• Title/Summary/Keyword: beam deflection

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수직방향 집중하중 상태의 외팔보 거동에 대한 선형 및 비선형적 해석 비교

  • Go, Jeong-U;Bin, Yeong-Bin
    • Proceeding of EDISON Challenge
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    • 2015.03a
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    • pp.239-245
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    • 2015
  • In this paper, to examine the difference between the linear and non-linear static, dynamic analysis for a structure, a cantilevered beam was used. Then, an external transverse static and dynamic loads were applied at the free end of the beam. Classical theories were used for the linear analysis and the EDISON CSD solver, co-rotational dynamic FEM program, was used for nonlinear analysis. In the static analysis, effects of the load for the beam deflection were observed in the linear and nonlinear analysis. Then, normalized displacement of tip of the beam was predicted for different frequency ration and a significant difference was obtained in the vicinity of the resonant frequency. In addition, effects of frequency and time for the beam deflection were investigated to find the frequency delay.

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A Vibration Control of a Flexible Beam using a Nonlinear Compensator with Complex Dual-Input Describing Function (복소쌍입력 기술함수를 갖는 비선형 보상기를 이용한 유연한 빔의 진동제어)

  • 권세현
    • Journal of Advanced Marine Engineering and Technology
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    • v.23 no.2
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    • pp.227-235
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    • 1999
  • In this paper a vibration control fo a one-link flexible beam is considered. At first a state-space model for a flexible beam is derived by using the assumed-modes approach. Based on this model the transfer function between the applied torque and the tip deflection fo the beam is presented because it is convenient to apply our method. In general there exist some control difference due to flexibility of the beam so we adop a forward-passive controller to reduce these phenomena. And a complex dual-input describing function compensator is used to control the tip deflection. The stabiltiy and the performance of the closed-loop system are analyzed. Finally the validity of the derived model and the effectiveness of proposed controller are confirmed throuth simula-tions and experiments.

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Flexural Behavior of External Prestressed H-Beam (외부 긴장된 H형 보의 휨거동 특성)

  • Yang, Dong Suk;Lim, Sang Hun;Park, Sun Kyu
    • Journal of Korean Society of Steel Construction
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    • v.14 no.1
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    • pp.79-85
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    • 2002
  • Recently, prestressed H-Beam bridges with external unbonded Tendons are increasingly built. The mechanical behavior of prestressed steel H-beams is different from that of normal bonded PSC beams in a point of the slip of tendons at deviators and the change of tendon eccentricity that occurs, when service load are applied in external unbonded steel H-beams. The concept of prestressing steel structures has been widely considered, in spite of long and successful history of prestressing concrete members. In the study, The flexural test on prestressed steel H-beams has been performed in the various aspects of prestressed H-beam including the tendon type and profile. The load was plotted against the deflection and the strain respectively in the steel beam and prestressing bars. The value expected with the equation of internal force equilibrium and compatibility between the deflection of the bars and the H-beam was found to correlate well with the measured data.

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

  • 김천욱;원종진;강명훈
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.8
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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.

Adaptive Three-Point Bending Controller Through Real-Time Springback Estimation for Beams (실시간 스프링백 예측을 통한 보의 3점굽힘 적응제어기 설계)

  • 정성종
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.9 no.3
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    • pp.62-68
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    • 2000
  • In order to automate straightening process of deflected beams an adaptive three-point bending controller is studies which estimates and controls springback of beams under three-point bending. An analytical load-deflection model for three-point bending of beams with circular cross sections is derived nondimensionally. In spite of variation of material and process parameters this model can be applied to springback estimation by measuring real-time values of reactive load and deflection of the beam. A hydraulic punch stroke controller is designed to take real-time controls of the permanent deflection of the beam. The validity of the proposed system is verified through experiments.

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Free Vibrations of Tapered Beams with Static Deflection due to Self-Weight (자중에 의한 정적 처짐을 고려한 변단면 보의 자유진동)

  • 이병구;이태은;안대순;김영일
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.05a
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    • pp.423-428
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    • 2002
  • A numerical method is presented to obtain natural frequencies and mode shapes of tapered beams with static deflections due to self-weight. The differential equation governing the free vibrations of beam taken into account the static deflection due to self-weight is derived and solved numerically. The hinged-hinged, clamped-clamped and clamped-hinged and clamped-free end constraints are applied in the numerical examples. As the numerical results, the lowest three natural frequencies versus distributed slenderness ratio and section ratio are reported in figures. And for the comparison purpose, the typical mode shapes with the effects of static deflection are presented in figures.

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The Stiffness Analysis of Circular Plate Regarding the Area Change of Both Ends Constructing Supporting Conditions (원형평판의 지지조건을 구성하는 양 끝단의 면적변화에 따른 강성도 해석)

  • 한근조;안찬우;김태형;안성찬;심재준;한동섭
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.10a
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    • pp.908-911
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    • 2002
  • This paper investigates the characteristics of deflection for circular plate that has same supporting condition along the width direction of plate according to the area change of supporting end. For two boundary conditions such as simple supporting and clamping on both ends, this study derives maximum deflection formula of circular plate using differential equation of elastic curve, assuming that a circular plate is a beam with different widths along the longitudinal direction. The deflection formula of circular plate is verified by carrying out finite element analysis with regard to the ratio of length of supporting part to radius of circular plate.

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Support Deflection Effects in Slabs with Beam and Girder (보-거더 시스템 슬래브에서 지지부 처짐영향에 관한 연구)

  • 곽효경;송종영
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1997.10a
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    • pp.55-62
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    • 1997
  • The support deflection effects in slabs with beams and girders are reviewed for both cases of the uniformly distributed and concentrated wheel loads. The differences in structural behavior according to the variation of support stiffness namely, the moment of inertia of beam and gilder, and the slab thickness, are calculated using the finite element method. Besides. the correction factors which can consider the support deflection effects in slab design are proposed by regression based on the obtained numerical results. Through the comparision studies of slabs with different boundary conditions, the importance for the consideration of support deflection effects in design are emphasized.

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A numerical analysis of the large deflection of an elastoplastic cantilever

  • Wang, B.;Lu, G.;Yu, T.X.
    • Structural Engineering and Mechanics
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    • v.3 no.2
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    • pp.163-172
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    • 1995
  • A simple numerical method is applied to calculate the large deflection of a cantilever beam under an elastic-plastic deformation by dividing the deformed axis into a number of small segments. Assuming that each segment can be approximated as a circular arc, the method allows large deflections and plastic deformation to be analyzed. The main interests are the load-deflection relationship, curvature distribution along the beam and the length of the plastic region. The method is proved to be easy and particularly versatile. Comparisons with other studies are given.

Deflection of battened beams with shear and discrete effects

  • Li, Ji-liang;Chen, Jian-kang
    • Structural Engineering and Mechanics
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    • v.59 no.5
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    • pp.921-932
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    • 2016
  • This paper presents a theoretical analysis for determining the transverse deflection of simply supported battened beams subjected to a uniformly distributed transverse quasi-static load. The analysis considers not only the shear effect but also the discrete effect of battens on the transverse deflection of the battened beam. The analytical solution is obtained using the principle of minimum potential energy. Numerical validation of the present analytical solution is accomplished using finite element methods. The present analytical solution shows that the shear effect on the transverse deflection of battened beams increases with the cross-section area of the main member but decreases with the cross-section area of the batten. The longer the battened beam is, or the larger the moment of inertia of the main member is, the smaller the shear effect will be.