Natural Frequencies and Mode Shapes of Laminated Composite Skew Hypar Shells with Complicated Boundary Conditions Using Finite Element Method

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In the present investigation, free vibration behaviour is studied for the laminated composite skew hypar shells having twist radius of curvature. A higher-order shear deformation theory is employed in the C0 finite element formulation. Higher-order terms in the Taylor’s series expansion are used to represent the higher-order transverse cross sectional deformation modes. The formulation includes Sanders’ approximation for doubly curved shells considering the effect of transverse shear. The structural system is considered to be undamped. The correctness of the formulation is established by comparing the present results of problems with those available in the published literature. The effects of different parameters are studied on the free vibration aspects of laminated composite skew hypar shells. Effect of cross curvature is included in the formulation. The C0 finite element formulation has been done quite efficiently to overcome the problem of C1 continuity associated with the HSDT. The isoparametric FE used in the present model consists of nine nodes with seven nodal unknowns per node. Since there is no result available in the literature based on HSDT on the problem of free vibration of laminated composite skew hypar shells, new results are presented by varying geometry, boundary conditions, ply orientations and skew angles which will serve as benchmark for future researchers.

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Edited by:

B.S.S. Daniel and G.P. Chaudhari

Pages:

44-48

Citation:

A. Kumar et al., "Natural Frequencies and Mode Shapes of Laminated Composite Skew Hypar Shells with Complicated Boundary Conditions Using Finite Element Method", Advanced Materials Research, Vol. 585, pp. 44-48, 2012

Online since:

November 2012

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$38.00

[1] W. Han, S.M. Dickinson, Free vibration of symmetrically laminated skew plates, J Sound Vib. 208 (1997) 367-390.

DOI: https://doi.org/10.1006/jsvi.1997.1198

[2] A.R. Krishna Reddy, R. Palaminathan, Free vibration of skew laminates, Comput Struct. 70 (1999) 415-423.

[3] D. Chakravorty, J. N. Bandyopadhyay, P. K. Sinha, Applications of FEM on free and forced vibrations of laminated shells, J Eng Mech-ASCE. 124 (1998) 1–8.

[4] S. Sahoo, D. Chakravorty, Finite element vibration characteristics of composite hypar shallow shells with various edge supports, J Vib Control. 11 (2005) 1291–1309.

DOI: https://doi.org/10.1177/1077546305057260

[5] J.N. Reddy, C.F. Liu, A higher-order shear deformation theory of laminated elastic shells, Int J Eng Sci. 23 (1985) 319-330.

DOI: https://doi.org/10.1016/0020-7225(85)90051-5

[6] K. M. Liew and C. W. Lim, A Higher-order Theory for Vibration of Doubly Curved Shallow Shells, J Appl Mech. 63 (1996) 587–593.

DOI: https://doi.org/10.1115/1.2823338

[7] A. Bhimaraddi, A Higher Order Theory for Free Vibration Analysis of Circular Cylindrical Shells, Int J Solids Struct. 20 (1984) 623–630.

DOI: https://doi.org/10.1016/0020-7683(84)90019-2

[8] J.S. Moita, C.M.M. Soares and C.A.M. Soares, Buckling and Dynamic Behavior of Laminated Composite Structures Using a Discrete Higher-order Displacement Model, Comput Struct. 73 (1999) 407–423.

DOI: https://doi.org/10.1016/s0045-7949(98)00270-3

[9] R.K. Khare, T. Kant and A.K. Garg, Free Vibration of Composite and Sandwich Laminates with a Higher-order Facet Shell Element, Compos Struct. 65 (2004) 405–418.

DOI: https://doi.org/10.1016/j.compstruct.2003.12.003

[10] S. Pradyumna and J.N. Bandyopadhyay, Static and free vibration analyses of laminated shells using a higher-order theory, J Reinf Plast Comp. 27 (2008) 167-186.