Free vibration analysis of short fiber reinforced laminated plates with first shear deformation theory


Abstract: Vibration analysis of simply supported square laminated plates containing randomly and unidirectionally aligned short fibers was performed. The effective elastic modulus of composite was expressed by using the Mori-Tanaka mean field approach. The results were compared with the rule of mixture and Hashin bounds. The governing equations were obtained by means of Hamilton's principle and solved by using the Navier type solution and Ritz method. The effects of the fiber orientation, the degree of orthotropy, the fiber aspect ratio, the plate span to thickness ratio, and the fiber volume fraction on the vibration behavior of the laminated plates were studied. The mode frequency results are compared with results of the finite element model. It is observed that for increasing degree of orthotropy, the difference between the frequency parameters increases for increasing aspect ratio. The mode frequency results show that for larger aspect ratios, the frequencies for short fibers approach those of continuous fibers.

Keywords: Free vibration, composite plate, short fibers, effective moduli, Mori-Tanaka theory, mode shapes

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