Effect of Thickness Stretching on the Natural Frequencies of Laminate-Faced Sandwich Plates Using a New Layerwise Model

MO Belarbi, A Tati, A Khechai



The current work investigates the effect of thickness stretching on the natural frequencies of laminate-faced sandwich plates using new layerwise finite element model. The proposed model assumes higher-order displacement field for the core and first-order displacement field for the face sheets. Thanks for enforcing the continuity of the interlaminar displacement, the number of variables is independent of the number of layers. The consistent mass matrix and the element stiffness matrix are derived using the Hamilton’s principle. The performance and reliability of the proposed formulation are demonstrated by comparing the author’s results with those obtained using the three-dimensional elasticity theory, analytical solutions and other advanced finite element models.

Full Text:



Araújo, A. L., Mota Soares, C. M., & Mota Soares, C. A. (2010). Finite element model for hybrid active-passive damping analysis of anisotropic laminated sandwich structures. Journal of Sandwich Structures & Materials, 12(4), 397-419.

Belarbi, M. O., & Tati, A. (2015). A new C0 finite element model for the analysis of sandwich plates using combined theories. International Journal of Structural Engineering, 6(3), 212-239.

Belarbi, M. O., & Tati, A. (2016). Bending Analysis of Composite Sandwich Plates with Laminated Face Sheets: New Finite Element Formulation. Journal of Solid Mechanics, 8(2), 280-299.

Belarbia, M. O., Tatib, A., Ounisc, H., & Benchabane, A. (2016). Development of a 2D isoparametric finite element model based on the layerwise approach for the bending analysis of sandwich plates. Structural Engineering and Mechanics, 57(3), 473-506.

Burlayenko, V. N., Altenbach, H., & Sadowski, T. (2015). An evaluation of displacement-based finite element models used for free vibration analysis of homogeneous and composite plates. Journal of Sound and Vibration, 358, 152-175.

Desai, Y. M., Ramtekkar, G. S., & Shah, A. H. (2003). Dynamic analysis of laminated composite plates using a layer-wise mixed finite element model. Composite structures, 59(2), 237-249.

Elmalich, D., & Rabinovitch, O. (2012). A high-order finite element for dynamic analysis of soft-core sandwich plates. Journal of Sandwich Structures & Materials, 14(5), 525-555.

Jam, J. E., Eftari, B., & Taghavian, S. H. (2010). A new improved high‐order theory for analysis of free vibration of sandwich panels. Polymer Composites, 31(12), 2042-2048.

Kant, T., & Swaminathan, K. (2001). Analytical solutions for free vibration of laminated composite and sandwich plates based on a higher-order refined theory. Composite structures, 53(1), 73-85.

Nabarrete, A., M. De Almeida, S. F., & Hansen, J. S. (2003). Sandwich-plate vibration analysis: three-layer quasi-three-dimensional finite element model. AIAA journal, 41(8), 1547-1555.

Pandey, S., & Pradyumna, S. (2015). A new C0 higher-order layerwise finite element formulation for the analysis of laminated and sandwich plates. Composite Structures, 131, 1-16.

Rahmani, O., Khalili, S. M. R., & Malekzadeh, K. (2010). Free vibration response of composite sandwich cylindrical shell with flexible core. Composite Structures, 92(5), 1269-1281.

Rao, M. K., Scherbatiuk, K., Desai, Y. M., & Shah, A. H. (2004). Natural vibrations of laminated and sandwich plates. Journal of Engineering Mechanics, 130(11), 1268-1278.

Zhen, W., Wanji, C., & Xiaohui, R. (2010). An accurate higher-order theory and C0 finite element for free vibration analysis of laminated composite and sandwich plates. Composite Structures, 92(6), 1299-1307.

Article views 222

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Civil Engineering and Architecture Faculty- University Amar Telidji of Laghouat JBMS@2019.