• Structural Engineering and Mechanics
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• 제20권2호
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• pp.143-160
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• 2005

Modal analysis of cracked cantilever composite beams, made of graphite-fibre reinforced polyamide, is studied. By using the finite element and component mode synthesis methods, a numeric model applicable to investigate the vibration of cracked composite beams is developed. In this new approach, from the crack section, the composite beam separated into two parts coupled by a flexibility matrix taking into account the interaction forces. These forces are derived from the fracture mechanics theory as the inverse of the compliance matrix calculated with the proper stress intensity factors and strain energy release rate expressions. Numerical results are obtained for modal analysis of composite beams with a transverse non-propagating open crack, addressing the effects of the location and depth of the crack, and the volume fraction and orientation of the fibre on the natural frequencies and mode shapes. By means of modal data, the position and dimension of the defect can be found. The results of the study confirmed that presented method is suitable for the vibration analysis of cracked cantilever composite beams. Present technique can be easily extended to composite plates and shells.

• Journal of Advanced Marine Engineering and Technology
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• 제18권2호
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• pp.41-53
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• 1994

In this paper, rotating-bending fatigue tests of the SiC-whisker- reinforced 6061-T6 aluminum alloy and 6061-T6 alumiunm alloy made by power metallurgy were carried out to investigate the fatigue characteristics of plain and notched specimens at room temperature. The fatigue mechnisms in both materials were clarified through successive surface observations using the plastic replica method. In the case of the SiC-whisker-reinforced composites, there are whisker rich and poor zones and the fatigue crack is nucleated from the end of whiskers near the boundary. On the other hand, in the case of the 6061-T6 aluminum alloy, the fatigue crack is nucleated from defects and propagates by shear. Moreover, the results were discussed based on linear notch mechanics.

• 한국복합재료학회:학술대회논문집
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• 한국복합재료학회 1999년도 추계학술발표대회 논문집
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• pp.5-14
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• 1999

Free vibration characteristics of a cantilevered laminated composite beam with multiple non-propagating transverse open cracks 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 multiple open cracks are modelled as equivalent rotational springs whose spring constants are calculated based on the fracture mechanics of composite material structures. Governing equations of a composite beam with open cracks are derived via Hamilton's Principle and Timoshenko beam theory encompassing transverse shear and rotary inertia effect is adopted. The effects of various parameters such as the ply angle, fiber volume fraction, crack numbers, crack positions and crack depthes on the free vibration characteristics of the beam with multiple cracks are highlighted. The numerical results show that the existence of the multiple cracks in an anisotropic composite beam affects the free vibration characteristics in a more complex fashion compared with the beam with a single crack.

• Computers and Concrete
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• 제2권6호
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• pp.481-498
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• 2005

A wavelet based approach is proposed for structural damage detection in beams, plate and delamination of composite plates. Wavelet theory is applied here for crack identification of a beam element with a transverse on edge non-propagating open crack. Finite difference method was used for generating a general displacement equation for the cracked beam in the first example. In the second and third example, damage is detected from the deformed shape of a loaded simply supported plate applying the wavelet theory. Delamination in composite plate is identified using wavelet theory in the fourth example. The main concept used is the breaking down of the dynamic signal of a structural response into a series of local basis function called wavelets, so as to detect the special characteristics of the structure by scaling and transformation property of wavelets. In the light of the results obtained, limitations of the proposed method as well as suggestions for future work are presented. Results show great promise of wavelet approach for damage detection and structural health monitoring.

• 기계저널
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• 제31권8호
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• pp.735-744
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• 1991

확산모델과 파모델의 결과에 있어 큰 차이가 일어나는 경우를 요약하면 다음과 같다. 1) 과도기 간이 짧다. 2) 작동온도가 아주 낮다. 3) 온도구배가 상당히 크다. 이때3)의 경우는 서로 다른 물질들이 접촉된 경우 또는 높은 열유속이 있는 경우 또는 얇은 표면층 등을 갖는 문제들의 공 통적인 특징이다. Non-Fourier 열전도 문제를 이용해 온도 분포를 예측해야 하는 실제적인 몇 가지 예를 살펴 보면 레이저 기술 또는 절대온도 영(zero)에 접근하는 온도에서의 액체 헬륨을 다루는 저온공학연구 또는 1/$10^{6}$Inch 정도의 표면조도가 관심사인 정밀공학 등을 들 수 있다. 또한 상당히 높은 강도의 열원이 작용될 때 고체에서의 크랙이나 보이드(void) 같은 국소 결함은 확산거동이 나타나기에 요구되는 시간보다 짧은 시간 구간에서 발생되어질 수 있으며, 크랙발생의 방향과 같은 것들은 hyperbolic 모델에의해 예측되어져야만 한다. 특히 움직이는 열원 또는 propagating crack tip을 갖는 경우에 그들 주위에서의 온도장을 규정짓는 가장 중요한 변 수는 열마하수 M이며, 아음속에서 초음속 영역으로 천이될 때 물리적 양들의 변화에 있어서 일어나는 현상들은 열충격의 형성에 기인하는데 이러한 현상들은 확산 모델로서는 예측될 수 없는 특징들이다. 이상에서 살펴볼 때 non-Fourier 모델에 대해 관심을 기울일 필요가 있다고 사료된다.

• 비파괴검사학회지
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• 제27권6호
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• pp.582-590
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• 2007

Imperfectly jointed interface serves as mechanical waveguide for elastic waves and gives rise to two distinct kinds of guided wave propagating along the interface. Contact acoustic nonlinearity (CAN) is known to plays major role in the generation of these interface waves called generalized Rayleigh waves in non-welded interface. Closed crack is modeled as non-welded interface that has nonlinear discontinuity condition in displacement across its boundary. Mathematical analysis of boundary conditions and wave equation is conducted to investigate the dispersive characteristics of the interface waves. Existence of the generalized Rayleigh wave(interface wave) in nonlinear contact interface is verified in theory where the dispersion equation for the interface wave is formulated and analyzed. It reveals that the interface waves have two distinct modes and that the phase velocity of anti-symmetric wave mode is highly dependent on contact conditions represented by linear and nonlinear dimensionless specific stiffness.

• Composites Research
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• 제13권3호
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• pp.9-20
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• 2000

모든 층을 한 방향으로 적층하여 횡방향 굽힘과 축방향 인장운동이 연성되어 나타나는 복합재료 외팔보에 다중횡방향 개구형 크랙이 있는 경우에 대하여 자유진동 특성을 고찰하였다. 모든 크랙 위치에서의 파괴역학적 특성을 스프링 상수로 변환하여 산출하고 크랙사이 구간의 보를 전단변형 및 회전관성효과를 포함하여 해밀톤 원리로부터 운동방정식 및 경계조건을 유도하고, 라플라스 변환법을 사용하여 자유진동 특성에 관한 해를 구하였다. 복합재료의 설계 변수로서 섬유 체적비와 적층각을 설정하였으며, 크랙의 외형적 변수로서 크랙의 갯수, 분포 위치 및 크랙 깊이를 설정하여 이들 변수에 대한 고유진동수 및 모드형상의 변화 경향을 도출함으로써 임의의 다수 크랙이 분포되어 있는 보다 실제적인 상황에서의 진동변화에 근거를 둔 비파괴 검사가 이루어질 수 있는 방안에 대하여 연구하였다. 해석 결과 복합재료 보에 단일 크랙이 있는 경우에 비해 다중 크랙이 있는 경우가 여러 가지 변수에 대해 훨씬 복잡한 형태로 나타나고 있음을 보여준다.