• 제목/요약/키워드: thin-walled beam

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변분적 점근법을 사용한 이중 세포를 갖는 박벽보의 모델링 (Modeling of two-cell thin-walled beams using variational asymptotic methods)

  • 박재상;김지환
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2005년도 추계학술발표대회 논문집
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    • pp.198-201
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    • 2005
  • This study investigates the difference between single-cell and multi-cell cross-sections of thin-walled beams. The variationally and asymptotically consistent theory is used in order to model the two-cell thin- walled beam. The theory is based on an asymptotical analysis of two-dimensional shell energy. In addition, the method allows for the development of closed-form expressions for the displacement, stress field and beam stiffness coefficients. The numerical results show the difference between the cross-sectional stiffness of single-cell and that of multi-cell.

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국부적 굽힘붕괴를 수반하는 평면프레임의 대변형 해석 (Large Deflection Analysis of a Plane Frame with Local Bending Collapse)

  • 김천욱;원종진;강명훈
    • 대한기계학회논문집
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    • 제19권8호
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    • pp.1889-1900
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    • 1995
  • In this study, a large deflection analysis of a plane frame composed of a thin-walled tube in investigated. When bent, a thin-walled tube is usually controlled by local buckling and subsequent bending collapse of the section. So load resistance reaches the yield level in a thin-walled rectangular tube. This relationship can be divided into three regimes : elastic, post-buckling and crippling. In this paper, this relationship is theoretically presented to be capable of describing nonlinearities and a stiffness matrix is derived by introducing a compound beam-spring element. A numerical analysis uses a constant incremental energy method and the solution is obtained by modifying stiffness matrix at elastic/inelastic stage. This analytical results, load-deflection paths show a good agreement with the test results.

점탄성-복합재 박판 블레이드 구조물의 진동 해석 (Dynamic Analysis of Viscoelastic Composite Thin-Walled Blade Structures)

  • 신재현;나성수;박철휴
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 추계학술대회
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    • pp.1684-1689
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    • 2003
  • This paper concerns the analytical modeling and dynamic analysis of advanced cantilevered blade structure implemented by a dual approach based on structural tailoring and viscoelastic materials technology. Whereas structural tailoring uses the directionality properties of advanced composite materials, the passive materials technology exploits the damping capabilities of viscoelastic material(VEM) embedded into the host structure. The structure is modeled as a composite thin-walled beam incorporating a number of nonclassical features such as transverse shear, secondary warping, anisotropy of constituent materials, and rotary inertias. The case of VEM spreaded over the entire span of the structure is considered. The displayed numerical results provide a comprehensive picture of the synergisitic implications of the application of both techniques, namely, the tailoring and damping technology on vibration response of thin-walled beam structure exposed to external time-dependent excitations.

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두께가 얇은 단면을 갖는 곡선보의 자유진동 해석 (Free Vibration Analysis of Curved Beams with Thin-Walled Cross-Section)

  • 이병구;박광규;오상진
    • 소음진동
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    • 제9권6호
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    • pp.1193-1199
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    • 1999
  • This paper deals with the free vibrations of circular curved beams with thin-walled cross-section. The differential equation for the coupled flexural-torsional vibrations of such beams with warping is solved numerically to obtain natural frequencies and mode shapes. The Runge-Kutta and determinant search methods, respectively, are used to solve the governing differential equation and to compute the eigenvalues. The lowest three natural frequencies and corresponding mode shapes are calculated for the thin-walled horizontally curved beams with hinged-hinged, hinged-clamped, and clamped-clamped end constraints. A wide range of opening angle of beam, warping parameter, and two different values of slenderness ratios are considered. Numerical results are compared with existing exact and numerical solutions by other methods.

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전단변형을 고려한 비대칭 박벽보의 엄밀한 정적 요소강도행렬 (Exact Static Element Stiffness Matrix of Shear Deformable Nonsymmetric Thin-walled Elastic Beams)

  • 김남일;곽태영;이준석;김문영
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2001년도 가을 학술발표회 논문집
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    • pp.345-352
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    • 2001
  • Derivation procedures of exact static element stiffness matrix of shear deformable thin-walled straight beams are rigorously presented for the spatial buckling analysis. An exact static element stiffness matrix is established from governing equations for a uniform beam element with nonsymmetric thin-walled cross section. First this numerical technique is accomplished via a generalized linear eigenvalue problem by introducing 14 displacement parameters and a system of linear algebraic equations with complex matrices. Thus, the displacement functions of dispalcement parameters are exactly derived and finally exact stiffness matrices are determined using member force-displacement relationships. The buckling loads are evaluated and compared with analytic solutions or results of the analysis using ABAQUS' shell elements for the thin-walled straight beam structure in order to demonstrate the validity of this study.

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초기하중을 받는 전단변형을 고려한 비대칭 박벽보의 엄밀한 동적 요소강도행렬 (Exact Dynamic Element Stiffness Matrix of Shear Deformable Nonsymmetric Thin-walled Beams Subjected to Initial Forces)

  • 윤희택;김동욱;김상훈;김문영
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2001년도 가을 학술발표회 논문집
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    • pp.435-442
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    • 2001
  • Derivation procedures of exact dynamic element stiffness matrix of shear deformable nonsymmetric thin-walled straight beams are rigorously presented for the spatial free vibration analysis. An exact dynamic element stiffness matrix is established from governing equations for a uniform beam element with nonsymmetric thin-walled cross section. First this numerical technique is accomplished via a generalized linear eigenvalue problem by introducing 14 displacement parameters and a system of linear algebraic equations with complex matrices. Thus, the displacement functions of dispalcement parameters are exactly derived and finally exact stiffness matrices are determined using member force-displacement relationships. The natural frequencies are evaluated and compared with analytic solutions or results of the analysis using ABAQUS' shell elements for the thin-walled straight beam structure in order to demonstrate the validity of this study.

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축하중을 받는 비대칭 박벽 곡선보의 엄밀한 동적강도행렬 (Exact Dynamic Stiffness Matrix of Nonsymmetric Thin-walled Curved Beams Subjected to Axial Forces)

  • 윤희택;박영곤;김문영
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2004년도 추계학술대회 논문집
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    • pp.906-915
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    • 2004
  • Derivation procedures of exact dynamic stiffness matrices of thin-walled curved beams subjected to axial forces are rigorously presented for the spatial free vibration analysis. An exact dynamic stiffness matrix is established from governing equations for a uniform curved beam element with nonsymmetric thin-walled cross section. Firstly this numerical technique is accomplished via a generalized linear eigenvalue problem by introducing 14 displacement parameters and a system of linear algebraic equations with complex matrices. Thus, displacement functions of dispalcement parameters are exactly derived and finally exact stiffness matrices are determined using clement force-displacement relationships. The natural frequencies of the nonsymmetric thin-walled curved beam are evaluated and compared with analytical solutions or results by ABAQUS's shell elements in order to demonstrate the validity of this study.

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편심축하중을 받는 비대칭 박벽보의 엄밀한 동적강도행렬 (Exact Dynamic Stiffness Matrix of Nonsymmetric Thin-walled Beams Subjected to Eccentrically Axial Forces)

  • 김문영;윤희택
    • 한국강구조학회 논문집
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    • 제13권6호
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    • pp.703-713
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    • 2001
  • 비대칭단면을 갖는 박벽 직선보의 3차원 자유진동해석을 수행하기 위하여 엄밀한 요소강도행렬을 유도한다. 단면이 균일한 비대칭 박벽 탄성보에 대하여 운동방정식, 힘-변위 관계식을 유도하고 엄밀한 동적강도행렬을 수치적으로 산정하는 방법을 제시한다. 14개의 변위파라미터를 도입하여 고차의 연립미분방정식을 1차 연립미분방정식으로 바꾸고, 비대칭행렬을 갖는 선형 고유치문제의 해를 복소수영역에서 구한다. 이를 이용하여 절점변위에 대한 처짐함수을 엄밀히 구하고, 재단력-변위 관계식을 이용하여 엄밀한 동적요소강도행렬을 산정한다. 본 방법의 타당성을 보이기 위하여 비대칭 박벽보의 고유진동수를 계산하고, 해석해, 혹은 3차 Hermitian 다항식을 사용한 보요소 및 ABAQUS를 사용한 유한요소 해석결과와 비교한다.

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Modeling and Vibration Feedback Control of Rotating Tapered Composite Thin-Walled Blade

  • Shim, Jae-Kyung;Sungsoo Na
    • Journal of Mechanical Science and Technology
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    • 제17권3호
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    • pp.380-390
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    • 2003
  • This paper addresses the problem of the modeling and vibration control of tapered rotating blade modeled as thin-walled beams and incorporating damping capabilities. The blade model incorporates non-classical features such as anisotropy, transverse shear, secondary warping and includes the centrifugal and Coriolis force fields. For the rotating blade system, a thorough validation and assessment. of a number of non-classical features including the taper characteristics is accomplished. The damping capabilities are provided by a system of piezoactuators bonded or embedded into the structure and spread over the entire span of the beam. Based on the converse piezoelectric effect, the piezoactuators produce a localized strain field in response to a voltage and consequently, a change of the dynamic response characteristics is induced. A velocity feedback control law relating the piezoelectrically induced transversal bending moment at the beam tip with the appropriately selected kinematical response quantity is used and thebeneficial effects upon the closed-loop dynamic characteristics of the blade are highlighted.

혼합법을 이용한 박벽 복합재료 보의 전단변형거동 해석 (Transverse Shear Behavior of Thin-Walled Composite Beams Using a Mixed Method)

  • 박일주;정성남
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2005년도 추계학술발표대회 논문집
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    • pp.194-197
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    • 2005
  • In this work, a mixed beam approach is performed to identify the transverse shear behavior of thin-walled composite beams with closed cross-sections. The analytical model includes the effects of elastic couplings, shell wall thickness, and torsion warping. The distributions of shear flow across the section as well as the shear correction coefficients are obtained in a closed form in the beam formulation. The influence of transverse shear deformation on the static behavior of closed cross-section composite beams is also investigated in the analysis

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