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PVJAPRE11610 - AIAA JOURNAL Vol 31 No 4 April 1993...

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AIAA JOURNAL Vol. 31, No. 4, April 1993 Vibration and Damping Analysis of Composite Laminates Using Shear Def ormable Finite Element K. N. Koo* and I. Leet Korea Advanced Institute of Science and Technology* Taejon, Republic of Korea The effects of transverse shear deformation on the modal loss factors as well as the natural frequencies of composite laminated plates have been studied using the finite element method based on the shear deformable plate theory. The complex modulus of an orthotropic lamina is employed to model damping effect, and a modal approach to the resultant complex eigenvalue problem is introduced to save a considerable amount of computa- tion time. The present result gives a good agreement with the solution of the modal strain energy (MSE) method. The damping is very high when the composite laminated plates are subject to large transverse shear deformation as well as in-plane shear deformation. Nomenclature Ay = transverse shear stiffness a,b = lengths of plate in x and y directions, respectively Dy = bending stiffness E, G = elastic moduli h = thickness of laminate K, M = stiffness and mass matrices, respectively M y Q = resultant moment and shear force, respectively Qy - reduced stiffness q = generalized eigenvector t = thickness of
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