• 제목/요약/키워드: Beam deformation

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진동특성을 이용한 외팔보의 크랙 및 손상 검출에 대한 연구 (Study on Detection of Crack and Damage for Cantilever Beams Using Vibration Characteristics)

  • 손인수;안성진;윤한익
    • 한국소음진동공학회논문집
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    • 제19권9호
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    • pp.935-942
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    • 2009
  • In this paper, the purpose is to investigate the natural frequency of a cracked Timoshenko cantilever beams by FEM(finite element method) and experiment. In addition, a method for detection of crack in a cantilever beams is presented based on natural frequency measurements. The governing differential equations of a Timoshenko beam are derived via Hamilton's principle. The two coupled governing differential equations are reduced to one fourth order ordinary differential equation in terms of the flexural displacement. The crack is assumed to be in the first mode of fracture and to be always opened during the vibrations. The detection method of a crack location in a beam based on the frequency measurements is extended here to Timoshenko beams, taking the effects of both the shear deformation and the rotational inertia into account. The differences between the actual and predicted crack positions and sizes are less than 6 % and 23 % respectively.

Nonhomogeneous atherosclerotic plaque analysis via enhanced 1D structural models

  • Varello, Alberto;Carrera, Erasmo
    • Smart Structures and Systems
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    • 제13권4호
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    • pp.659-683
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    • 2014
  • The static analysis of structures with arbitrary cross-section geometry and material lamination via a refined one-dimensional (1D) approach is presented in this paper. Higher-order 1D models with a variable order of expansion for the displacement field are developed on the basis of Carrera Unified Formulation (CUF). Classical Euler-Bernoulli and Timoshenko beam theories are obtained as particular cases of the first-order model. Numerical results of displacement, strain and stress are provided by using the finite element method (FEM) along the longitudinal direction for different configurations in excellent agreement with three-dimensional (3D) finite element solutions. In particular, a layered thin-walled cylinder is considered as first assessment with a laminated conventional cross-section. An atherosclerotic plaque is introduced as a typical structure with arbitrary cross-section geometry and studied for both the homogeneous and nonhomogeneous material cases through the 1D variable kinematic models. The analyses highlight limitations of classical beam theories and the importance of higher-order terms in accurately detecting in-plane cross-section deformation without introducing additional numerical problems. Comparisons with 3D finite element solutions prove that 1D CUF provides remarkable three-dimensional accuracy in the analysis of even short and nonhomogeneous structures with arbitrary geometry through a significant reduction in computational cost.

유한 요소법과 부분 구조 합성법을 이용한 회전 디스크-스핀들 계의 진동 해석 (Vibration Analysis of Rotating Disk-Spindle System Using Finite Element Method and Substructure Synthesis)

  • 정명수;장건희
    • 대한기계학회논문집A
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    • 제24권9호
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    • pp.2201-2210
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    • 2000
  • Vibration of a rotating disk-spindle system is analyzed by using Hamilton's principle, FEM and substructure synthesis. A rotating disk undergoes the rigid body motion and the elastic deformation. It s equation of motion is derived by Kirchhoff plate theory and von Karman nonlinear strain. A rotating shaft is described by Rayleigh beam theory considering the axial rigid body motion. The stationay shaft supporting the rotating disk-spindle-bearing system is modeled by Euler beam theory, and the stiffness of ball bearing is determined by A.B.Jones' theory. FEM is used to solve the derived governing equations, and substructure synthesis is introduced to assemble each structure of the rotating disk-spindle system. The developed theory is applied to the spindle system of a 35' computer hard disk drive with 3 disks to verify the simulation results. The simulation results agree very well with the experimental ones. The proposed theory may be effectively expanded to the complex structure of a disk-spindle system.

수직면에서 작동하는 탄성 매니퓰레이터의 효율적인 제어에 관한 연구 (A Study on the efficient control of an elastic manipulator moving in a vertical plane)

  • 강준원;이중섭;권혁조;오재윤;정재욱
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1996년도 추계학술대회 논문집
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    • pp.318-322
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    • 1996
  • This paper presents a technique to control a robot which has a flexible manipulator moving in a vertical plane. The flexible manipulator is modeled as an Euler-Bernoulli beam. Elastic deformation is represented using the assumed modes method. A comparison function which satisfies all geometric and natural boundary conditions of a cantilever beam with an end mass is used as an assumed mode shape. Lagrange's equation is utilized for the development of a discretized model. A control algorithm is developed using a simple PID control technique. The proportional, integral and derivative control gains are determined based on the dominant pole placement method and tuned to show no overshoot and having a short settling time. The effectiveness of the developed control scheme is showed experimentally. In the position control experiment, three different end masses are used. The experimental results shows little overshoot, no steady state error, and less than 2.5 second settling time in case of having an end mass which is equivalent to 45% of the total system weight. Also the residual vibration of the end point is effectively controlled.

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Application of steel equivalent constitutive model for predicting seismic behavior of steel frame

  • Wang, Meng;Shi, Yongjiu;Wang, Yuanqing
    • Steel and Composite Structures
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    • 제19권5호
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    • pp.1055-1075
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    • 2015
  • In order to investigate the accuracy and applicability of steel equivalent constitutive model, the calculated results were compared with typical tests of steel frames under static and dynamic loading patterns firstly. Secondly, four widely used models for time history analysis of steel frames were compared to discuss the applicability and efficiency of different methods, including shell element model, multi-scale model, equivalent constitutive model (ECM) and traditional beam element model (especially bilinear model). Four-story steel frame models of above-mentioned finite element methods were established. The structural deformation, failure modes and the computational efficiency of different models were compared. Finally, the equivalent constitutive model was applied in seismic incremental dynamic analysis of a ten-floor steel frame and compared with the cyclic hardening model without considering damage and degradation. Meanwhile, the effects of damage and degradation on the seismic performance of steel frame were discussed in depth. The analysis results showed that: damages would lead to larger deformations. Therefore, when the calculated results of steel structures subjected to rare earthquake without considering damage were close to the collapse limit, the actual story drift of structure might already exceed the limit, leading to a certain security risk. ECM could simulate the damage and degradation behaviors of steel structures more accurately, and improve the calculation accuracy of traditional beam element model with acceptable computational efficiency.

홀로그래픽 간섭법을 이용한 편심하중에 의한 외팔보의 변형률분포 해석 (Strain analysis of cantilever beam under eccentric force using holographic interferometry)

  • 박승옥;김홍석;권혁홍;조동현
    • 한국광학회지
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    • 제8권1호
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    • pp.14-18
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    • 1997
  • 홀로그래픽 간섭법을 이용하여 외팔보에 편심하중이 가해졌을 때 발생되는 변형을 해석하였다. 물체에 휨(bending)과 미소한 비틀림(torsion)의 복합변형이 발생될 때 사선의 홀로그래픽 간섭무늬를 얻었으며, 간섭무늬 개수와 경사도를 이용하여 변위분포함수를 근사적으로 구하여 간편하게 변형률분포를 해석할 수 있는 방법을 제시하였다. 자유단 근처에서의 최대 휨량이 9.7.+-.0.6.mu.m일 때, 고정단 부근에서 수직변형률의 최대값 e$_{x}$는 약 1.0 * $10^{-6}$, e$_{y}$ 는 약 -0.3 * $10^{-6}$이고, 전단변형률은 약 1.3 * $10^{-6}$으로 측정되었다. 본 방법의 신뢰성을 확인하기 위하여 FEM으로 변위 및 변형률을 이론적으로 해석하여 실험결과와 비교해 보았다.다.

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Role of residual ferrites on crevice SCC of austenitic stainless steels in PWR water with high-dissolved oxygen

  • Sinjlawi, Abdullah;Chen, Junjie;Kim, Ho-Sub;Lee, Hyeon Bae;Jang, Changheui;Lee, Sanghoon
    • Nuclear Engineering and Technology
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    • 제52권11호
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    • pp.2552-2564
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    • 2020
  • The crevice stress corrosion cracking (SCC) susceptibility of austenitic stainless steels was evaluated in simulated pressurized water reactor (PWR) environments. To simulate the abnormal condition in temporary clamping devices on leaking small bore pipes, crevice bent beam (CBB) tests were performed in the oxygenated as well as hydrogenated conditions. No SCC cracks were found for SS316 in both conditions. SS304 also showed good resistance in the hydrogenated condition. However, all SS304 specimens showed SCC cracks in the oxygenated condition, indicating poor crevice SCC resistance. It was found that residual ferrites were selectively dissolved because of the galvanic corrosion coupled with the neigh-bouring austenite phase, resulting in SCC initiation in SS304. Crack morphologies were mostly transgranular assisted by the damaged δ-ferrite and deformation-induced slip bands.

개선된 엑세스 홀 형상을 갖는 WUF-W접합부의 실험을 통한 내진성능평가 (Experimental Evalutation of the Seismic Performance of WUF-W Moment Connections with a Modified Access Hole)

  • 한상환;정진;문기훈;김진원
    • 한국지진공학회논문집
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    • 제16권6호
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    • pp.21-28
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    • 2012
  • Welded Unreinforced Flange-Welded Web (WUF-W) connection is one of Special Moment Frame (SMF) specified in ANSI/AISC-358. From the experimental test of WUF-W connection specimens conducted by the previous study, fracture occurred in the beam flange before achieving total inter-story drift angle of 0.04radian required for Special Moment Frames (SMF) system even though the specimens satisfied the design and detailing requirement specified in ANSI/AISC-358. These results are estimated as problem of the access hole geometry. In this study, a full-scale WUF-W connection specimen was made with a modified access hole geometry, and tested with the same test setting and loading as the previous test. From test results, the deformation capacity of the tested WUF-W connection specimen exceeded 4%, which is required for connections in SMF system. Comparing with the WUF-W specimens of the previous study, the strain demand of the beam flange in the tested specimen was decreased and energy dissipation capacity of the specimen was improved.

Experimental and Measurement Methods for the Small-Scale Model Testing of Lateral and Torsional Stability

  • Lee, Jong-Han;Park, Yong Myung;Jung, Chi-Young;Kim, Jae-Bong
    • International Journal of Concrete Structures and Materials
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    • 제11권2호
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    • pp.377-389
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    • 2017
  • Tests of the lateral and torsional stability are quite sensitive to the experimental conditions, such as support conditions and loading system. Controlling all of these conditions in a full-size test is a very challenging task. Therefore, in this paper, an experimental measurement method that can control the experimental conditions using a small-scale model was proposed to evaluate the lateral and torsional stability of beams. For this, a loading system was provided to maintain the vertical direction of the load applied to the beam, and a support frame was produced to satisfy the in-plane and out-of-plane support conditions. The experimental method using a small-scale model was applied successively to the lateral and torsional behavior and stability of I-shaped beams. The proposed experimental methods, which effectively accommodate the changes in the geometry and length of the beam, could contribute to further experimental studies regarding the lateral and torsional stability of flexural members.

Experimental and Numerical Assessment of the Service Behaviour of an Innovative Long-Span Precast Roof Element

  • Lago, Bruno Dal
    • International Journal of Concrete Structures and Materials
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    • 제11권2호
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    • pp.261-273
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    • 2017
  • The control of the deformative behaviour of pre-stressed concrete roof elements for a satisfactory service performance is a main issue of their structural design. Slender light-weight wing-shaped roof elements, typical of the European heritage, are particularly sensitive to this problem. The paper presents the results of deformation measurements during storage and of both torsional-flexural and purely flexural load tests carried out on a full-scale 40.5 m long innovative wing-shaped roof element. An element-based simplified integral procedure that de-couples the evolution of the deflection profile with the progressive shortening of the beam is adopted to catch the experimental visco-elastic behaviour of the element and the predictions are compared with normative close-form solutions. A linear 3D fem model is developed to investigate the torsional-flexural behaviour of the member. A mechanical non-linear beam model is used to predict the purely flexural behaviour of the roof member in the pre- and post-cracking phases and to validate the loss prediction of the adopted procedure. Both experimental and numerical results highlight that the adopted analysis method is viable and sound for an accurate simulation of the service behaviour of precast roof elements.