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Vibration Analysis of Laminated Composite Beam with Transverse Cracks

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Advances in Structural Engineering

Abstract

The present study deals with the effect of transverse cracks on the dynamical characteristics of laminated composite beam based on first order shear deformation theory (FSDT) is investigated. The cracks formulation is 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. The various parameters such as fiber orientation, volume fraction of fiber, crack depth and crack location in the presence of cracks on the natural frequency are studied in detail. The frequencies of vibration of a cracked beam is computed and compares with the results of other investigators. A program is developed in MATLAB environment to study the effects of various parameters on the natural frequencies of composite beam with transverse cracks.

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References

  1. Krawczuk M, Ostachowicz W, Zak A (1997) Modal analysis of cracked unidirectional composite beam. Compos B 28:641–650

    Article  Google Scholar 

  2. Song O, Ha T, Librescu L (2003) Dynamics of anisotropic composite cantilevers weakened by multiple transverse open cracks. Eng Fract Mech 70:105–123

    Article  Google Scholar 

  3. Wang K, Inman DJ, Farrar CR (2005) Modeling and analysis of a cracked composite cantilever vibrating in coupled bending and torsion. J Sound Vib 284:23–49

    Article  Google Scholar 

  4. Sridhar R, Chakraborty A, Gopalakrishnan S (2006) Wave propagation analysis in anisotropic and inhomogeneous uncracked and cracked structures using pseudospectral finite element method. Int J Solids Struct 43(16):4997–5031

    Article  MATH  Google Scholar 

  5. Kumar TS, Rao KD, Sarcar MMM, Rao BSKS (2013) Free vibration analysis of a cracked composite beam. Adv Mater Manuf Charact 3:459–463

    Google Scholar 

  6. Ghoneam SM (1995) Dynamic analysis of open cracked laminated composite beam. Compos Struct 32:3–11

    Article  Google Scholar 

  7. Sung SK, Kim JH (2003) Rotating composite beam with breathing crack. Compos Struct 60:83–90

    Article  Google Scholar 

  8. Kisa M (1998) Free vibration analysis of a cantilever composite beam with multiple cracks. Compos Sci Technol 67(4):215–223

    MATH  Google Scholar 

  9. Loya JA, Rubio L, Fernández-Sáez J (2006) Natural frequencies for bending vibrations of Timoshenko cracked beams. J Sound Vib 290:640–653

    Google Scholar 

  10. Krawczuk M (1994) A new finite element for the static and dynamic analysis of cracked composite beams. Comput Struct 52(3):551–561

    Article  MATH  Google Scholar 

  11. Krawczuk M, Ostachowicz W (1995) Modelling and vibration analysis of a cantilever composite beam with a transverse open crack. J Sound Vib 183(1):69–89

    Article  MATH  Google Scholar 

  12. Tada H, Paris PC, Irwin GR (2000) The stress analysis of cracks handbook, 3rd edn. ASME Press, New York

    Google Scholar 

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Correspondence to S. K. Sahu .

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© 2015 Springer India

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Behera, S., Sahu, S.K., Asha, A.V. (2015). Vibration Analysis of Laminated Composite Beam with Transverse Cracks. In: Matsagar, V. (eds) Advances in Structural Engineering. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2190-6_7

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  • DOI: https://doi.org/10.1007/978-81-322-2190-6_7

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  • Publisher Name: Springer, New Delhi

  • Print ISBN: 978-81-322-2189-0

  • Online ISBN: 978-81-322-2190-6

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