Free Vibration Analysis of Composite Laminated Beams

Authors

  • Osama Mohammed Elmardi Suleiman Assistant Professors, Department of Mechanical Engineering, Faculty of Engineering and Technology, Nile Valley University, Atbara, River Nile State, Sudan
  • Ahmed F. A. Algarray Lecturer Department of Mechanical Engineering, Faculty of Engineering, Red Sea University, Port Sudan, Red Sea State, Sudan
  • Imad-Eldin Mahmoud Mahdi Imad-Eldin Mahmoud Mahdi Assistant Professors Department of Mechanical Engineering, Faculty of Engineering and Technology, Nile Valley University, Atbara, River Nile State, Sudan

DOI:

https://doi.org/10.7324/IJERAT.2017.3138

Keywords:

Laminated beam, finite element, shears deformation, natural frequencies, and free vibration.

Abstract

This study addresses the problem of free vibration of laminated composite beams. Six end boundary conditions for beams are considered: clamped-clamped; hinged-hinged; free-free; clamped-hinged; clamped-free; and hinged-free beams. The problem is analyzed and solved using the energy approach which is formulated by a finite element model. This method of analysis is verified by comparing the numerical results obtained for AS/3501-6 graphite/epoxy composites with those found in literature. The effects of the aspect ratio, fiber orientation, and the beam end-movements on the non-dimensional natural frequencies of beams were included. The results of the non- dimensional frequencies for some special cases of lamination were included. The mode shapes of free vibration for all boundary conditions were plotted. It was found that symmetrically  and anti-symmetrically  laminated beams of similar dimensions and end conditions have equal natural frequencies. The longitudinal modes of free vibration are sensitive to axial motion of the ends, whereas the transverse modes depend solely on the condition of the lateral supports. It was also found that natural frequencies decrease as the aspect ratio and/or the angle of orientation increase. The free-free and hinged-free beams are found to have the highest frequencies of all beams although they look less constrained.

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Published

2017-10-05

How to Cite

Free Vibration Analysis of Composite Laminated Beams. (2017). International Journal of Engineering Research and Advanced Technology (ijerat) (E-ISSN 2454-6135) , 3(10), 09-25. https://doi.org/10.7324/IJERAT.2017.3138