• 제목/요약/키워드: Stiffness/Flexibility Matrix Approach

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층간균열이 존재하는 균일 열유동하의 섬유강화 적층복합재료의 열응력해석 (Thermal Stresses in a Laminated Fiber-Reinforced Composite Containing an Interlaminar Crack Under a Uniform Heat Flow)

  • 최형집;오준성;이강용
    • 대한기계학회논문집
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    • 제18권4호
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    • pp.887-902
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    • 1994
  • Within the framework of anisotropic thermoelasticity, the problem of an interlaminar crack in a laminated fiber-reinforced composite subjected to a uniform heat flow is investigated. Under a state of generalized plane deformation, dissimilar anisotropic half-spaces with different fiber orientations are considered to be bound together by a matrix interlayer containing the crack. The interlayer models the matrix-rich interlaminar region of the fibrous composite laminate. Based on the flexibility/stiffness matrix approach, formulation of the current crack problem results in having to solve two sets of singular integral equations for temperature and thermal stress analyses. Numerical results are obtained, illustrating the parametric effects of laminate stacking sequence, relative crack size, crack location, crack surface partial insulation, and fiber volume fraction on the values of mixed mode thermal stress intensity factors.

Theory of Thin-Walled, Pretwisted Composite Beams with Elastic Couplings

  • Jung, Sung-Nam;Kim, Chang-Joo;Ko, Jin-Hwan;Kim, Chang-Wan
    • Advanced Composite Materials
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    • 제18권2호
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    • pp.105-119
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    • 2009
  • In this work, the structural response of thin-walled composite beams with pretwist angle is investigated by using a mixed beam approach that combines the stiffness and flexibility methods in a unified manner. The Reissner's semi-complimentary energy functional is used to derive the stiffness matrix that approximates the beam in an Euler-Bernoulli level for extension and bending and Vlasov level for torsion. The bending and torsion-related warpings induced by the pretwist effects are derived in a closed form. The developed theory is validated with available literature and detailed finite element structural analysis results using the MSC/NASTRAN. Pretwisted composite beams with rectangular solid and thin-walled box sections are illustrated to validate the current approach. Acceptable correlation has been achieved for cases considered in this study. The effects of pretwist and fiber orientation angles on the static behavior of pretwisted composite beams are also studied.

유연체 로터-커플링-블레이드 시스템의 로터 축과 블레이드의 연성 진동에 관한 연구 (A Study on the Coupled Shaft-Torsional and Blade-Bending Vibrations in the Flexible Rotor-Coupling-Blade System)

  • 이선숙;오병영;윤형원;차석주;나성수
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2005년도 춘계학술대회논문집
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    • pp.221-226
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    • 2005
  • In this paper, a dynamic model for the rotor shaft-coupling-blade system is developed. The blades are attached to a disk and driven by an electric motor shaft which is flexible in torsion. We assumed that the shaft torsional flexibility is lumped in the flexible coupling which is usually adopted in rotor systems. The Lagrangian approach with the small deformation theory for both blade-bending and shaft-torsional deformations is employed for developing the equation of the motion. The assumed modes method is used for estimating the blade transverse deflection. The numerical results highlight the effects of both structural damping of the system and the torsional stiffness of the flexible coupling to the dynamic response of the blade. The results showed strong coupling between the blade bending and shaft torsional vibrations in the form of inertial nonlinearif, stiffness hardening and softening.

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유연체 로터-커플링-블레이드 시스템의 로터 축과 블레이드의 연성 진동에 관한 연구 (A Study on the Coupled Shaft-torsional and Blade-bending Vibrations in the Flexible Rotor-coupling-blade System)

  • 오병영;이선숙;윤형원;차석주;나성수
    • 한국소음진동공학회논문집
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    • 제15권9호
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    • pp.1023-1029
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    • 2005
  • In this paper, a dynamic model for the rotor shaft-coupling-blade system was developed. The blades are attached to a disk and driven by an electric motor shaft which is flexible in torsion. We assumed that the shaft torsional flexibility was lumped in the flexible coupling which is usually adopted in rotor systems. The Lagrangian approach with the small deformation theory for both blade-bending and shaft-torsional deformations was employed for developing the equation of the motion. The Assumed Modes Method was used for estimating the blade transverse deflection. The numerical results highlight the effects of both structural damping of the system and the torsional stiffness of the flexible coupling to the dynamic response of the blade. The results showed strong coupling between the blade bending and shaft torsional vibrations in the form of inertial nonlinearity, stiffness hardening and softening.

유연도 매트릭스를 사용한 기하학적 비선형 해석방법 (Geomatrically Non-linear Analysis Method by Curvature Based Flexibility Matrix)

  • 김진섭;권민호
    • 한국구조물진단유지관리공학회 논문집
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    • 제15권2호
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    • pp.125-135
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    • 2011
  • 유연도법 기반의 공식화에서는 변위영역의 형상함수를 라그랑지언(Lagrangian)보간법에 의한 곡률로부터 횡방향 변위를 유도한다. 곡률변위보간법으로 유도한 매트릭스를 사용한 기하학적 비선형 해석방법과 강성도법을 기반으로 한 비선형 기존의 유한요소 해석 프로그램의 결과를 비교하여 적용이 가능함을 확인하였고, Spacone의 이론을 확장시켜 기하학적 비선형 거동을 예측할 수 있는 유연도법의 알고리즘을 제안하였다. 예제를 통하여 실제 문제에 대한 기하학적 비선형 해석을 수행하였다.

속이 찬 실린더와 평판의 접합부에 관한 연구

  • 김윤영
    • 대한기계학회논문집
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    • 제16권12호
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    • pp.2241-2251
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    • 1992
  • 본 연구에서는 Fig.1에서와 같은 축대칭 평판과 속이 찬 실린더(이하 단순히 실린더라고만 칭함)가 붙은 구조물에서 실린더의 끝단효과가 응력분포에 미치는 영향 을 해석해를 사용하여 고려해 보고자 한다. 이를 위해 얇은 평판에서는 2차원 고전 평판 이론을, 등방성 실린더에서는 끝단효과를 고려하기 위해서 3차원 선형 탄성이론 을 사용하고자 한다. 실린더와 평판의 접합부에서, 평판의 이차원 해와 실린더의 3 차원 해를 연결시키기 위해 접합부에서의 실린더의 유연성을 나타내는 유연성 행렬을 유도한다. 이러한 실린더의 유연성 행렬은 원형평판의 내부 경계조건으로 사용되는 데, 이와 유사한 해석절차는 셀구조물에 활용되어 왔다.

Influence of end fixity on post-yield behaviors of a tubular member

  • Cho, Kyu Nam
    • Structural Engineering and Mechanics
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    • 제13권5호
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    • pp.557-568
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    • 2002
  • For the evaluation of the capability of a tubular member of an offshore structure to absorb the collision energy, a simple method can be employed for the collision analysis without performing the detailed analysis. The most common simple method is the rigid-plastic method. However, in this method any characteristics for horizontal movement and rotation at the ends of the corresponding tubular member are not included. In a real structural system of an offshore structure, tubular members sustain a certain degree of elastic support from the adjacent structure. End fixity has influences in the behaviors of a tubular member. Three-dimensional FEM analysis can include the effect of end fixity fully, however in viewpoints of the inherent computational complexities of the 3-D approach, this is not the recommendable analysis at the initial design stage. In this paper, influence of end fixity on the behaviors of a tubular member is investigated, through a new approach and other approaches. A new analysis approach that includes the flexibility of the boundary points of the member is developed here. The flexibility at the ends of a tubular element is extracted using the rational reduction of the modeling characteristics. The property reduction is based on the static condensation of the related global stiffness matrix of a model to end nodal points of the tubular element. The load-displacement relation at the collision point of the tubular member with and without the end flexibility is obtained and compared. The new method lies between the rigid-plastic method and the 3-demensional analysis. It is self-evident that the rigid-plastic method gives high strengthening membrane effect of the member during global deformation, resulting in a steeper slope than the present method. On the while, full 3-D analysis gives less strengthening membrane effect on the member, resulting in a slow going load-displacement curve. Comparison of the load-displacement curves by the new approach with those by conventional methods gives the figures of the influence of end fixity on post-yielding behaviors of the relevant tubular member. One of the main contributions of this investigation is the development of an analytical rational procedure to figure out the post-yielding behaviors of a tubular member in offshore structures.

비틀림 하중(荷重)을 받는 심벽구조물(心壁構造物)의 해석(解析)에 관한 연구(研究) (A Study on Analysis of Core-Wall Structure Subjected to Torque)

  • 김성칠
    • 대한토목학회논문집
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    • 제3권2호
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    • pp.137-144
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    • 1983
  • 고층건물에서의 전단벽(剪斷壁)은 횡하중을 지지(支持)하기 위해서 설치되는 구조물이다. 이 전단벽(剪斷壁)의 단면의 형태는 여러 가지 형태가 있을 수 있는데 개방단면을 갖게 되는 경우 이 부재는 비틀림에 약하기 때문에 이 점이 문제가 된다. 특히 그 구조물이 thin walled member인 경우는 더욱 그러하다. 최근에는 건물이 점점 고층화됨에 따라 이 문제는 더욱더 중요(重要)시 되어 보다 정확한 지식이 요구(要求)되고 있다. 본 논문(論文)에서는 고층건물에 설치되는 에리베이터 츄브가 전단벽 역할을 하는 경우로 단면의 형태는 channel형이고, 각 층마다 중방(中枋)(connecting beam)에 의해서 개방단면의 일부가 닫혀있게 되는 경우의 문제를 택하였다. 이를 해석(解析)하는데 복잡한 계산과 많은 계산량을 줄이고 적용에 대한 융통성을 부여하기 위해서 discrete 방법(方法)과 transfer matrix method을 사용(使用)하였다. 중방(中枋)의 영향을 고려함에 있어서는 중방(中枋)의 강도가 클 때나 적을 때나 합리적(合理的)으로 사용할 수 있는 식(式)을 적용하였다. 특히 이 방법(方法)은 불규칙한 변단면에도 쉽게 적용할 수 있을뿐만 아니라 여러 가지 하중조건에 대한 해를 일일이 구할 필요가 없으며, 형성되는 transfer matrix의 크기가 $4{\times}4$ 밖에 안되므로 쉽게 구할 수 있다.

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