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PROCEEDINGS OF THE ELEVENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING
Edited by: B.H.V. Topping
Analysis of Laminated Cylindrical Shells with Piezoelectric Layers using the Layerwise Finite Element Method
M. Shakeri1, M.R. Saviz1 and M.H. Yas2
1Department of Mechanical Engineering, Amirkabir university of Technology, Tehran, Iran
M. Shakeri, M.R. Saviz, M.H. Yas, "Analysis of Laminated Cylindrical Shells with Piezoelectric Layers using the Layerwise Finite Element Method", in B.H.V. Topping, (Editor), "Proceedings of the Eleventh International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 126, 2007. doi:10.4203/ccp.86.126
Keywords: piezoelectric, sensor, composite shell, layerwise theory, finite element method.
The lightweight high-modulus laminated shells of revolution have found extensive applications. Accurate prediction of their behavior demands numerical tools for calculating the displacement and stress field in these structures.
The static solution for finite thick laminated cylindrical shell with piezoelectric actuator and sensor layers, based on three-dimensional elasticity approach was presented by Shakeri et al. . The dynamic analysis of laminated panel with piezoelectric layer was presented by Shakeri et al. . Recently a layered cylindrical shell with piezoelectric layers, subjected to static local ring load has been studied .
In the present paper the layerwise method is demonstrated for the static analysis of simply-supported, thick laminated cylindrical composite shell bonded with piezoelectric layer. The quadratic approximation of the displacement and electric potential in the thickness direction is considered. The 3-D governing variational equations are reduced to 2-D differential equations. The resulting equations are solved with finite element method. The numerical results are verified with closed-form solutions for three benchmark problems. The results are compared with those of 3D-elasticity conducted by the authors.
This study illustrates the effect of the laminate thickness ratio and piezoelectric coupling on static behaviour. Correlations of results with existing exact and elasticity solutions demonstrate the accuracy and versatility of developed formulations for analysis of stress, displacements and electric potential. It is proved that layerwise formulation works very well and result are compatible with the 3D-elasticity solution. The layerwise method is recommended for analysis of piezo-elastic behaviour of shells even for thick laminated structures. Since a comprehensive and exact study of active piezoelectric structures is still unavailable, the present work provides an enhanced insight to the mechanical and electric behaviour of this type of smart structure.
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