• 제목/요약/키워드: laminated beams

검색결과 133건 처리시간 0.026초

유한 요소법에 의한 적층 복합 보의 충격 해석 (Impact analysis of a liminated composite beam by the finite element method)

  • 안국찬;김문생;김규남
    • 대한기계학회논문집
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    • 제12권4호
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    • pp.652-661
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    • 1988
  • 본 연구에서는 이질, 이방성 적층 복합보(beam)의 이론적 충격 응답을 해석하 기 위하여 Sun의 고차 보 유한 요소 이론을 복합 재료 이론과 식(1)~식(3)의 접촉 법 칙을 고려하여 수정하였고, 이 중 충격 접촉력에 관하여는 각각 [90˚/45˚/90˚/-45˚ /90˚]$_{2S}$와[0˚/45˚/0˚/-45˚/0˚]$_{2S}$의 두 적층 형태를 가지는 흑연/에폭 시와 유리/에폭시 복합 재료에 대한 강구(steel ball)에 의한 충격해석을 하여, Yang 의 식에 의한 최대 접촉력과 비교 검토하였고, 다음 변형율 파형을 파동 전파(wave propagation)이론에 의해 비교 검토하므로써 이 수정된 이론의 타당성을 입증하였다.하였다.

GFRP적층판을 활용한 보강보부재와 원통형 단판적층기둥재 접합부의 내력 성능평가 (Structural Performance of Joints for Partial Reinforced Beam Using GFRP Laminated Plate and Cylindrical Reinforced LVL Column)

  • 송요진;정홍주;이정재;서진석;박상범;홍순일
    • Journal of the Korean Wood Science and Technology
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    • 제42권3호
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    • pp.282-289
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    • 2014
  • 합판과 유리섬유강화플라스틱을 조합하여 적층 후 $1.96N/mm^2$의 압력으로 $150^{\circ}C$에서 1시간 고밀화시킨 유리섬유 강화플라스틱 적층판을 제작하였다. 제작된 5가지의 유리섬유강화플라스틱 적층판을 각각 기둥재와 접하는 집성재에 부착하여 부분보강보부재를 제작하였다. 더불어 합판과 시트형 유리섬유강화플라스틱을 적층한 보강적층목재핀과 유리섬유로 보강한 원통형 단판적층기둥재로 기둥-보 접합부를 제작하였다. 기준시험편으로는 원주목과 집성재로 제작한 보부재, 드리프트핀을 사용한 접합부를 제작하여 모멘트 저항 내력을 평가하였다. 시험결과 기준시험편과 비교하여 부분보강보부재를 사용한 시험체들이 평균 1.8배 높은 내력성능이 측정되었다. 모든 부분보강보부재와 원통형 단판적층기둥재에는 파단이 발생하지 않았으며 접합부의 인성과 강성이 모두 양호하게 측정되었다. 부분보강보부재의 보강효과는 시트형 유리섬유강화플라스틱이 직물형 유리섬유강화플라스틱으로 보강한 적층판보다 양호한 보강효과를 보였으며, 시트형 유리섬유강화플라스틱을 각층에 삽입한 적층판이 접합내력과 변형각 모두 양호하여 보부재의 부분보강에 적합한 것을 확인하였다.

Flapwise Bending Vibration Analysis of Rotating Composite Cantilever Beams

  • Lee, Seung-Hyun;Shin, Sang-Ha;Yoo, Hong-Hee
    • Journal of Mechanical Science and Technology
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    • 제18권2호
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    • pp.240-245
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    • 2004
  • A modeling method for the modal analysis of a rotating composite cantilever beam is presented in this paper. Linear differential equations of motion are derived using the assumed mode method. For the modeling, hybrid deformation variables are employed and approximated to derive the equations of motion. Symmetrical laminated composite beams are considered to obtain the numerical results. The effects of the dimensionless angular velocity, the hub radius and the fiber orientation angle on the variations of modal characteristics are investigated.

Detecting width-wise partial delamination in the composite beam using generalized fractal dimension

  • Kumar, S. Keshava;Ganguli, Ranjan;Harursampath, Dineshkumar
    • Smart Structures and Systems
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    • 제19권1호
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    • pp.91-103
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    • 2017
  • Generalized fractal dimension is used to detect the presence of partial delamination in a composite laminated beam. The effect of boundary conditions and location of delamination on the fractal dimension curve is studied. Appropriability of higher mode shape data for detection of delamination in the beam is evaluated. It is shown that fractal dimension measure can be used to detect the presence of partial delamination in composite beams. It is found that the torsional mode shape is well suited for delamination detection in beams. First natural frequency of delaminated beam is found to be higher than the healthy beam for certain small and partial width delaminations and some boundary conditions. An explanation towards this counter intuitive phenomenon is provided.

적층보의 박리좌굴에 관한 해석적 연구 (Analytical Study of Delamination Buckling in Laminated Beams)

  • 김영찬
    • 한국강구조학회 논문집
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    • 제8권4호통권29호
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    • pp.51-58
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    • 1996
  • 연직하중을 받는 적층보에서 박리좌굴하중을 산정하는 방법을 제시하였다. 재료역학적 방법에 근거하여 박리된 보의 변위함수를 설정하였으며 힘과 변위의 적합조건을 이용하여 연직하중과 박리좌굴하중과의 관계식을 유도하였다. 또한 박리의 진전을 판단하기 위한 변형도에너지 방출율(release rate)을 산정하였다. FRP로 보강된 GLULAM보에 대한 실험과 비교한 이론해는 정확한 결과를 보여 주었으며 연직하중을 받는 적층보의 박리 진전현상은 축하중을 받는 보와는 다른 거동을 보였다.

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On the static and dynamic stability of beams with an axial piezoelectric actuation

  • Zehetner, C.;Irschik, H.
    • Smart Structures and Systems
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    • 제4권1호
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    • pp.67-84
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    • 2008
  • The present contribution is concerned with the static and dynamic stability of a piezo-laminated Bernoulli-Euler beam subjected to an axial compressive force. Recently, an inconsistent derivation of the equations of motions of such a smart structural system has been presented in the literature, where it has been claimed, that an axial piezoelectric actuation can be used to control its stability. The main scope of the present paper is to show that this unfortunately is impossible. We present a consistent theory for composite beams in plane bending. Using an exact description of the kinematics of the beam axis, together with the Bernoulli-Euler assumptions, we obtain a single-layer theory capable of taking into account the effects of piezoelectric actuation and buckling. The assumption of an inextensible beam axis, which is frequently used in the literature, is discussed afterwards. We show that the cited inconsistent beam model is due to inadmissible mixing of the assumptions of an inextensible beam axis and a vanishing axial displacement, leading to the erroneous result that the stability might be enhanced by an axial piezoelectric actuation. Our analytical formulations for simply supported Bernoulli-Euler type beams are verified by means of three-dimensional finite element computations performed with ABAQUS.

크랙이 존재하는 복합재료 보의 동적 특성 연구 (A Study on the Dynamic Characteristics of a Composite Beam with a Transverse Open Crack)

  • 하태완;송오섭
    • 소음진동
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    • 제9권5호
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    • pp.1019-1028
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    • 1999
  • Free vibration characteristics of cantilevered laminated composite beams with a transverse non0propagating open carck are investigated. In the present analysis a special ply-angle distribution referred to as asymmetric stiffness configuration inducing the elastic coupling between chord-wise bending and extension is considered. The open crack is modelled as an equivalent rotational spring whose spring constant is calculated on the basis of fracture mechanics of composite material structures. Governing equations of a composite beam with a open crack are derived via Hamilton's Principle and Timoshenko beam theory encompassing transverse shear and rotary inertia effect. the effects of various parameters such as the ply angle, fiber volume fraction, crack depth, crack position and transverse shear on the free vibration characteristics of the beam with a crack is highlighted. The numerical results show that the natural frequencies obtained from Timoshenko beam theory are always lower than those from Euler beam theory. The presence of intrinsic cracks in anisotropic composite beams modifies the flexibility and in turn free vibration characteristics of the structures. It is revealed that non-destructive crack detection is possible by analyzing the free vibration responses of a cracked beam.

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다양한 경계조건을 갖는 복합적층판의 정확한 고유진동수를 얻기 위한 간편 해석법 (A Simple Method of Obtaining "Exact" Values of the Natural Frequencies of Vibration for Some Composite Laminated Structures with Various Boundary Condition)

  • 김덕현;원치문;이정호
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2001년도 추계학술발표대회 논문집
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    • pp.9-12
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    • 2001
  • Composite materials can be used economically and efficiently in broad civil engineering applications when standards and processes for analysis, design, fabrication, construction and quality control are established. Many of the bridge systems, including the girders and cross-beams, and concrete decks behave as the special othotropic plates. Such systems with boundary conditions other than Navier or Levy solution types, or with irregular cross sections, analytical solution is very difficult to obtain. Numerical method for eigenvalue problems are also very much involved in seeking such a solution. A method of calculating the natural frequency corresponding to the first mode of vibration of beam and tower structures with irregular cross-sections was developed and reported by the author in 1974 Recently, this method was extended to two dimensional problems including composite laminates, and has been applied to composite plates with various boundary conditions with/without shear deformation effects and reported at several international conferences including the Eighth Structures Congress of American Society of Civil Engineers in 1990. In this paper, the result of application of this method to the special orthotropic plates with various boundary condition is presented.

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A new hybrid vibration control methodology using a combination of magnetostrictive and hard damping alloys

  • Buravalla, Vidyashankar R.;Bhattacharya, Bishakh
    • Smart Structures and Systems
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    • 제3권4호
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    • pp.405-422
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    • 2007
  • A new hybrid damping technique for vibration reduction in flexible structures, wherein a combination of layers of hard passive damping alloys and active (smart) magnetostrictive material is used to reduce vibrations, is proposed. While most conventional vibration control treatments are based exclusively on either passive or active based systems, this technique aims to combine the advantages of these systems and simultaneously, to overcome the inherent disadvantages in the individual systems. Two types of combined damping systems are idealized and studied here, viz., the Noninteractive system and the Interactive system. Frequency domain studies are carried out to investigate their performance. Finite element simulations using previously developed smart beam elements are carried out on typical metallic and laminated composite cantilever beams treated with hybrid damping. The influence of various parameters like excitation levels, frequency (mode) and control gain on the damping performance is investigated. It is shown that the proposed system could be used effectively to dampen the structural vibration over a wide frequency range. The interaction between the active and passive damping layers is brought out by a comparative study of the combined systems. Illustrative comparisons with 'only passive' and 'only active' damping schemes are also made. The influence and the mode dependence of control gain in a hybrid system is clearly illustrated. This study also demonstrates the significance and the exploitation of strain dependency of passive damping on the overall damping of the hybrid system. Further, the influence of the depthwise location of damping layers in laminated structures is also investigated.

Vibration-based delamination detection of composites using modal data and experience-based learning algorithm

  • Luo, Weili;Wang, Hui;Li, Yadong;Liang, Xing;Zheng, Tongyi
    • Steel and Composite Structures
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    • 제42권5호
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    • pp.685-697
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    • 2022
  • In this paper, a vibration-based method using the change ratios of modal data and the experience-based learning algorithm is presented for quantifying the position, size, and interface layer of delamination in laminated composites. Three types of objective functions are examined and compared, including the ones using frequency changes only, mode shape changes only, and their combination. A fine three-dimensional FE model with constraint equations is utilized to extract modal data. A series of numerical experiments is carried out on an eight-layer quasi-isotropic symmetric (0/-45/45/90)s composited beam for investigating the influence of the objective function, the number of modal data, the noise level, and the optimization algorithms. Numerical results confirm that the frequency-and-mode-shape-changes-based technique yields excellent results in all the three delamination variables of the composites and the addition of mode shape information greatly improves the accuracy of interface layer prediction. Moreover, the EBL outperforms the other three state-of-the-art optimization algorithms for vibration-based delamination detection of composites. A laboratory test on six CFRP beams validates the frequency-and-mode-shape-changes-based technique and confirms again its superiority for delamination detection of composites.