• 제목/요약/키워드: 비선형 수치해석

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Development of Extended Boussinesq Equations over an Arbitrary Bottom Topography (임의의 수심 변화에 적용되는 확장형 Boussinesq 방정식 개발)

  • 이창훈
    • Proceedings of the Korean Society of Coastal and Ocean Engineers Conference
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    • 2003.08a
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    • pp.53-57
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    • 2003
  • 불규칙파를 사용하여 설계 자료로 이용하기 위해서는 설계해역에서 불규칙파의 파랑변형을 예측할 수 있는 수치모형의 개발이 선행되어야 한다. 비선형 불규칙파의 거동을 해석할 수 있는 Boussinesq 방정식은 상대파고인 $\alpha$/h($\alpha$는 수면의 진폭, h는 수심임)를 비선형의 매개변수로 하고 상대수심인 kh(k는 파수임)를 분산성의 매개변수로 하여 섭동법을 사용하여 유도된다. Boussinesq 식은 수심이 일정한 경우에 Boussinesq(1872)가 비선형 항을 O($\alpha$/h,(kh)$^2$)까지 포함하여 처음으로 개발하였고 수심의 변화가 완만한 경우에 Peregrine(1967)이 개발하였다. (중략)

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A Study on the Design of Coal Gasification Unit using Computational Fluid Dynamics (전산유체역학을 이용한 분류층 석탄가스화기 설계연구)

  • 이선경;나혜령;장동순;정진도;지평심
    • Journal of Energy Engineering
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    • v.4 no.1
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    • pp.23-30
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    • 1995
  • 분류층 가스화기 설계를 위한 일차연구로서 가스화기 종횡비, 주입方法, 선회강도 및 주입속도 등에 따른 비반응 난류장 특성을 수치해석적 방법에 의해 파악하였다. 수치해석은 검사체적에 기초한 Patankar의 유한차분방법을 이용하였으며 압력과 속도의 연계문제는 SIMPLEC 알고리즘을, 레이놀즈 전단력은 K- 난류모델을 사용하였다. 입자궤적 계산은 공기역학적 향력만을 고려하였으며 비선형적인 공기저항력에 의한 난류변동상관모델은 고려치 않았다. 이차공기 주입방법(parallell injection과 nonparallel 3$0^{\circ}C$ imjection)에 따른 수치해석을 수행하여 Ar tracer의 질량분율 및 기타 속도에 대한 實驗資料와 비교하여 만족할 만한 結果를 얻었다. 나아가서 假想的인 가스화기 모델을 대상으로 가스화기의 종횡비, 선회강도, 주입속도 및 주입각 등에 따른 와류 形成 위치 등을 포함한 유동장 특성 및 입도에 따른 궤적분석을 시도하였다.

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탄소성이론을 이용한 절리면의 비선형 거동 모사

  • 이연규
    • Tunnel and Underground Space
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    • v.10 no.3
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    • pp.291-300
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    • 2000
  • 암반은 여러 가지 지질학적 요인들에 의해 형성된 수많은 절리면들을 경계로 하는 다양한 크기와 형상의 암석블럭들이 맞물려 평행상태를 이루고 있는 불연속체이다. 불연속 암반의 거동은 암석블럭을 이루는 무결암의 역학적 특성뿐만 아니라 암석블럭의 경계를 이루는 절리면들의 공간적 분포특성과 역학적 특성에도 큰 영향을 받는다. 불연속 암반의 거동해석을 목적으로 개발되고 있는 최근의 수치해석 기법들도 대부분 절리면의 영향을 효과적으로 해석에 반영시킬 수 있는 방법을 찾는데 집중하고 있다.(중략)

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Numerical Analysis for Designing Nonlinearly Ultrasonic Proximity Sensors in Air (공중파용 비선형적 초음파 감지센서의 설계를 위한 수치 해석)

  • Lee, Yang-Sub
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.5 s.98
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    • pp.209-219
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    • 1999
  • 이상적인 초음파 물체 감지 센서는 감지거리가 길고, 고해상도와 작은 크기이어야 한다. 그러나 현재 공기 중에 사용되고 있는 선형 초음파센서로는 공기의 높은 음흡수 때문에 이 세 가지 조건을 동시에 만족하기는 어렵다. 본 논문은 서로 다른 주파수성분의 두 음파의 비선형 상호작용으로 생성되는 두 주파수 차이에 상당하는 주파수의 음파를 이용한 물체감지 비선형적 초음파 감지센서에 관한 연구이다. 링-디스크 두 요소로 구성된 비선형적 초음파센서에 의해 형성되는 음장을 예측할 수 있는 컴퓨터 프로그램을 개발하였으며, 이 프로그램을 이용하여 비선형적 초음파센서의 최적 형태와 주파수를 결정하고, 선형 초음파센서와 세 조건 측면에서 비교 검토하였다. 비교 결과 비선형적 초음파센서가 해상도측면에서 유리하고, 75 dB이하의 초음파 소음환경에서 사용할 때 감지거리면에서 유리하다.

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Nonlinear Dynamic Analysis of Space Steel Frames (공간 강뼈대 구조물의 비선헝 동적 해석)

  • Kim Seung-Eock;Cuong Ngo-Huu;Lee Dong-Ho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.18 no.4 s.70
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    • pp.395-404
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    • 2005
  • This paper presents a reliable numerical procedure for nonlinear time-history analysis of space steel frames subjected to dynamic loads. Geometric nonlinearities of member (P-$\delta$) and frame (P-$\Delta$) are taken into account by the use of stability functions in framed stiffness matrix formulation. The gradual yielding along the member length and over the cross section is included by using a tangent modulus concept and a softening plastic hinge model based on the New-Orbison yield surface. A computer program utilizing the average acceleration method for the integration scheme is developed to numerically solve the equation of motion of framed structure formulated in an incremental form. The results of several numerical examples are compared with those derived from using beam element model of ABAQUS program to illustrate the accuracy and the computational efficiency of the proposed procedure.

A Study on Behavior of Anisotrpic Circular Cylingdrical Shell including Large Deformation Effects (대변형 효과를 고려한 비등방성 원통형 쉘의 거동에 관한 연구)

  • Chun, Kyoung Sik;Son, Byung Jik;Chang, Suk Yoon
    • Journal of Korean Society of Steel Construction
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    • v.14 no.4
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    • pp.489-497
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    • 2002
  • Nonlinear behavior and large deformation cannot be analyzed using techniques based on linear theory. Nonetheless, they are emerging as gradually huge and complex structures. In addition, the optimum design of structure is necessary in the development of high-performance computation and numerical methods. as well as stricter design-criterion. Therefore, the structural problems in engineering that are limited to the linear region must be extended to the nonlinear region. Likewise, structural behavior must be accurately analyzed. In turn, this requires considering the expected problems beforehand. Only then can an efficient, economical, and optimized structure be designed. This paper presents the solution of the geometrical nonlinear problem of anisotropic cylindrical shell. The characteristics of the geometrical nonlinear behavior of anisotropic circular cylindrical shells may vary according to several causes. e.g., change of fibers, curvature in the circumferential direction, subtended angle, aspect, etc. Parametric studies were conducted to determine the effect of factors on the large deflection behavior of laminated shells, with interesting observations.

The Dynamic Post-Buckling Analysis of the Non-Conservative System including Damping Effects (감쇠효과(減衰效果)를 고려한 비보존력계(非保存力系)의 동적(動的) 후좌굴(後挫屈) 해석(解析))

  • Kim, Moon Young;Chang, Sung Pil
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.10 no.3
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    • pp.67-75
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    • 1990
  • A geometrically nonlinear analysis procedure including the damping effects is presented for the investigation of the dynamic post-divergence and post-flutter behavior of a non-conservative system. The dynamic nonlinear analysis of plane frame structure subjected to conservative and non-conservative forces is carried out by solving the equations of motion using Newmark method. Numerical results are presented to demonstrate the effects of the internal and external damping forces in the conservative and non-conservative systems.

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The Response Prediction of Flexible Pavements Considering Nonlinear Pavement Foundation Behavior (비선형 포장 하부 거동을 고려한 연성 포장의 해석)

  • Kim, Min-Kwan
    • International Journal of Highway Engineering
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    • v.11 no.1
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    • pp.165-175
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    • 2009
  • With the current move towards adopting mechanistic-empirical concepts in the design of pavement structures, state-of-the-art mechanistic analysis methodologies are needed to determine accurate pavement responses, such as stress, strain, and deformation. Previous laboratory studies of pavement foundation geomaterials, i.e., unbound granular materials used in base/subbase layers and fine-grained soils of a prepared subgrade, have shown that the resilient responses followed by nonlinear, stress-dependent behavior under repeated wheel loading. This nonlinear behavior is commonly characterized by stress-dependent resilient modulus material models that need to be incorporated into finite element (FE) based mechanistic pavement analysis methods to predict more realistically predict pavement responses for a mechanistic pavement analysis. Developed user material subroutine using aforementioned resilient model with nonlinear solution technique and convergence scheme with proven performance were successfully employed in general-purpose FE program, ABAQUS. This numerical analysis was investigated in predicted critical responses and domain selection with specific mesh generation was implemented to evaluate better prediction of pavement responses. Results obtained from both axisymmetric and three-dimensional (3D) nonlinear FE analyses were compared and remarkable findings were described for nonlinear FE analysis. The UMAT subroutine performance was also validated with the instrumented full scale pavement test section study results from the Federal Aviation Administration's National Airport Pavement Test Facility (FAA's NAPTF).

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Nonlinear Flow Characteristics of Two-Dimensional Hydrofoils moving below the Free surface (자유수면하에서 이동하는 2차원 수중익 주위의 비선형 유동특성)

  • Il-Ryong Park;Ho-Hwan Chun
    • Journal of the Society of Naval Architects of Korea
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    • v.35 no.2
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    • pp.8-19
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    • 1998
  • Nonlinear flow characteristics of a hydrofoil running under the free surface are investigated based on potential flow theory using singularity distribution techniques. Following Hess & Smith's method[12], sources and vortices are distributed on the surface of the foil and Rankine sources are distributed at a distance above the undisturbed free surface to solve the nonlinear free surface waves(so called Raised Panel Method). Using the linearized Neumann-Kelvin solution, the conversed solutions which rigidly satisfy the nonlinear free surface condition is obtained through an iterative technique. It is validated that the nonlinear solutions are compared with Duncan's experimental results(NACA 0012, $\alpha=5^{\circ}$), showing good correlations with each other. At a very shallow submergence and a very high speed the converged solutions are obtained. As the speed increases higher, it is shown that the difference between the nonlinear and linear solutions are trivial. Finally, the effects of the camber and thickness on the nonlinear flow characteristics of the foil are investigated.

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A Study on the Behaviour of Mooring System for Guyed Tower (Guyed Tower의 계류시스템에 관한 연구)

  • Park, Young Suk;Lee, Myong Woo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.9 no.1
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    • pp.11-23
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    • 1989
  • This paper presents the results of the numerical analysis on the behaviour of mooring system of offshore guyed tower. Finite element method is used and geometric nonlinearities are considered in the analysis of mooring line. The governing equilibrium equations are derived by the principle of virtual work, and modified Newton-Raphson method and Newmark-${\beta}$ method are employed in response calculations. The drag and inertia effects of fluid are included using a Morrison type equation. The influences of changing typical parameters like initial inclination and tension of line at the guy attachment point, the length of clump weight, its unit weight and the anchor line length are examined. The effects of idealising the clump weight as a point load(lumped clump weight) on the behaviour of mooring lines are also discussed. Numerical examples demonstrate the validity and capability of the mathematical formulation.

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