Free vibration analysis of laminated composite plates
- KEI Engineering, Ann Arbor, MI (United States)
- Marquette Univ., Milwaukee, WI (United States). Dept. of Industrial and Mechanical Engineering
In this investigation, a series of plate elements based on the modified complementary energy principle are developed to study the free undamped vibration response of laminated composite plates. Mindlin thin plate theory is selected to govern the general characteristics of these elements. The effect of the transverse shear deformation is taken into consideration in the current formulation, however, no shear correction factor is assumed in the formulation. A series of in-plant strain functions are assumed from which the corresponding in-plane stresses for each lamina are determined. After obtaining these stresses, the transverse stresses are computed by satisfying the equations of the equilibrium. Eight noded isoparametric elements are utilized to describe the displacement field. Each node has five degrees of freedom of which three are the mid-surface displacements and two are the independent cross sectional rotations. These hybrid plate elements are used to form the stiffness and the consistent mass matrices. The fundamental natural frequencies are then computed by solving the generalized eigenvalue problem.
- OSTI ID:
- 109707
- Report Number(s):
- CONF-950521--; ISBN 1-56676-313-4
- Country of Publication:
- United States
- Language:
- English
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