Computational Technology Resources - CCP

Keywords: piezoelectric, sensor, composite shell, layerwise theory, finite element method.

Summary

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. [1]. The dynamic analysis of laminated panel with piezoelectric layer was presented by Shakeri et al. [2]. Recently a layered cylindrical shell with piezoelectric layers, subjected to static local ring load has been studied [3].

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.

References

1: Shakeri M., Yas M.H. and Saviz M.R., "Elasticity solution for laminated cylindrical shell with piezoelectric layer", ICRACM-9 Conf. Varanasi. India, PP. 158, 2004.
2: Shakeri. M., Eslami M.R. and Daneshmehr A., "Dynamic analysis of thick laminated shell panel with piezoelectric layer based on three dimensional elasticity solution", Accepted for publication in Computers and Structures Int. Journal, 2006. doi:10.1016/j.compstruc.2006.01.039
3: Shakeri M., Yas M.H. and Saviz M.R., "Elasticity solution for laminated cylindrical shell with piezoelectric layer under local ring load", J. Key Engng. Mat., Vol. 334, PP. 917, 2007.

purchase the full-text of this paper (price £20)

go to the previous paper
go to the next paper
return to the table of contents
return to the book description
purchase this book (price £120 +P&P)

	Computational & Technology Resources an online resource for computational, engineering & technology publications
	not logged in - login
Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 86 PROCEEDINGS OF THE ELEVENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING Edited by: B.H.V. Topping Paper 126 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 ²Department of Mechanical Engineering, Razi University, Kermanshah, Iran doi:10.4203/ccp.86.126 purchase the full-text of this paper Full Bibliographic Reference for this paper 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. Summary 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. [1]. The dynamic analysis of laminated panel with piezoelectric layer was presented by Shakeri et al. [2]. Recently a layered cylindrical shell with piezoelectric layers, subjected to static local ring load has been studied [3]. 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. References 1 Shakeri M., Yas M.H. and Saviz M.R., "Elasticity solution for laminated cylindrical shell with piezoelectric layer", ICRACM-9 Conf. Varanasi. India, PP. 158, 2004. 2 Shakeri. M., Eslami M.R. and Daneshmehr A., "Dynamic analysis of thick laminated shell panel with piezoelectric layer based on three dimensional elasticity solution", Accepted for publication in Computers and Structures Int. Journal, 2006. doi:10.1016/j.compstruc.2006.01.039 3 Shakeri M., Yas M.H. and Saviz M.R., "Elasticity solution for laminated cylindrical shell with piezoelectric layer under local ring load", J. Key Engng. Mat., Vol. 334, PP. 917, 2007. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £120 +P&P)
Back to top	©Civil-Comp Limited 2023 - terms & conditions