• 제목/요약/키워드: Global Deflection

검색결과 69건 처리시간 0.024초

Theoretical analysis of simply supported channel girder bridges

  • Hu, Hong-Song;Nie, Jian-Guo;Wang, Yu-Hang
    • Structural Engineering and Mechanics
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    • 제56권2호
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    • pp.241-256
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    • 2015
  • Channel girder bridges that consist of a deck slab and two side beams are good choices for railway bridges and urban rail transit bridges when the vertical clearance beneath the bridge is restricted. In this study, the behavior of simply supported channel girder bridges was theoretical studied based on the theory of elasticity. The accuracy of the theoretical solutions was verified by the finite element analysis. The global bending of the channel girder and the local bending of the deck slab are two contributors to the deformations and stresses of the channel girder. Because of the shear lag effect, the maximum deflection due to the global bending could be amplified by 1.0 to 1.2 times, and the effective width of the deck slab for determining the global bending stresses can be as small as 0.7 of the actual width depending on the width-to-span ratio of the channel girder. The maximum deflection and transversal stress due to the local bending are obtained at the girder ends. For the channel girders with open section side beams, the side beam twist has a negligible effect on the deflections and stresses of the channel girder. Simplified equations were also developed for calculating the maximum deformations and stresses.

RC 짧은보(a/d<2.5)의 순간처짐 산정에 대한 연구 (Instantaneous Deflection calculation Incorporated with Internal Force State Factor In RC short beams(a/d<2.5))

  • 오현철;정제평;김우
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2001년도 가을 학술발표회 논문집
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    • pp.713-718
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    • 2001
  • This paper describes an attempt to develop a new equation to calculate deflection for reinforced concrete deep beams(a/d<2.5). The main idea incorporated with this equation is the internal force state factor($\alpha$)which is able to express global state of internal force flow in cracked reinforced concrete beams subjected to shear and bending. A new equation for deflection calculation using internal force state factor($\alpha$)provides more exact result of deflection in reinforced concrete deep beams than the equation predicted by the current code provisions.

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FBG 변형률센서를 이용한 현수교의 정적 처짐형상 추정 (Prediction of the Static Deflection Profiles on Suspension Bridge by Using FBG Strain Sensors)

  • 조남소;김남식
    • 대한토목학회논문집
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    • 제28권5A호
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    • pp.699-707
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    • 2008
  • 교량구조물의 안전성 평가에 있어서 처짐형상을 측정하는 것은 매우 중요한 요소이다. 그러나 교량의 처짐을 측정하는 작업은 일반적으로 용이하지 않으며, 경우에 따라서 측정점이 제한되거나 많은 비용이 소요된다. 따라서 최근에 광섬유 변형률센서를 이용한 교량의 처짐형상을 간접적으로 추정하는 연구가 진행되고 있으나 단순지지 형식의 교량에 주로 적용되고 있다. 본 연구에서는 현수교의 고전적인 처짐이론을 적용하여 측정된 변형률로부터 처짐형상을 추정하는 기법을 제시하였으며, 이에 대한 검증을 위하여 남해대교를 대상으로 현장 재하시험을 수행하였다. 남해대교 보강형 내부에 부착한 FBG 변형률센서를 이용하여 변형률을 계측하였으며, 제안한 추정기법을 적용하여 얻어진 처짐형상을 정밀측량데이터 및 구조해석결과와 비교분석하였다. 결과적으로 본 연구에서 제안한 현수교 처짐형상 추정기법의 적용가능성을 검증하였으며, FBG 변형률센서의 현장 적용성을 확인하였다.

교량의 수직처짐 측정을 위한 유비쿼터스 무선경사센서 활용연구 (A Study on the Ubiquitous Wireless Tilt Sensors's Application for Measuring Vertical Deflection of Bridge)

  • 조병완;윤광원;김영지;이동윤
    • 한국구조물진단유지관리공학회 논문집
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    • 제15권3호
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    • pp.116-124
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    • 2011
  • 대부분의 구조물 안전성 평가에 있어서 전체적인 거동을 나타내는 인자, 즉 기하학적인 형상 변화를 추정하는 것은 매우 중요하다. 종래에는 현장에서 교량의 처짐을 손쉽게 측정할 수 있는 적절한 수단과 방법의 부재로 말미암아, 처짐의 측정이 제한된 측정점에 국한되었고, 또한 변위계를 설치한 개소에 한정되었다. 따라서, 본 연구에서는 USN(Ubiquitous Sensor Network) 기반의 무선 경사센서모듈(Wireless Tiltmeter)을 통해 건설구조물의 처짐을 추정하는 방법을 개발하고, 기존의 변위 측정 자기 센서(Linear Variable Differential Transformer: LVDT)를 이용해 측정하는 기술 대신, 유비쿼터스 개념의 무선 경사 센서 모듈의 경사 변화에 따른 저항의 변화를 전압의 형식으로 출력하고, 교정계수를 이용하여 실제 처짐각 및 처짐으로 환산하여 최대 처짐을 구하도록 개발된 유비쿼터스 기반의 처짐 추정방법을 검증하기 위하여 실내 실험을 수행하였고, 그 결과, 측정점에 상관없이 균일한 측정이 가능하고, 기존의 방법과 거의 일치하는 값을 나타내는 것으로 확인되었다.

반도체 산업의 정밀리드프레임에 대한 프레스 및 금형 변형 예측 (Press and Die Deformation for a Precise Semiconductor Lead Frame)

  • 홍석무;윤여환;엄성욱;황지훈;이동욱
    • 소성∙가공
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    • 제23권4호
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    • pp.206-210
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    • 2014
  • The metal lead frame, a semiconductor component, has product tolerances in micro units as compared to products made with a larger size mold. Therefore, small deflections of the mold and of the press as well as the press molding process itself have a strong influence on accuracy of the product. Hence, it is necessary for the process design to consider the structural response of the mold and the press during deformation. In the current study, the mold deflection and pressure on the punch is examined using the finite element modeling (FEM) program ABAQUS. The results from the simulation were verified with the dynamic deformation measurement equipment using digital image correlation (DIC).

A simple finite element formulation for large deflection analysis of nonprismatic slender beams

  • AL-Sadder, Samir Z.;Othman, Ra'ad A.;Shatnawi, Anis S.
    • Structural Engineering and Mechanics
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    • 제24권6호
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    • pp.647-664
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    • 2006
  • In this study, an improved finite element formulation with a scheme of solution for the large deflection analysis of inextensible prismatic and nonprismatic slender beams is developed. For this purpose, a three-noded Lagrangian beam-element with two dependent degrees of freedom per node (i.e., the vertical displacement, y, and the actual slope, $dy/ds=sin{\theta}$, where s is the curved coordinate along the deflected beam) is used to derive the element stiffness matrix. The element stiffness matrix in the global xy-coordinate system is achieved by means of coordinate transformation of a highly nonlinear ($6{\times}6$) element matrix in the local sy-coordinate. Because of bending with large curvature, highly nonlinear expressions are developed within the global stiffness matrix. To achieve the solution after specifying the proper loading and boundary conditions, an iterative quasi-linearization technique with successive corrections are employed considering these nonlinear expressions to remain constant during all iterations of the solution. In order to verify the validity and the accuracy of this study, the vertical and the horizontal displacements of prismatic and nonprismatic beams subjected to various cases of loading and boundary conditions are evaluated and compared with analytic solutions and numerical results by available references and the results by ADINA, and excellent agreements were achieved. The main advantage of the present technique is that the solution is directly obtained, i.e., non-incremental approach, using few iterations (3 to 6 iterations) and without the need to split the stiffness matrix into elastic and geometric matrices.

Prediction of post fire load deflection response of RC flexural members using simplistic numerical approach

  • Lakhani, Hitesh;Singh, Tarvinder;Sharma, Akanshu;Reddy, G.R.;Singh, R.K.
    • Structural Engineering and Mechanics
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    • 제50권6호
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    • pp.755-772
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    • 2014
  • A simplistic approach towards evaluation of complete load deflection response of Reinforced Concrete (RC) flexural members under post fire (residual) scenario is presented in this paper. The cross-section of the RC flexural member is divided into a number of sectors. Thermal analysis is performed to determine the temperature distribution across the section, for given fire duration. Temperature-dependent stress-strain curves for concrete and steel are then utilized to perform a moment-curvature analysis. The moment-curvature relationships are obtained for beams exposed to different fire durations. These are then utilized to obtain the load-deflection plots following pushover analysis. Moreover one of the important issues of modeling the initial stiffness giving due consideration to stiffness degradation due to material degradation and thermal cracking has also been addressed in a rational manner. The approach is straightforward and can be easily programmed in spreadsheets. The presented approach has been validated against the experiments, available in literature, on RC beam subjected to different fire durations viz. 1hr, 1.5hrs and 2hrs. Complete load-deflection curves have been obtained and compared with experimentally reported counterparts. The results also show a good match with the results obtained using more complicated approaches such as those involving Finite element (FE) modeling and conducting a transient thermal stress analysis. Further evaluation of the beams during fire (at elevated temperatures) was performed and a comparison of the mechanical behavior of RC beams under post fire and during fire scenarios is made. Detailed formulations, assumptions and step by step approach are reported in the paper. Due to the simplicity and ease of implementation, this approach can be used for evaluation of global performance of fire affected structures.

Optimal sensor placement for bridge damage detection using deflection influence line

  • Liu, Chengyin;Teng, Jun;Peng, Zhen
    • Smart Structures and Systems
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    • 제25권2호
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    • pp.169-181
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    • 2020
  • Sensor placement is a crucial aspect of bridge health monitoring (BHM) dedicated to accurately estimate and locate structural damages. In addressing this goal, a sensor placement framework based on the deflection influence line (DIL) analysis is here proposed, for the optimal design of damage detection-oriented BHM system. In order to improve damage detection accuracy, we explore the change of global stiffness matrix, damage coefficient matrix and DIL vector caused by structural damage, and thus develop a novel sensor placement framework based on the Fisher information matrix. Our approach seeks to determine the contribution of each sensing node to damage detection, and adopts a distance correction coefficient to eliminate the information redundancy among sensors. The proposed damage detection-oriented optimal sensor placement (OSP) method is verified by two examples: (1) a numerically simulated three-span continuous beam, and (2) the Pinghu bridge which has existing real damage conditions. These two examples verify the performance of the distance corrected damage sensitivity of influence line (DSIL) method in significantly higher contribution to damage detection and lower information redundancy, and demonstrate the proposed OSP framework can be potentially employed in BHM practices.

FBG 센서 기반의 자기부상열차 통합 모니터링 시스템 (Integrated Monitoring System of Maglev Guideway based on FBG Sensing System)

  • 정원석;강동훈;여인호;이준석
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2008년도 춘계학술대회논문집
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    • pp.761-765
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    • 2008
  • This study presents an effective methodology on integrated monitoring system for a maglev guideway using WDM-based FBG sensors. The measuring quantities include both local and global quantities of the guideway response, such as stains, curvatures, and vertical deflections. 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. Frequency contents obtained from the proposed method are compared with those from a conventional accelerometer. Verification tests were conducted on the newly-developed Korean Maglev test track. It has been shown that good agreement between the measured deflection and the estimated deflection is achieved. The difference between the two peak displacements was only 3.5% in maximum and the correlations between data from two sensing systems are overall very good. This confirms that the proposed technique is capable of tracing the dynamic behavior of the maglev guideway with an acceptable accuracy. Furthermore, it is expected that the proposed scheme provides an effective tool for monitoring the behavior of the maglev guideway structures without electro magnetic interference.

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A Continuous Robust Control Strategy for the Active Aeroelastic Vibration Suppression of Supersonic Lifting Surfaces

  • Zhang, K.;Wang, Z.;Behal, A.;Marzocca, P.
    • International Journal of Aeronautical and Space Sciences
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    • 제13권2호
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    • pp.210-220
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    • 2012
  • The model-free control of aeroelastic vibrations of a non-linear 2-D wing-flap system operating in supersonic flight speed regimes is discussed in this paper. A novel continuous robust controller design yields asymptotically stable vibration suppression in both the pitching and plunging degrees of freedom using the flap deflection as a control input. The controller also ensures that all system states remain bounded at all times during closed-loop operation. A Lyapunov method is used to obtain the global asymptotic stability result. The unsteady aerodynamic load is considered by resourcing to the non-linear Piston Theory Aerodynamics (PTA) modified to account for the effect of the flap deflection. Simulation results demonstrate the performance of the robust control strategy in suppressing dynamic aeroelastic instabilities, such as non-linear flutter and limit cycle oscillations.