• Title/Summary/Keyword: Static Equilibrium State

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열차동역학에서 주어진 정적평형상태의 초기하중을 계산하기 위한 최적화 알고리즘 (An Optimization Algorithm to Compute Pre-Loads of the Given Static Equilibrium State in Train Dynamics)

  • 김종인;박정훈;유홍희;황요하
    • 한국철도학회논문집
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    • 제2권3호
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    • pp.9-17
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    • 1999
  • This paper presents a new algorithm to determine the pre-loads that sustain the static equilibrium state in a given position. The algorithm which uses a partial velocity matrix leads to an unconstrained optimization problem to compute the pre-loads of the suspensions. To demonstrate the validity of the proposed algorithm, the static analysis results that employ the pre-loads of three examples are presented using a reliable commercial program. Results of the analysis confirm the validity of the proposed algorithm.

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Large deflections of variable-arc-length beams under uniform self weight: Analytical and experimental

  • Pulngern, Tawich;Halling, Marvin W.;Chucheepsakul, Somchai
    • Structural Engineering and Mechanics
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    • 제19권4호
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    • pp.413-423
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    • 2005
  • This paper presents the solution of large static deflection due to uniformly distributed self weight and the critical or maximum applied uniform loading that a simply supported beam with variable-arc-length can resist. Two analytical approaches are presented and validated experimentally. The first approach is a finite-element discretization of the span length based on the variational formulation, which gives the solution of large static sag deflections for the stable equilibrium case. The second approach is the shooting method based on an elastica theory formulation. This method gives the results of the stable and unstable equilibrium configurations, and the critical uniform loading. Experimental studies were conducted to complement the analytical results for the stable equilibrium case. The measured large static configurations are found to be in good agreement with the two analytical approaches, and the critical uniform self weight obtained experimentally also shows good correlation with the shooting method.

Static and quasi-static slope stability analyses using the limit equilibrium method for mountainous area

  • Hosung Shin
    • Geomechanics and Engineering
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    • 제34권2호
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    • pp.187-195
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    • 2023
  • Intensive rainfall during the summer season in Korea has triggered numerous devastating landslides outside of downtown in mountainous areas. The 2D slope stability analysis that is generally used for cut slopes and embankments is inadequate to model slope failure in mountainous areas. This paper presents a new 3D slope stability formulation using the global sliding vector in the limit equilibrium method, and it uses an ellipsoidal slip surface for static and quasi-static analyses. The slip surface's flexibility of the ellipsoid shape gives a lower FS than the spherical failure shape in the Fellenius, Bishop, and Janbu's simplified methods. The increasing sub-columns of each column tend to increase the FS and converge to a steady value. The symmetrical geometric conditions of the convex turning corners do not indicate symmetrical failure of the surface in 3D analysis. Pseudo-static analysis shows that the horizontal seismic force decreases the FS and increases the mass volume at the critical failure state. The stability index takes the FS and corresponding sliding mass into consideration to assess the potential risk of slope failure in complex mountainous terrain. It is a valuable parameter for selecting a vulnerable area and evaluating the overall risk of slope failure.

CRTS 반사판의 구조적 인자가 형상오차에 미치는 영향 (The Influence of the Structural Parameters on the Shape Errors of CRTS Reflector)

  • 송원근;김승덕
    • 한국전산구조공학회논문집
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    • 제16권1호
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    • pp.87-94
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    • 2003
  • 연속적으로 이루어지는 제작ㆍ조립 단계에서 변위하중을 받는 CRTS 반사판의 초기 정적평형상태론 결정하기 위하여 변위증분법을 사용하여 기하학적 비선형 유한요소 해석기법을 제시하고 반사반의 이상적인 형상파 실 제자 형상과의 차이, 즉 형상오차에 케이블 및 구조적 인자가 미치는 영향에 관한 연구를 수행한다. 본 연구 결과는 Galerkin method 와 NASS 98 Program을 사용하여 해석한 결과와 비교ㆍ검증하여 그 타당성을 입증한다.

선단압력을 고려한 무한폭 틸팅-패드 저어널 베어링의 정특성 및 동특성 해석 (An Analysis of the Static and Dynamic Characteristics of Infinite Width Tilting-Pad Journal Bearings in Consideration of Ram-Prssure)

  • 김종수;김경웅
    • Tribology and Lubricants
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    • 제5권2호
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    • pp.68-76
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    • 1989
  • In this paper, the influence of ram-pressure on the static and dynamic characteristics of infinite width tilting-pad journal bearing is investigated theoretically. The ram-pressure is obtained by assumption of conservation of mechanical energy of the lubricant flow through the leading edge of the pad. The pressure in the lubricating film is numerically calculated using the ram-pressure obtained as the inlet pressure boundary condition of the pad. The static equilibrium state of tilting-pad journal bearing is determined by Newton-Raphson iteration method. A numerical results are presented in graphic form and relationships between the ram-pressure and the static and dynamic characteristics are discussed.

3차원 케이블망의 정적 비선형 해석 및 초기 평형상태의 결정 (Non-linear Static Analysis and Determination of Initial Equilibrium States of Space Cable Nets)

  • 김문영;김남일
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1997년도 가을 학술발표회 논문집
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    • pp.134-141
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    • 1997
  • A geometrically non-linear finite element formulation of spatial cable networks is presented using three cable elements. Firstly, derivation procedures of tangent stiffness and mass matrices for the space truss element and the elastic catenary cable element, and the isoparametric cable element are summarized. The load incremental method based on Newton-Raphson iteration method and the dynamic relaxation method are presented in order to determine the initial static state of cable nets subjected to self-weights and support motions. Furthermore, static non-linear analysis of cable structures under additional live loads are performed based on the initial configuration. Challenging example problems are presented and discussed in order to demonstrate the feasibility of the present finite element method and investigate static non-linear behaviors of cable nets.

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축방향 변형을 고려한 사장교의 초기평형상태 해석 (Initial Equilibrium State Analysis of Cable Stayed Bridges Considering Axial Deformation)

  • 김제춘;장승필
    • 한국강구조학회 논문집
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    • 제14권4호
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    • pp.539-547
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    • 2002
  • 사장교의 정확한 초기형상을 결정하기 위한 초기평형상태 해석법으로 케이블 장력에 큰 영향을 미치는 축방향 변형을 고려한 반복해석 알고리즘을 제시하였다. 해석의 정확성과 수렴성을 향상시키기 위해 매개변수 해석을 통해 케이블 장력의 초기값을 간단하게 결정할 수 있는 방법을 제안하였으며, 3차원 뼈대요속와 탄성현수선요소를 적용한 해석 프로그램을개발하여 사장교의 기하비선형 거동을 고려하였다. 실교량 모델을 포함한 해석 예제를 통하여 본 연구에서 제시한 해석 알고리즘의 정확성과 적용성을 검증하였다. 제안된 해석 알고리즘은 부재 제작시 측방향 변형을 제작 캠버량으로 반영하지 않는 경우나 시공중 발생하는 시공오차나 제작오차의 영향을 제거하기 위해 최종장력을 보정하는 경우에 유용하게 적용될 수 있다.

Nonlinear formulation and free vibration of a large-sag extensible catenary riser

  • Punjarat, Ong-art;Chucheepsakul, Somchai
    • Ocean Systems Engineering
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    • 제11권1호
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    • pp.59-81
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    • 2021
  • The nonlinear formulation using the principle of virtual work-energy for free vibration of a large-sag extensible catenary riser in two dimensions is presented in this paper. A support at one end is hinged and the other is a free-sliding roller in the horizontal direction. The catenary riser has a large-sag configuration in the static equilibrium state and is assumed to displace with large amplitude to the motion state. The total virtual work of the catenary riser system involves the virtual strain energy due to bending, the virtual strain energy due to axial deformation, the virtual work done by the effective weight, and the inertia forces. The nonlinear equations of motion for two-dimensional free vibration in the Cartesian coordinate system is developed based on the difference between the Euler's equations in the static state and the displaced state. The linear and nonlinear stiffness matrices of the catenary riser are obtained and the eigenvalue problem is solved using the Galerkin finite element procedure. The natural frequencies and mode shapes are obtained. The results are validated with regard to the reference research addressing the accuracy and efficiency of the proposed nonlinear formulation. The numerical results for free vibration and the effect of the nonlinear behavior for catenary riser are presented.

Postbuckling strength of an axially compressed elastic circular cylinder with all symmetry broken

  • Fujii, Fumio;Noguchi, Hirohisa
    • Structural Engineering and Mechanics
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    • 제11권2호
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    • pp.199-210
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    • 2001
  • Axially compressed circular cylinders repeat symmetry-breaking bifurcation in the postbuckling region. There exist stable equilibria with all symmetry broken in the buckled configuration, and the minimum postbuckling strength is attained at the deep bottom of closely spaced equilibrium branches. The load level corresponding to such postbuckling stable solutions is usually much lower than the initial buckling load and may serve as a strength limit in shell stability design. The primary concern in the present paper is to compute these possible postbuckling stable solutions at the deep bottom of the postbuckling region. Two computational approaches are used for this purpose. One is the application of individual procedures in computational bifurcation theory. Path-tracing, pinpointing bifurcation points and (local) branch-switching are all applied to follow carefully the postbuckling branches with the decreasing load in order to attain the target at the bottom of the postbuckling region. The buckled shell configuration loses its symmetry stepwise after each (local) branch-switching procedure. The other is to introduce the idea of path jumping (namely, generalized global branch-switching) with static imperfection. The static response of the cylinder under two-parameter loading is computed to enable a direct access to postbuckling equilibria from the prebuckling state. In the numerical example of an elastic perfect circular cylinder, stable postbuckling solutions are computed in these two approaches. It is demonstrated that a direct path jump from the undeformed state to postbuckling stable equilibria is possible for an appropriate choice of static perturbations.

작은 가로세로비를 가진 전통 방패연의 평형 비행 조건 연구 (A Study on Trim Flight Condition for a Korean Traditional Bangpae Kite with Low Aspect Ratio)

  • 강치행
    • 한국항공우주학회지
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    • 제39권9호
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    • pp.871-876
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    • 2011
  • 본 논문에서는 작은 가로세로비를 가진 전통 방패연의 풍동실험 공력자료를 이용하여 평형 비행 성능을 분석하였다. 공력 및 압력 중심 위치로부터 전통 방패연의 정적 평형비행조건을 충족시키는데 필요한 목줄과 공수줄의 상대적 길이를 산출하였다. 연을 띄우기에 적합한 연실-지평각 ${\theta}=30^{\circ}{\sim}60^{\circ}$에서 고정된 목줄 길이 0.88c에 대해 공수줄의 길이는 ($0.88{\pm}0.02$)c 범위 내에 있었다. 이러한 전통 방패연의 평형 비행 성능 분석을 통해 얻은 목줄과 공수줄의 상대적 길이는 전통적 벌잇줄 매기법에 의한 길이와 정확히 일치하였다.