Free and forced vibration analysis of laminated composite plates and shells using a 9-node assumed strain shell element |
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Authors: | Won-Hong Lee Sung-Cheon Han |
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Affiliation: | (1) Department of Civil Engineering, Jinju National University, 150 Chilam-Dong, Jinju, 660-758, Korea;(2) Department of Civil Engineering, Daewon Science College, 599 Shinwol-Dong, Jecheon, 390-702, Korea |
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Abstract: | The natural frequencies of isotropic and composite laminates are presented. The forced vibration analysis of laminated composite plates and shells subjected to arbitrary loading is investigated. In order to overcome membrane and shear locking phenomena, the assumed natural strain method is used. To develop a laminated shell element for free and forced vibration analysis, the equivalent constitutive equation that makes the computation of composite structures efficient was applied. The Mindlin-Reissner theory which allows the shear deformation and rotary inertia effect to be considered is adopted for development of nine-node assumed strain shell element. The present shell element offers significant advantages since it consistently uses the natural co-ordinate system. Results of the present theory show good agreement with the 3-D elasticity and analytical solutions. In addition the effect of damping is investigated on the forced vibration analysis of laminated composite plates and shells. |
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Keywords: | Natural frequency Forced vibration analysis Locking Laminated composite plates and shells Nine-node shell element Assumed natural strain method |
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