Finite Element Free Vibration Analysis of Rotating Laminated Composite Pretwisted Cantilever Plates

A finite element method for free vibration characteristics of rotating laminated composite pretwisted cantilever plates is presented. A nine noded three-dimensional degenerated composite shell element is developed and used for the present analysis. A trigonometric increment of pretwist angle along the plate length is considered. The cubic polynomial approximation is assumed for pretwist angle along each elemental length. Plates with exponentially varying thickness and variable chordwise width are studied. Results are obtained to investigate the effects of angle of pretwist, thickness ratio, fibre orientation, aspect ratio, skew angle and precone angle on the natural frequencies of graphite/epoxy plates.

[1]  M. Sabuncu.  Coupled vibration analysis of blades with angular pretwist of cubic distribution , 1985 .

[2]  D. Shaw,et al.  FLEXURAL VIBRATION OF ROTATING RECTANGULAR PLATES OF VARIABLE THICKNESS , 1988 .

[3]  J. N. Reddy,et al.  Free vibration behavior of spinning shear-deformable plates composedof composite materials , 1990 .

[4]  O. G. McGee,et al.  Three-dimensional vibration analysis of rotating laminated composite blades , 1993 .

[5]  C. C. Chamis.  Vibration characteristics of composite fan blades and comparison with measured data , 1977 .

[6]  N. Ganesan,et al.  Vibration and damping analysis of pre-twisted composite blades , 1993 .

[7]  Raghu Natarajan,et al.  Finite element analysis of laminated composite plates , 1979 .

[8]  Edward F. Crawley,et al.  The Natural Modes of Graphite/Epoxy Cantilever Plates and Shells , 1979 .

[9]  O. O. Bendiksen,et al.  Aeroelastic Behavior of Low-Aspect-Ratio Metal and Composite Blades , 1987 .

[10]  O. C. Zienkiewicz,et al.  Free vibration of initially stressed solids, with particular reference to centrifugal-force effects in rotating machinery , 1973 .

[11]  Mohamad S. Qatu,et al.  Vibration studies for laminated composite twisted cantilever plates , 1991 .

[12]  M. Lalanne,et al.  Vibration Analysis of Rotating Compressor Blades , 1974 .

[13]  S. Rawtani,et al.  Vibration analysis of rotating cantilever plates , 1971 .

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

[15]  E. Crawley,et al.  Frequency Determination Techniques for Cantilevered Plates with Bending-Torsion Coupling. , 1984 .