The magnitude of the first natural frequency is often used as a criterion of the design efficiency of sandwich panels. The vibrations of fully clamped sandwich plate are analyzed using Galerkin method. The effects of the panel dimensions, elastic properties and densities of the facings, and core on the fundamental frequency have been studied using the numerical solution, analytical approach, and finite element analysis. It follows from the analysis that the first natural frequency can be calculated with sufficient accuracy on the basis of the analytical solution developed in this work.
Yu, Y.Y. ( 1959). A New Theory of Elastic Sandwich Plates-one Dimensional Core, Journal of Applied Mechanics, 26: 415-421.
2.
Yu, Y.Y. ( 1959). Simple Thickness-shear Modes of Vibration of Infinite Sandwich Plates, Journal of Applied Mechanics, 26: 679-681.
3.
Yu, Y.Y. ( 1960). Flexural Vibrations of Elastic Sandwich Plates, Journal of Aerospace Sciences, 27: 272-282.
4.
Yu, Y.Y. ( 1960). Simplified Vibration Analysis of Elastic Sandwich Plates , Journal of Aerospace Sciences, 27: 894-900.
5.
Habip, L.M. ( 1965). A Survey of Modern Developments in the Analysis of Sandwich Structures, Applied Mechanics Reviews, 18: 93-98.
6.
Yu, Y.Y. ( 1989). Dynamics and Vibration of Layered Plates and Shells - A Perspective from Sandwiches to Laminated Composites, In: Proc. of the 30th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Mobile, Alabama, USA, 2-5 April, pp. 2236-2245.
7.
Ha, K.H. (1990). Finite Element Analysis of Sandwich Plates: An Overview, Computers and Structures , 37(4): 397-403.
8.
Noor, A.K., Burton, W.S. and Bert, C.W. ( 1996). Computational Models for Sandwich Plates and Shells, Applied Mechanics Reviews, Transactions of ASME, 49(3): 155-199.
9.
Librescu, L. and Hause, T. (2000). Recent Developments in the Modeling and Behavior of Advanced Sandwich Constructions: A Survey, Journal of Composite Structures, 48(1-3): 1-17.
Zenkert, D. ( 1995). An Introduction to Sandwich Construction, Chameleon Press, London.
12.
Yu, Y.Y. ( 1996). Vibrations of Elastic Plates: Linear and Nonlinear Dynamic Modeling of Sandwiches, Laminated Composites and Piezoelectric Layers, Springer-Verlag, New York.
13.
Vinson, J.R. ( 1999). The Behavior of Sandwich Structures of Isotropic and Composite Materials, Technomic, Lancaster.
14.
Kollar, L.P. and Springer, G.S. ( 2003). Mechanics of Composite Structures, Cambridge University Press, Cambridge.
15.
Liu, O. and Zhao, Y. (2001). Prediction of Natural Frequencies of a Sandwich Panel Using Thick Plate Theory, Journal of Sandwich Structures and Materials, 3(4): 289-309.
16.
Nayak, A.K. , Moy, S.S.J. and Shenoi, R.A. (2002). Free Vibration Analysis of Composite Sandwich Plates based on Reddy’s Higher Order Theory, Composites Part B, Engineering, 33: 505-519.
17.
Yuan, W.X. and Dawe, D.J. ( 2002). Free Vibration of Sandwich Plates with Laminated Faces , International Journal for Numerical Methods in Engineering , 54: 195-217.
18.
Frosting, Y. and Thomsen, O.T. (2004). High-order Free Vibration of Sandwich Panels with a Flexible Core, International Journal of Solids and Structures, 41(5-6): 1697-1724.
19.
Roque, C.M.C. , Ferreira, A.J.M. and Jorge, R.M.N. (2006). Free Vibration Analysis of Composite and Sandwich Plates by a Trigonometric Layerwise Deformation Theory and Radial Basis Functions, Journal of Sandwich Structures and Materials, 8: 497-515.
20.
Hause, T. and Librescu, L. ( 2006). Flexural Free Vibration of Sandwich Flat Panels with Laminated Anisotropic Face Sheets, Journal of Sound and Vibration , 297: 823-841.
21.
Liu, O. and Zhao, Y. ( 2006). Natural Frequency Analysis of a Sandwich Panel with Soft Core Based on a Refined Shear Deformation Model, Composite Structures, 72: 364-374.
22.
Kim, J.S. (2007). Free Vibration of Laminated and Sandwich Plates Using Enhanced Plate Theories, Journal of Sound and Vibration, 308: 268-286.
23.
Liu, O. and Zhao, Y. ( 2007). Effect of Soft Honeycomb Core on Flexural Vibration of Sandwich Panel using Low Order and High Order Shear Deformation Models, Journal of Sandwich Structures and Materials, 9: 95-108.
24.
Wang, T., Sokolinsky, V., Rajaram, S. and Nutt, S.R. ( 2008). Consistent Higher-Order Free Vibration Analysis of Composite Sandwich Plates, Composite Structures, 82: 609-621.
Karczmarzyk, S., Meyer-Piening, H.R. and Caviezel, M. (2003). Numerical and Experimental Analysis of the Influence of Edge Conditions on the Deflection of a Clamped-Clamped Asymmetric Sandwich Strip, Journal of Sandwich Structures and Materials, 5: 119-145.
27.
Karczmarzyk, S. (2004). New 2D Approach and Solution to the Static Transverse Bending Problem for a Sandwich Strip with Realistic Clampings of the Edges, Journal of Sandwich Structures and Materials, 6: 7-45.
28.
Lok, T.S. and Cheng, Q.H. (2000). Free Vibration of Clamped Orthotropic Sandwich Panel, Journal of Sound and Vibration , 229(2): 311-327.
29.
Lok, T.S. and Cheng, Q.H. (2001). Bending and Forced Vibration Response of a Clamped Orthotropic Thick Plate and Sandwich Panel , Journal of Sound and Vibration, 245(1): 63-78.
30.
Reissner, E. (1945). The Effect of Transverse Shear Deformation on the Bending of Elastic Plates, Trans. ASME, Journal of Applied Mechanics, 12(2): 69-77.
31.
Mindlin, R.D. (1951). Influence of Rotatory Inertia and Shear on Flexural Motions of Isotropic Elastic Plates, Trans. ASME, Journal of Applied Mechanics, 18: 31-38.
32.
Vasiliev, V.V. (1993). Mechanics of Composite Structures, Taylor & Francis, Washington, DC.
