키워드: Numerical instability

검색결과 726건 처리시간 0.027초

Nail Head 형상을 가지는 레이저 용접 단면부의 잔류응력 분포 특성에 관한 연구 (A Study on the Distribution of Welding Residual Stresses in Laser Welds with the Nail-head Shape)

  • 방한서;김영표;주성민;권영섭
    • 한국해양공학회:학술대회논문집
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    • 한국해양공학회 2003년도 춘계학술대회 논문집
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    • pp.269-273
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    • 2003
  • During the laser welding, weldments are suddenly heated by laser beam and cooled. This phenomenon gives occasion to complex welding residual stresses, which have a great influence on structural instability strength, in laser welds. However, a relevant research on this field is not sufficient until present and residual stress measurements have experimental and practical limitations. For these reasons a numerical simulation may be attractive in order to solve the residual stress problem. In order to determine the distribution of heat and welding residual stresses in laser welds with the nail-head shape, authors conduct the finite element analysis (two-dimensional unstationary heat conduction & thermal elasto-plastic analysis). From the result of this study, we can confirm the stress concentration is occurred at the place of melting line shape changed in laser welds with the nail-head shape.

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DAE 해법과 PPTA(Partial Periodic Trimming Algorithm)를 이용한 헬리콥터 트림해석 및 비행 시뮬레이션 (Helicopter Trim Analysis and Flight Simulation by Uising DAE Based PPTA (Partial Periodic Trimming Algorithm))

  • 김창주
    • 한국항공우주학회지
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    • 제31권1호
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    • pp.42-48
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    • 2003
  • Lever II 헬리콥터 비행운동 방정식으로부터 주기성 트림해를 구하기 위해 DAE 해법에 근거한 PPTA(Partial Periodic Trimming Algorithm)를 제안하였다. PPTA의 반복계산으로 수정된 상태변수는 적합한 초기조건이 요구되는 DAE해법에서 수치불안정을 일으킬 수 있다. 간단하게 DAE 차수를 조절함으로써 정확한 주기성 트림을 얻을 수 있었다. 수치해법을 CBM(Common Baseline Model) 헬리콥터에 적용하여 harmonic balance 방법과 동일한 트림해를 얻었으며 시뮬레이션 초기의 과도응답을 효과적으로 제거할 수 있음을 밝혔다.

Riprap Weir 효과 분석을 위한 2차원 수치해석 모형의 적용 (Application of 2 Dimensional Numerical Model for Analysis of Riprap Weir Effect)

  • 김상호
    • 한국산학기술학회논문지
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    • 제16권2호
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    • pp.1441-1449
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    • 2015
  • 하천 만곡부에서는 높은 에너지의 편향적 흐름으로 인하여 제방침식 및 유사이송으로 하도변동을 야기하고 있는데 이러한 현상들은 제방의 불안정을 초래하고 인접 도로와 토지, 하천변 구조물에 심각한 문제를 야기할 수 있다. 본 연구에서는 제방 침식과 하도변동을 방지할 수 있는 Riprap Weir를 S자 만곡수로에 설치하고, 만곡부에서의 수리학적 흐름특성을 분석하고자 한다. 이를 위해 이차원 CCHE2D 모형을 이용하여 실험하도를 구축하고 Riprap Weir의 유무에 따른 수리특성분석을 실시하였다. 이를 통해 Riprap Weir의 설치간격에 따른 만곡부 내측과 외측에서의 수리특성과 보 인근의 흐름특성을 분석하였다.

Film Boiling Heat Transfer from Relatively Large Diameter Downward-facing Hemispheres

  • Kim Chan Soo;Suh Kune Y.;Park Goon Cherl;Lee Un Chul;Yoon Ho Jun
    • Nuclear Engineering and Technology
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    • 제35권4호
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    • pp.274-285
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    • 2003
  • Film boiling heat transfer coefficients for a downward-facing hemispherical surface are measured from the quenching tests in DELTA (Downward-boiling Experimental Loop for Transient Analysis). Two test sections are made of copper to maintain Bi below 0.1. The outer diameters of the hemispheres are 120 mm and 294 mm, respectively. The thickness of both the test sections is 30 mm. The effect of diameter on film boiling heat transfer is quantified utilizing results obtained from the two test sections. The measured heat transfer coefficients for the test section with diameter 120 mm lie within the bounding values from the laminar film boiling analysis, while those for diameter 294 mm are found to be greater than the numerical results on account of the Helmholtz instability. There is little difference observed between the film boiling heat transfer coefficients measured from the two test sections. In addition, the higher thermal conductivity of copper results in the higher minimum heat flux in the tests. For the test section of diameter 120 mm, the Leidenfrost point is lower than that for the test section of diameter 294 mm. Destabilization of film boiling propagates radially inward for the 294 mm test section versus radially outward for the 120 mm Test Section.

원형 단면을 가진 축대칭형 토카막 핵융합로의 최적운전을 위한 이상적 자기유체역학 안전성을 유지하는 베타값의 최대한계 (Ideal MHD Beta Limit for Optimum Stable Operation of Axisymmetric Tokamak Reactor with a Circular Cross Section)

  • Lee, Hyoung-Koo;Hong, Sang-Hee
    • Nuclear Engineering and Technology
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    • 제21권1호
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    • pp.32-39
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    • 1989
  • 원형 단면을 가진 축대칭형 토카막 핵융합로에 적합할 수 있는 최적의 이상적 자기유체역학 베타값과 운전조건의 결정 방법을 제시하였다. 토로이달 전류밀도 분포로 조정되는 운전조건을 변화시키면서 이상적 자기유체역학 안정성을 유지시킬 수 있는 베타값의 한계를 계산하였다. 토로이달 전류밀도 분포에는 실험적 관찰들로부터 얻은 실험식들이 사용되었고, 베타 값의 한계를 결정하기 위해 필요로 여러 식들이 이 실험식들로부터 유도되었다. 토로이달 전류밀도의 각각 다른 분포에 대해서 다양한 베타 한계값 분포들이 얻어졌다. 이상적 자기 유체 역학 불안정성들에 의해 제안받는 최대의 베타값을 토카막의 기하학적 변수와 안전인자에 의한 scaling law로 표현하였다.

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짝(Pair) 형태의 경사 공급구를 갖는 하이브리드 저널 베어링의 로터 동특성에 관한 수치해석 (A Numerical Analysis on the Rotordynamic Characteristics of a Hybrid Journal Bearing with Pair-Type Angled Injection Orifices)

  • 김창호;이용복
    • Tribology and Lubricants
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    • 제13권3호
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    • pp.63-72
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    • 1997
  • The stability of a rotor-bearing system supported by swirl-controlled hybrid journal bearing with pair-type angled injection orifices is investigated for improvement of the whirl frequency ratio by allowing effective control of the tangential flow inside the bearing clearance, i.e., by achieving more freedom in controlling strength and direction of the supply tangential flow inside the bearing clearance. It is suggested that the system instability can be improved through the change of bearing dynamic characteristic parameters with the swirl control. The orifice diameter $d_0$ and recess injection angle $\alpha$ along with combinations of swirl/anti-swirl supply pressures and directions (3.0~3.0 MPa, 4.0~2.0 MPa, 2.0~4.0 MPa) are selected for design parameters for swirl-controlled effective factors dependent on journal speeds (3000, 9000, 15000, 21000 rpm). It has been found that the orifice diameter $d_0$ shows strong effects on effective maneuverability of direct-stiffness and direct damping values, while recess injection angle $\alpha$ results in substantial effects on the magnitude and direction of cross-stiffness. Specifically, recess injection parameters which are functions of angle of orifice feeding flow and recess dimensions showed very feasible effect on the stability control of swirl-controlled rotor-bearing system.

끝단질량과 크랙을 가진 유체유동 회전 외팔 파이프의 동적 안정성 (Dynamic Stability of Rotating Cantilever Pipe Conveying Fluid with Tip mass and Crack)

  • 손인수;윤한익;김동진
    • 한국소음진동공학회논문집
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    • 제18권1호
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    • pp.101-109
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    • 2008
  • The stability of a rotating cantilever pipe conveying fluid with a crack and tip mass is investigated by the numerical method. That is, the effects of the rotating angular velocity, mass ratio, crack severity and tip mass on the critical flow velocity for flutter instability of system are studied. The equations of motion of rotating pipe are derived by using the Euler-Bernoulli beam theory and the extended Hamilton's principle. The crack section of pipe is represented by a local flexibility matrix connecting two undamaged pipe segments. Also, the crack is assumed to be in the first mode of fracture and always opened during the vibrations. When the tip mass and crack are constant, the critical flow velocity for flutter is proportional to the rotating angular velocity of pipe. In addition, the stability maps of the rotating pipe system as a rotating angular velocity and mass ratio ${\beta}$ are presented.

Flutter Analysis of Multiple Blade Rows Vibrating Under Aerodynamic Coupling

  • Kubo, Ayumi;Namba, Masanobu
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2008년 영문 학술대회
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    • pp.6-15
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    • 2008
  • This paper deals with the aeroelastic instability of vibrating multiple blade rows under aerodynamic coupling with each other. A model composed of three blade rows, e.g., rotor-stator-rotor, where blades of the two rotor cascades are simultaneously vibrating, is considered. The displacement of a blade vibrating under aerodynamic force is expanded in a modal series with the natural mode shape functions, and the modal amplitudes are treated as the generalized coordinates. The generalized mass matrix and the generalized stiffness matrix are formulated on the basis of the finite element concept. The generalized aerodynamic force on a vibrating blade consists of the component induced by the motion of the blade itself and those induced not only by vibrations of other blades of the same cascade but also vibrations of blades in another cascade. To evaluate the aerodynamic forces, the unsteady lifting surface theory for the model of three blade rows is applied. The so-called k method is applied to determine the critical flutter conditions. A numerical study has been conducted. The flutter boundaries are compared with those for a single blade row. It is shown that the effect of the aerodynamic blade row coupling substantially modifies the critical flutter conditions.

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Prediction of bridge flutter under a crosswind flow

  • Vu, Tan-Van;Lee, Ho-Yeop;Choi, Byung-Ho;Lee, Hak-Eun
    • Wind and Structures
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    • 제17권3호
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    • pp.275-298
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    • 2013
  • This paper presents a number of approximated analytical formulations for the flutter analysis of long-span bridges using the so-called uncoupled flutter derivatives. The formulae have been developed from the simplified framework of a bimodal coupled flutter problem. As a result, the proposed method represents an extension of Selberg's empirical formula to generic bridge sections, which may be prone to one of the aeroelastic instability such as coupled-mode or single-mode (either dominated by torsion or heaving mode) flutter. Two approximated expressions for the flutter derivatives are required so that only the experimental flutter derivatives of ($H_1^*$, $A_2^*$) are measured to calculate the onset flutter. Based on asymptotic expansions of the flutter derivatives, a further simplified formula was derived to predict the critical wind speed of the cross section, which is prone to the coupled-mode flutter at large reduced wind speeds. The numerical results produced by the proposed formulas have been compared with results obtained by complex eigenvalue analysis and available approximated methods show that they seem to give satisfactory results for a wide range of study cases. Thus, these formulas can be used in the assessment of bridge flutter performance at the preliminary design stage.

Flutter performance of box girders with different wind fairings at large angles of attack

  • Tang, Haojun;Zhang, Hang;Mo, Wei;Li, Yongle
    • Wind and Structures
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    • 제32권5호
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    • pp.509-520
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    • 2021
  • The streamlined box is a common type of girders for long-span suspension bridges. Spanning deep canyons, long-span bridges are frequently attacked by strong winds with large angles of attack. In this situation, the flow field around the streamlined box changes significantly, leading to reduction of the flutter performance. The wind fairings have different effects on the flutter performance. Therefore, this study examines the flutter performance of box girders with different wind fairings at large angles of attack. Computational fluid dynamics (CFD) simulations were carried out to extract the flutter derivatives, and the critical flutter state of a long-span bridge was determined. Further comparisons of the wind fairings were investigated by a rapid method which is related to the input energy by the aerodynamic force. The results show that a reasonable type of wind fairings could improve the flutter performance of long-span bridges at large angles of attack. For the torsional flutter instability, the wind fairings weaken the adverse effect of the vortex attaching to the girder, and a sharper one could achieve a better result. According to the input energies on the girder with different wind fairings, the symmetrical wind fairings are more beneficial to the flutter performance