Dynamic Analysis of Fiber Reinforced Composite Beam Containing a Transverse Crack
The present research article investigates the effect of a transverse crack on the flexural vibration of fiber reinforced composite beam based on Euler-Bernoulli beam theory. The presence of a crack in structural elements leads to an energy concentration n
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Abstract The present research article investigates the effect of a transverse crack on the flexural vibration of fiber reinforced composite beam based on Euler-Bernoulli beam theory. The presence of a crack in structural elements leads to an energy concentration near to crack’s region and introduce a local flexibility which affect its dynamic response. Linear fracture mechanic theory has been used for crack modeling by using the stress intensity factors expressions. A parametric study has carried out in order to investigate the influence of fiber orientation, crack depth and crack location on the natural frequencies and theirs corresponding shape modes. Keywords Flexural vibration
Cracks Composite beam Natural frequency
1 Introduction The Fiber-Reinforced composite materials have been attracted many engineering industry, such as aerospace, naval construction and civil building. The increasing of its using, due mainly to excellent various properties, including high stiffness, good resistance to environmental conditions and high fatigue strength. The Fiber-reinforced composite beams have used in the many structural elements, such as robot arms, rotating machine parts, and turbine blades. The presence of a crack in structural elements may affect its mechanical behavior and leads to damage failures. Due to this fact, many researchers have focused theirs investigations in the improvement of mechanical proprieties of these structures based on the study of cracks. Thus, the presence of cracks can introduce a local flexibility which has an influence on their dynamic characteristics. However, the evaluation of dynamical behavior of cracked structures can be used as indicator Y. Adjal (&) R. Benzidane Z. Sereir Laboratoire Structure en Composite et Matériaux Innovants – LSCMI, Faculté de Génie Mécanique, BP 1505, El M’Naouer, UST-MB, Oran, Algeria e-mail: [email protected] © Springer International Publishing Switzerland 2017 T. Boukharouba et al. (eds.), Applied Mechanics, Behavior of Materials, and Engineering Systems, Lecture Notes in Mechanical Engineering, DOI 10.1007/978-3-319-41468-3_14
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in the predicting of cracks. This research topic has been tackled in many research papers available at literature. The deriving of crack formulation was based on fracture mechanic theory including the stress intensity factors which considered as important parameters for identifying the flexibility matrix. Krawczuk [7] has determined the flexibility coefficients matrix of composite beam containing a single crack. According to literature, it can be found a range of analytical and numerical methods for studying the influence of cracks on dynamic characteristic of composite beam. Concerning the analytical methods, the works have done by Wang et al. [10] focused in the developing of a new mathematical model for evaluating the natural frequencies and theirs corresponding mode shapes of unidirectional cracked composite beam under coupled flexural–torsion vibrations. Semi-analytical method titled Generaliz
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