Lin Dun-xiang, Ni Rong-gen. The Finite Element Technique for Predicting the Natural Frequencies, Mode Shapes and Damping Values of Filamentary Composite Plates[J]. Applied Mathematics and Mechanics, 1986, 7(2): 181-196.
 Citation: Lin Dun-xiang, Ni Rong-gen. The Finite Element Technique for Predicting the Natural Frequencies, Mode Shapes and Damping Values of Filamentary Composite Plates[J]. Applied Mathematics and Mechanics, 1986, 7(2): 181-196.

# The Finite Element Technique for Predicting the Natural Frequencies, Mode Shapes and Damping Values of Filamentary Composite Plates

• Publish Date: 1986-02-15
• This article presents the numerical method for predicting the natural frequencies, mode shapes and damping values of filamentary composite plates. This method is based on finite element technique, using damped element and allowing transverse shear deformation. For the example of this technique, the theoretical results comparing.with experimental values of carbon fibre and glass fibre reinforced plastics plates(mid-plane symmetric) are provided. The dynamic properties of these laminates are discussed. Finally, a simple graphic technique to estimate the natural frequencies and damping values is suggested.
•  [1] Asbton,J.E.and M.E.Waddoups,Analysis of anisotropic plates,J Composite Materials,3.(1969),148. [2] Ashton,J.E.and J.D.Anderson,The natural modes of vibration of boron-epoxy plates,Shock and Vibration Bulletin,39(1969),81. [3] Cawley,P.and R.D.Adams,The predicted and experimental natural modes of free-free CFRP plates,J.Composite Materials,12(1978),336. [4] Reddy,J.N.,Free vibration of antisymmetric,angle-ply laminated plates including transverse shear deformationt by finite element methed,J Sound and Vibration,66,4(1979),565 [5] Hashin,Z.,Complex moduli of viscoelastic composite-2.Fibre reinforced materials,Int.J.of Solids and Structures,6(1970),797. [6] Bert,C.W.,Vibration of composite structure,Recent Advances in Structural Dynamics,Int.Conf University of Southampton,(1980),7-11. [7] Adams,R,D.and D.G.C.Bacon,Effect of orientation and laminated geometry on the dynamic properties of CFRP,J.Composite Materials,7(1973),402. [8] Ioannides,E.and P.Grootenhuis,Finite element analysis of the harmonic response of damped three-layer plates,J.Sound and Vibration,67,2(1979),203. [9] Lin Dun-xiang(林敦祥),Ni Rong-gen(倪荣根)and R.D.Adams,Prediction and measurement of the vibrational damping parameters of carbon and glass fibre-reinforced plastics plates,J.Composite Materials,18,(March.1984),132. [10] Ni Rong-gen(倪荣根),Lin Dun-xiang(林敦祥)and R.D.Adams,The dynamic properties of carbon-glass fibre sandwich hybrid laminated composites:Theoretical,experimental and economic consideration,Composites,15,4(Oct.1984),297. [11] Yang,P.C.,C.H.Norris and Y.Stavsky,Elastic wave propagation in heterogenous plates,Int.J.Solids and Structures,2(1966),665. [12] Ashton,J.E.and J.M.Whitney,Theory of Laminated Plates,Technomic Publishing Co.,Inc.(1970). [13] Cawley,P.and R.D.Adams,The location of defects in structures from measurements of natural frequencies,J.Strain Analysis,14,2(1979),49. [14] Ni Rong-gen(倪荣根)and R.D.Adams,A rational method for obtaining the dynamic properties of laminae for predicting the stiffness and damping of laminated plates and beams,Composites,15,3(July 1984),193. [15] Lin Dun-giang(林敦祥)and R.D.Adams,Determination of damping characteristics of structures by transient testing using Zoom-FFT,J.of Physics,E,18,2(1985),161.

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