Vibration and damping analysis of laminated composite plates by the finite element method

The present investigation is concerned with the utilisation of the finite element technique for predicting the natural frequencies and the modal damping factor (also called the loss factor) of anisotropic fibre‐reinforced composite laminated plates. The simple definition of the modal damping factor is defined as the ratio of the strain energy dissipated per radian of vibration, in the mode of interest, to the total strain energy of the entire laminate at maximum displacement during the same cycle. Results for the vibration and damping analysis of multi‐layered plates obtained by the present methods are compared with the results obtained by other authors and with the results of experiments.

[1]  E. Hinton,et al.  A comparison of lagrangian and serendipity mindlin plate elements for free vibration analysis , 1979 .

[2]  Tarun Kant,et al.  Free vibration of symmetrically laminated plates using a higher‐order theory with finite element technique , 1989 .

[3]  Ray W. Clough,et al.  Improved numerical integration of thick shell finite elements , 1971 .

[4]  A. Rao,et al.  Bending, vibration and buckling of simply supported thick orthotropic rectangular plates and laminates , 1970 .

[5]  R. Adams,et al.  Prediction and Measurement of the Vibrational Damping Parameters of Carbon and Glass Fibre-Reinforced Plastics Plates , 1984 .

[6]  A. K. Noor,et al.  Free vibrations of multilayered composite plates. , 1973 .

[7]  N. Ganesan,et al.  Vibration and damping analysis of orthotropic triangular plates , 1989 .

[8]  N. T. Asnani,et al.  Vibration and Damping Analysis of Fibre Reinforced Composite Material Plates , 1986 .

[9]  N. T. Asnani,et al.  Vibration and damping analysis of multilayered rectangular plates with constrained viscoelastic layers , 1984 .

[10]  J. Whitney,et al.  Shear Correction Factors for Orthotropic Laminates Under Static Load , 1973 .

[11]  M. E. Raville,et al.  Determination of natural frequencies of vibration of a sandwich plate , 1967 .

[12]  Y. K. Cheung,et al.  Bending and vibration of multilayer sandwich beams and plates , 1973 .

[13]  J. Z. Zhu,et al.  The finite element method , 1977 .

[14]  Robert D. Adams,et al.  Effect of Fibre Orientation and Laminate Geometry on the Dynamic Properties of CFRP , 1973 .

[15]  J. Reddy,et al.  Stability and vibration of isotropic, orthotropic and laminated plates according to a higher-order shear deformation theory , 1985 .

[16]  R. Adams,et al.  The dynamic properties of carbon-glass fibre sandwich-laminated composites: theoretical, experimental and economic considerations , 1984 .

[17]  Andrew S. Bicos,et al.  Analysis of free damped vibration of laminated composite plates and shells , 1989 .

[18]  Andris Chate,et al.  Finite element analysis of damping the vibrations of laminated composites , 1993 .

[19]  F. Ju,et al.  Finite Element Analysis on Modal Parameters of Anisotropic Laminated Plates , 1988 .

[20]  T. Chow,et al.  On the Propagation of Flexural Waves in an Orthotropic Laminated Plate and Its Response to an Impulsive Load , 1971 .

[21]  Ahmed K. Noor,et al.  A posteriori estimates for shear correction factors in multilayered composite cylinders , 1989 .

[22]  D. J. Dawe,et al.  Flexural vibration of symmetrically laminated composite rectangular plates including transverse shear effects , 1986 .