FREE VIBRATION ANALYSIS OF COMPOSITE LAMINATED PLATES USING HOST 12
Main Article Content
Abstract
This paper presents an application of a Higher Order Shear Deformation Theory (HOST 12) to problem
of free vibration of simply supported symmetric and antisymmetric angle-ply composite laminated plates.
The theoretical model HOST12 presented incorporates laminate deformations which account for the effects
of transverse shear deformation, transverse normal strain/stress and a nonlinear variation of in-plane
displacements with respect to the thickness coordinate – thus modeling the warping of transverse crosssections more accurately and eliminating the need for shear correction coefficients. Solutions are obtained in
closed-form using Navier’s technique by solving the eigenvalue equation. Plates with varying number of
layers, degrees of anisotropy and slenderness ratios are considered for analysis. The results compared with
those from exact analysis and various theories from references
Article Details
Section
How to Cite
References
• Bose P. & Reddy J. N., 1998,“ Analysis of Composite Plates Using Various Plate Theories. Part 1:Formulation and Analytical Solutions”, J. Structural Engineering and Mechanics, Vol. 6, No. 6, 583- 612,.
• Bose P.& Reddy J. N., 1998, “ Analysis of Composite Plates Using Various Plate Theories. Part 2: Finite Element Model and Numerical Results”, J. Structural Engineering and Mechanics, Vol. 6, No. 7, p.p. 727- 746,.
• Hildebrand FB, Reissner E, Thomas GB.,1949, "Note on the foundations of the theory of small displacements of orthotropic shells", NACA TN-1833.
• Kant T., 1982, "Numerical analysis of thick plates. Comput Methods", Appl Mech Eng,31,1–18. • Kant T., Manjunatha BS., 1988, "An unsymmetric FRC laminate C_ finite element model with twelve degrees of freedom per node", Eng Comput,5(3),300–8.
• Kant T., Swaminathan K., 2001,"Analytical solutions for free vibration of laminated composite and sandwich plates based on a higher order refined theory", Compos Struct,53(1),73–85.
• Kant T., Swaminathan K., 2002, "Analytical solutions for static analysis of laminated composite and sandwich plates based on a higher order refined theory", Compos Struct,56(4),329–44. Kant T., Mallikarjuna., 1989, "A higher order theory for free vibration of unsymmetrically laminated composite and sandwich plates – finite element evaluation", Comput Struct,32,1125–32.
• Kant T., Swaminathan K., 2001, "Estimation of transverse/interlaminar stresses in laminated composites – a selective review and survey of current developments", Compos Struct., 49(1), 65–75.
• Khdeir A. A., 1989, “ Comparison between Shear Deformation and Kirchhoff Theories for Bending, Buckling and Vibration of Antisymmetric Angle-Ply Laminated Plates ”, J. Composite Structures 13, 159-172.
• Mallikarjuna, Kant T., 1989, "Free vibration of symmetrically laminated plates using a higher order theory with finite element technique", Int J. Numer Methods Eng,28,1875–89.
• Mindlin RD., 1951, "Influence of rotary inertia and shear on flexural motions on isotropic, elastic plates", J Appl. Mech., 18,31–8.
• Pandya BN, Kant T., 1987, "A consistent refined theory for flexure of a symmetric laminate", Mech Res Commun,14,107–13.
• Pandya BN, Kant T., 1988, "Higher order shear deformable theories for flexure of sandwich plates – finite element evaluations", Int. J Solids Struct., 24(12),1267–86.
• Reddy JN., 1984, "A simple higher-order theory for laminated composite plates", JAppl Mech., 51, 745–52.
• Reddy JN, Phan ND., 1985, "Stability and vibration of isotropic, orthotropic and laminated plates according to higher order shear deformation theory", J Sound Vib.,98(2), 157–70.
• Reissner E., 1945, "The effect of transverse shear deformation on the bending of elastic plates", J Appl. Mech.,12(2), 69–77.
• Reissner E, Stavsky Y., 1961, "Bending and stretching of certain types of heterogeneous aelotropic elastic plates", J Appl Mech., 28, 402–8.
• Salam Ahmed A., 2008, "Dynamic Analysis of Composite Laminated Plates", M. Sc, Thesis.
• Swaminathan K, Patil SS., 2007, "Higher order refined computational model with 12 degrees of freedom for the stress analysis of antisymmetric angle ply plates– analytical solutions. Compos Struct. 80, 595–608.
• Swaminathan K. & Patil S.S., 2008," Analytical solutions using a higher order refined computational model with 12 degrees of freedom for the free vibration analysis of antisymmetric angle-ply plates", Compos Struct. 82, 209–216