• 제목/요약/키워드: Static deflection method

검색결과 193건 처리시간 0.028초

원통형 스프링의 동특성 해석을 위한 헬리컬 로드 유한요소 개발 (Development of Helical Rod Finite Element for the Dynamic Analysis of Cylindrical Springs)

  • 김도중;이덕영
    • 소음진동
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    • 제9권3호
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    • pp.544-553
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    • 1999
  • A 3-dimensional helical rod finite element is devloped for the dynamic analysis of cylindrical springs. Element matrices are formulated using the Galerkin's method, and an exact static deflection curve is used as a shape function. Because the resultant mass and stiffness matrices of the model are symmetric, effective direct solution method can easily be applied for analysing dynamic behavior of springs. The model is used to analyze the dynamic characteristics of a typical automotive valve spring. The effectiveness of the developed helical rod element is verified by comparing the results of the proposed method with those of a classical theory and experiments. The helical element developed in this study is superior to a straight beam element and a 2-dimensional curved beam element for this problem.

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철근이 부식된 철근콘크리트 구조물의 건전도 평가기술 (Integrity Estimation of The RC Members Damaged by Corrosion of Main Rebar)

  • 권대홍;유석형;노삼영
    • KIEAE Journal
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    • 제7권4호
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    • pp.141-146
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    • 2007
  • It is necessary to guarantee the safety, serviceability and durability of reinforced concrete structures over their service life. However, concrete structures represent a decrease in their durability due to the effects of external environments according to the passage of time, and such degradation in durability can cause structural degradation in materials. In concrete structures, some degradations in durability increase the corrosion of embedded rebars and also decrease the structural performance of materials. Thus, the structural condition assessment of RC materials damaged by corrosion of rebars becomes an important factor that judges needs to apply restoration. In order to detect the damage of reinforced concrete structures, a visual inspection, a nondestructive evaluation method(NDE) and a specific loading test have been employed. However, obscurities for visual inspection and inaccessible members raise difficulty in evaluating structure condition. For these reasons, detection of location and quantification of the damage in structures via structural response have been one of the very important topics in system identification research. The main objective of this project is to develope a methodologies for the damage identification via static responses of the members damaged by durability. Six reinforced concrete beams with variables of corrosion position and corrosion width were fabricated and the damage detections of corroded RC beams were performed by the optimization and the conjugate beam methods using static deflection. In results it is proved that the conjugate beam method could predict the damage of RC members practically.

Static bending study of AFG nanobeam using local stress-and strain-driven nonlocal integral models

  • Yuan Tang;Hai Qing
    • Advances in nano research
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    • 제16권3호
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    • pp.265-272
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    • 2024
  • In this paper, the problem of static bending of axially functionally graded (AFG) nanobeam is formulated with the local stress(Lσ)- and strain-driven(εD) two-phase local/nonlocal integral models (TPNIMs). The novelty of the present study aims to compare the size-effects of nonlocal integral models on bending deflections of AFG Euler-Bernoulli nano-beams. The integral relation between strain and nonlocal stress components based on two types nonlocal integral models is transformed unitedly and equivalently into differential form with constitutive boundary conditions. Purely LσD- and εD-NIMs would lead to ill-posed mathematical formulation, and Purely εD- and LσD-nonlocal differential models (NDM) may result in inconsistent size-dependent bending responses. The general differential quadrature method is applied to obtain the numerical results for bending deflection and moment of AFG nanobeam subjected to different boundary and loading conditions. The influence of AFG index, nonlocal models, and nonlocal parameters on the bending deflections of AFG Euler-Bernoulli nanobeams is investigated numerically. A consistent softening effects can be obtained for both LσD- and εD-TPNIMs. The results from current work may provide useful guidelines for designing and optimizing AFG Euler-Bernoulli beam based nano instruments.

에너지법에 의한 연속 곡선박스형교의 정적해석에 관한 연구 (A Study on the Static Analysis of the Cintinuous Curved Box Girder Bridge using Energy Method)

  • 장병순;서상근;이동준
    • 한국강구조학회 논문집
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    • 제13권2호
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    • pp.163-176
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    • 2001
  • 본 논문에서는 뒴비틀림 효과를 고려한 휨비틀림 이론을 기초로 연속곡선보를 해석한다. 먼저 단순곡선보에 대해 미분방정식으로 단면력과 변위를 구한다. 다음 에너지법을 이용하여 n경간 연속곡선보에 대한 탄성방정식으로 연속곡선보의 임의점에서 단면력과 변위의 해를 구한다. 작용하중으로 수직집중하중과 수직등분포하중을 고려하여 해석하였으므로 실제 하중이 작용하는 연속곡선박스거더의 단면력과 변위를 쉽게 구할 수 있다.

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유한요소법에 의한 점용접된 두 사각평판의 정적굽힘강도해석 (Static Bending Strength Analysis of Two Rectangular Plates Spot-welded Using Finite Element Method)

  • 한근조;김태형;안성찬;심재준;한동섭
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집A
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    • pp.842-847
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    • 2001
  • In order to reinforce the plate in bending spot-welding method is usually used. To analyze the effect of the reinforcement of the plates spot-welded, finite element method was employed to take advantage of the deflection obtained with respect to the change of the aspect ratio and area ratio. The reinforcement effect represented by the equivalent thickness. Was maximum when the aspect ratio was around $1.2{\sim}1.6$ and the area ratio was 0.05.

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NURBS-based isogeometric analysis for thin plate problems

  • Shojaee, S.;Valizadeh, N.
    • Structural Engineering and Mechanics
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    • 제41권5호
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    • pp.617-632
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    • 2012
  • An isogeometric approach is presented for static analysis of thin plate problems of various geometries. Non-Uniform Rational B-Splines (NURBS) basis function is applied for approximation of the thin plate deflection, as for description of the geometry. The governing equation based on Kirchhoff plate theory, is discretized using the standard Galerkin method. The essential boundary conditions are enforced by the Lagrange multiplier method. Several typical examples of thin plate and thin plate on elastic foundation are solved and compared with the theoretical solutions and other numerical methods. The numerical results show the robustness and efficiency of the proposed approach.

Computation of stress-deformation of deep beam with openings using finite element method

  • Senthil, K.;Gupta, A.;Singh, S.P.
    • Advances in concrete construction
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    • 제6권3호
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    • pp.245-268
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    • 2018
  • The numerical investigations have been carried out on deep beam with opening subjected to static monotonic loading to demonstrate the accuracy and effectiveness of the finite element based numerical models. The simulations were carried out through finite element program ABAQUS/CAE and the results thus obtained were validated with the experiments available in literature. Six simply supported beams were modelled with two square openings of 200 and 250 mm sides considered as opening at centre, top and bottom of the beam. In order to define the material behaviour of concrete and reinforcing steel bar the Concrete Damaged Plasticity model and Johnson-Cook material parameters available in literature were employed. The numerical results were compared with the experiments in terms of ultimate failure load, displacement and von-Mises stresses. In addition to that, seventeen beams were simulated under static loading for studying the effect of opening location, size and shape of the opening and depth, span and shear span to depth ratio of the deep beam. In general, the numerical results accurately predicted the pattern of deformation and displacement and found in good agreement with the experiments. It was concluded that the structural response of deep beam was primarily dependent on the degree of interruption of the natural load path. An increase in opening size from 200 to 250 mm size resulted in an average shear strength reduction of 35%. The deep beams having circular openings undergo lesser deflection and thus they are preferable than square openings. An increase in depth from 500 mm to 550 mm resulted in 78% reduced deflection.

지속하중을 받은 FRP 외부부착 보강 철근콘크리트 보의 거동 특성에 관한 실험적 연구 (An Experimental Study on the Behavior of RC Beams Externally Bonded with FRPs Under Sustained Loads)

  • 심재중;오광진;김연태;박선규
    • 한국구조물진단유지관리공학회 논문집
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    • 제14권1호
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    • pp.125-132
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    • 2010
  • 최근 건설 사업에서 FRP를 단순 부착하여 구조물을 보강하는 공법은 현재 가장 널리 사용되고 있는 보수보강법이다. 본 논문에서는 FRP로 보강된 철근콘크리트 구조물은 지속하중을 받고 있기 때문에 크리프와 건조수축의 영향을 받는다. 이로 인하여 FRP의 보강효과도 달라지며, 처짐 및 변형의 회복성능, 잔존 내력 역시 크게 달라진다. 따라서 CFRP, GFRP가 휨성능에 영향을 미치는 보강 성능을 파악하고, 일정 시간이 흐른 후 하중을 제거하여 장기 변형 및 처짐의 회복성능을 파악하고, 잔존하는 내력을 알아보고자 정적 재하 실험을 수행하였다. 실험한 결과, FRP 보강 실험체는 즉시 처짐을 제어하는 측면은 매우 효율적이고, 즉시변형 회복량 또한 즉시 변형량보다 큰 결과를 보였다. 잔존강도 실험을 통하여 CFRP로 보강된 실험체가 가장 큰 내력을 가지는 것으로 나타났다. FRP로 보강된 보는 지속하중에 의한 부착성능 및 잔존내력에는 영향이 없었던 것으로 판단된다.

Fatigue performance evaluation of reinforced concrete element: Efficient numerical and SWOT analysis

  • Saiful Islam, A.B.M.
    • Computers and Concrete
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    • 제30권4호
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    • pp.277-287
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    • 2022
  • Due to the scarcity of extortionate experimental data, fatigue failure of the reinforced concrete (RC) element might be achieved economically adopting nonlinear finite element (FE) analysis as an alternative approach. However, conventional implicit dynamic analysis is expensive, quasi-static method overlooks interaction effects and inertia, direct cyclic analysis computes stabilized responses. Apart from this, explicit dynamic analysis may provide a numerical operating system for factual long-term responses. The study explores the fatigue behavior based on a simplified explicit dynamic solution employing nonlinear time domain analysis. Among fourteen RC beams, one beam is selected to validate under static loading, one under fatigue with the experimental study and other twelve to check the detail fatigue behavior. The SWOT (Strength, Weakness, Opportunities, Threats) analysis has been carried out to pinpoint the detail scenario in the adoption of numerical approach as an alternative to the experimental study. Excellent agreement of FE and experimental results is seen. The 3D nonlinear RC beam model at service fatigue limits is truthful to be used as an expedient contrivance to envisage the precise fatigue behavior. The simplified analysis approach for RC beam under fatigue offers savings in computation to predict responses providing acceptable accuracy rather than the complicated laboratory investigation. At higher frequency, the flexural failure occurs a bit earlier gradually compared to the repeated loading case of lower frequency. The deflection increases by 6%-10% at the end of first cycle for beams with increasing frequency of cyclic loading. However, at the end of fatigue loading, greater deflection occur earlier for higher load range because of more rapid stiffness degradation. For higher frequency, a slight boost in concrete compressive strains at an initial stage of loading has been seen indicating somewhat stepper increment. Stiffness degradation in larger loading cycle at same duration escalates the upsurge of the rate of strain in case of higher frequency.

이중범프포일 공기베어링의 성능해석 (Performance Analysis of Double-Bumped Air Foil Bearings)

  • 김영철;이동현;김경웅
    • Tribology and Lubricants
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    • 제23권3호
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    • pp.123-129
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    • 2007
  • This paper presents a theoretical model for the analysis of double-bumped AFBs. The stiffness and damping coefficients of the double bump vary depending on the external load and its friction coefficient. In the case of a lightly loaded condition where only the upper bump contributes to deformation, the double bump is in the single active region. In the case of a heavily loaded condition where both the upper and lower bumps contribute to deformation, the double bump is in the double active region. So the double bump can be either in the single or double active region depending on vertical deflection. The equivalent stiffness and damping coefficients of the bump system are derived from the vertical and horizontal deflection of the bump, including the friction effect. A static and dynamic performance analysis is carried out by using the finite difference method and the perturbation technique. The results of the performance analysis for a double-bumped AFB are compared with those obtained for a single-bumped AFB. This paper successfully proves that a double bumped AFB has higher load capacity, stiffness, and damping than a single-bumped AFB in a heavily loaded condition.