• 제목/요약/키워드: deflections

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캔틸레버 보의 과대처짐 해석 (Numerical Analysis of Large Deflections of Cantilever Beams)

  • 이병구
    • 대한토목학회논문집
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    • 제10권1호
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    • pp.1-7
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    • 1990
  • 이 논문은 자유단에 집중하중과 만재 등분포하중이 작용하는 캔틸레버 보의 과대처짐을 해석한 연구이다. 과대처짐을 해석하기 위하여 처짐곡선의 Bernoulli-Euler 미분방정식을 이용하였고, 이 미분방정식을 Runge Kutta method와 Regula Falsi method를 이용하여 수치해석할 수 있는 기법을 개발하였다. 수치해석의 결과로 하중과 자유단의 수평처짐, 수직처짐 및 회전각과의 관계를 무차원화하여 도시하였고 또한 몇 개의 전형적인 과대처짐곡선을 무차원화하여 도시하였다.

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Examination of non-homogeneity and lamination scheme effects on deflections and stresses of laminated composite plates

  • Zerin, Zihni;Turan, Ferruh;Basoglu, Muhammed Fatih
    • Structural Engineering and Mechanics
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    • 제57권4호
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    • pp.603-616
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    • 2016
  • In this study, a convenient formulation for the bending of laminated composite plates that hold non-homogeneous properties is examined. The constitutive equations of first order shear deformation plate theory are obtained using Hamilton Principle. The effect of non-homogeneity, lamination schemes and aspect ratio on the deflections and stresses is analysed. It is understood from the study that economical and optimum designs for laminated composite plates can be achieved by changing lamination scheme and by considering non-homogeneity response of composite plate.

다중화된 광섬유센서를 이용한 강철도교의 가속도 유추 (Acceleration Estimation of a Steel Plate Girder Bridge using Multiplexed FBG Sensors)

  • 정원석;강동훈;김현민
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2007년도 춘계학술대회 논문집
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    • pp.1062-1067
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    • 2007
  • This study presents an experimental technique to monitor the dynamic behavior of the railway bridge system simultaneously using multiplexed fiber Bragg grating (FBG) sensors. The measuring quantities include stains, curvatures, vertical deflections, and vertical accelerations. The strains are directly measured from multiplexed FBG sensors at various locations of the test bridge followed by curvature calculations based on the plane section assumption. Vertical deflections are then estimated using the Bernoulli beam theory and regression analysis. Finally, vertical accelerations are obtained from the numerical differentiation in time domain. In order to verify the proposed method, several conventional electric strain gauges, displacement transducers, and accelerometers are installed at the mid-span of the bridge for comparisons. A test train is passed over the bridge to monitor the dynamic response of the bridge. The monitoring results show that the multiplexed FBG sensing system is able to capture the essential behavior of the test bridge while resolving wiring problem in practice.

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임의분포 사하중에 의한 정적처짐을 고려한 임의 변단면 보의 자유진동 (Free Vibrations of Arbitrary Tapered Beams with Static Deflections due to Arbitrary Distributed Dead Loads)

  • 이병구;오상진;이용
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 1995년도 춘계학술대회논문집; 전남대학교, 19 May 1995
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    • pp.18-21
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    • 1995
  • A numerical method is presented to obtain natural frequencies and mode shapes of the arbitrary tapered beams with static deflections due to arbitrary distributed dead loads. The differential equation governing the free vibration is derived and solved numerically. In the numerical example, the linearly tapered beams and both the triangular and sinusoidal distributed dead loads are chosen. The lowest three natural frequencies are reported and typical mode shapes are presented in the figure.

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종방향과 횡방향 변위가 연성된 축방향으로 움직이는 현의 진동 (Vibration of an Axially Moving String Coupled between Longitudinal and Transverse Deflections)

  • 정진태;신창호;한창수
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2000년도 춘계학술대회논문집
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    • pp.731-736
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    • 2000
  • The vibration of an axially moving string is studied when the string has geometric non-linearity and translating acceleration. Based upon the von karman strain theory, The equation for the longitudinal vibration is linear and uncoupled, while the equation for the transverse vibration is non-linear and coupled between the longitudinal and transverse deflections. The governing equations are discretized by using the Galerkin approximation. With the discretized nonlinear equations, the time responses are investigated by using the generalized-${\alpha}$ method.

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자동차 서스팬션의 설계를 위한 CAE 기법 개발 -롤안정바 모델링 및 댐퍼 설계- (Development of a CAE Technique for Vehicle Suspension Design -Roll Stabilizer Bar Modelling and Damper Design-)

  • 김광석;길혁문;유완석
    • 한국정밀공학회지
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    • 제15권1호
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    • pp.160-168
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    • 1998
  • In this paper. the Joint reaction forces in the suspension system of a passenger car are determined to calculate the deflections and stresses in the damper strut. A mathematical model of the Roll Stabilizer Bar(RSB) is developed to include the RSB forces in the dynamics analysis. Using these RSB forces, the variations of the damper forces and spring forces due to the wheel strokes are determined in a McPherson strut suspension. The graphs of shear force diagram, bending moment diagram, bending stress and deflections are drawn by the calculated joint reaction forces.

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Axisymmetric bending of a circular plate with symmetrically varying mechanical properties under a concentrated force

  • Magnucki, Krzysztof;Stawecki, Wlodzimierz;Lewinski, Jerzy
    • Steel and Composite Structures
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    • 제34권6호
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    • pp.795-802
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    • 2020
  • The subject of the paper is a circular plate with symmetrically thickness-wise varying mechanical properties. The plate is simply supported and carries a concentrated force located in its centre. The axisymmetric bending problem of the plate with consideration of the shear effect is analytically and numerically studied. A nonlinear function of deformation of the straight line normal to the plate neutral surface is assumed. Two differential equations of equilibrium based on the principle of stationary potential energy are obtained. The system of equations is analytically solved and the maximum deflections and shear coefficients for example plates are derived. Moreover, the maximum deflections of the plates are calculated numerically (FEM), for comparison with the analytical results.

유한요소법을 이용한 공작기계구조물의 정적 및 동적 설계 개선 사례 (A Case Study on the Static and Dynamic Design Improvement of a Machine Tool Structure by Using F.E.M.)

  • 최영휴;박선균;조병호;최영준
    • 한국공작기계학회:학술대회논문집
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    • 한국공작기계학회 2000년도 춘계학술대회논문집 - 한국공작기계학회
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    • pp.726-733
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    • 2000
  • In this article, we introduce a practical case study of the structural design improvement for a vertical machining center. During test operations, it have experienced excessive deflections and vibrations due to the fluctuating forces generated by the ball-screw thrust motor. At first we did investigate where and how much deflections and vibrations had been brought about on it. Next we made some possible structural design alternatives. It is a matter of course to compare finite element static and dynamic analysis results of both the original design and alternatives. Fortunately we have been able to find out a good one among those alternatives.

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Post-buckling responses of a laminated composite beam

  • Akbas, Seref D.
    • Steel and Composite Structures
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    • 제26권6호
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    • pp.733-743
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    • 2018
  • This paper presents post-buckling responses of a simply supported laminated composite beam subjected to a non-follower axially compression loads. In the nonlinear kinematic model of the laminated beam, total Lagrangian approach is used in conjunction with the Timoshenko beam theory. In the solution of the nonlinear problem, incremental displacement-based finite element method is used with Newton-Raphson iteration method. There is no restriction on the magnitudes of deflections and rotations in contradistinction to von-Karman strain displacement relations of the beam. The distinctive feature of this study is post-buckling analysis of Timoshenko Laminated beams full geometric non-linearity and by using finite element method. The effects of the fibber orientation angles and the stacking sequence of laminates on the post-buckling deflections, configurations and stresses of the composite laminated beam are illustrated and discussed in the numerical results. Numerical results show that the above-mentioned effects play a very important role on the post-buckling responses of the laminated composite beams.

차체용 드로우 다이의 블랭크 홀더 굽힘 변형 해석 (Analysis on the Bending Deflection of the Blank Holder in Automotive Body Panel Draw Die)

  • 인정제;신용승;김헌영;김재우;송명환;박진수
    • 한국공작기계학회:학술대회논문집
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    • 한국공작기계학회 2000년도 추계학술대회논문집 - 한국공작기계학회
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    • pp.249-254
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    • 2000
  • The contact forces between die components for the drawing of large size automotive panels introduce elastic deflections of the die components. Due to the deflections, the gap between blank holder and die varies locally resulting in nonuniform material flow. Such a nonuniform die gap usually requires correcting operation, so called die spotting, which is time consuming trial and error process. To reduce the die spotting time, the optimization of the blank holder bending deflection is needed. In this paper, we implemented an analysis procedure to predict the blank holder deflection. The analysis procedure and design of experiments techniques are applied to the optimization of balance block heights. The optimization results can be used as guidelines in actual die spotting process.

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