Free vibration of antisymmetric angle-ply-laminated plates including transverse shear deformation: Spline method

International Journal of Mechanical Sciences

Volumn 50, Issue 10-11, 2008, Pages 1476-1485

  Viswanathan, K K ^a   Kim, Kyung Su ^a  

^a Inha University   (South Korea)

Author keywords

Antisymmetric angle ply; Free vibration; Laminated plates; Shear deformation; Spline method

Indexed keywords

ASPECT RATIO; BOUNDARY VALUE PROBLEMS; DEFORMATION; EQUATIONS OF MOTION; LAMINATING; LATTICE VIBRATIONS; PROBABILITY DENSITY FUNCTION; SHEAR DEFORMATION; SPLINES;

ANTISYMMETRIC ANGLE PLY; COUPLED DIFFERENTIAL EQUATIONS; EIGEN FREQUENCIES; FREE VIBRATION; FREE VIBRATIONS; FREQUENCY PARAMETERS; GENERALIZED EIGENVALUE PROBLEMS; LAMINATED PLATES; LAYERED PLATES; NUMERICAL RESULTS; PARAMETRIC STUDIES; PLY ANGLES; PLY COMPOSITES; POINT COLLOCATION METHODS; ROTATORY INERTIAS; SPLINE FUNCTIONS; SPLINE METHOD; SPLINE METHODS; THICKNESS RATIOS; TRANSVERSE SHEAR DEFORMATIONS; TWO TYPES;

EIGENVALUES AND EIGENFUNCTIONS;

EID: 55749100662     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijmecsci.2008.08.009     Document Type: Article

References (27)

1. Reissner E., and Stavsky Y. Bending and stretching of certain types of heterogeneous aelotropic elastic plates. Journal of Applied Mechanics 28 (1961) 402-412
2. Mindlin R.D. Influence of rotary inertia and shear on flexural motion of isotropic elastic plates. Journal of Applied Mechanics 18 (1951) 31-38
3. Stavsky Y. On the theory of symmetrically heterogeneous plates having the same thickness variation of the elastic moduli. In: Abir D., Ollendorff F., and Reiner M. (Eds). Topics in applied mechanics (1965), American Elsevier, New York 105
4. Yang P.C., Nooris C.H., and Stavsky Y. Elastic wave propagation in heterogeneous plates. International Journal of Solids and Structures 2 (1966) 665-684
5. Sun C.T., and Whitney J.M. Theory for the dynamic response of laminated plates. AIAA Journal 11 (1973) 178
6. Whitney J.M., and Pagano N.J. Shear deformation in heterogeneous plates. Journal of Applied Mechanics 37 (1970) 1031-1036
7. Bert C.W., and Chen T.L.C. Effect of shear deformation on vibration of antisymmetric angle-ply laminated rectangular plates. International Journal of Solids and Structures 14 (1978) 465-473
8. Reddy J.N. Free vibration of antisymmetric angle-ply laminated plates including transverse shear deformation by the finite element method. Journal of Sound and Vibration 66 4 (1978) 565-576
9. Ghosh A.K., and Dey S.S. Free vibration of laminated composite plates-a simple finite element based on higher order theory. Computers and Structures 52 3 (1994) 397-404
10. Ferreira A.J.M. A formulation of the multiquadric radial function method for the analysis of laminated composite plates. Composite Structures 59 (2003) 385-392
11. Kabir H.R.H., Al-Khaleefi A.M., and Chaudhuri R.A. Free vibration analysis of thin arbitrarily laminated anisotropic plates using boundary-continuous displacement Fourier approach. Journal of Sound and Vibration 53 (2001) 469-476
12. Viswanathan K.K., and Lee S.-K. Free vibration of laminated cross-ply plates including shear deformation by spline method. International Journal of Mechanical Sciences 49 (2007) 352-363
13. Bickley W.G. Piecewise cubic interpolation and two point boundary problems. Computer Journal 11 (1968) 206-208
14. Mizusawa T., and Kito H. Vibration of cross-ply laminated cylindrical panels by the spline strip method. Computers and Structures 57 2 (1995) 253-265
15. Soni S.R., and Sankara Rao K. Vibration of non-uniform rectangular plates: a spline technique method of solution. Journal of Sound and Vibration 35 (1974) 35-45
16. Irie T., Yamada G., and Kanda R. Free vibration of rotating non-uniform discs: spline interpolation technique calculation. Journal of Sound and Vibration 66 (1979) 13-23
17. Irie T., and Yamada G. Analysis of free vibration of annular plate of variable thickness by use of a spline technique method. JSME Bulletin 23 (1980) 286-292
18. Navaneethakrishnan P.V., and Chandrasekaran K. A spline function analysis of axisymmetric free vibrations of layered conical shells and plates of variable thickness. ASME Structural Vibration and Acoustics 18 (1989) 153-159
19. Navaneethakrishnan PV. Vibration of layered shells and plates: a unified formulation and spline function study. In: Proceedings of the international noice and vibration control conference NOICE-93, vol. 7. St. Petersburg, 1993. p. 71-6.
20. Navaneethakrishnan P.V., Chandrasekaran K., and Ravi Srinivas N. Axisymmetric vibration of layered tapered plates. ASME Journal of Applied Mechanics 59 (1992) 1041-1043
21. Viswanathan K.K., and Navaneethakrishnan P.V. Buckling of non-uniform plates on elastic foundation: spline method. Journal of Aeronautical Society of India 54 (2002) 366-373
22. Viswanathan K.K., and Navaneethakrishnan P.V. Free vibration study of layered cylindrical shells by collocation with splines. Journal of Sound and Vibration 260 (2003) 807-827
23. Whitney J.M., and Sun C.T. A higher order theory for extensional motion of laminated composites. Journal of Sound and Vibration 30 (1973) 85
24. Whitney J.M. Shear correction factors for orthotropic laminates under static loads. Journal of Applied Mechanics 40 (1973) 302
25. Bert C.W. Simplified analysis of static shear factors for beams of nonhomogeneous cross section. Journal of Composite Materials 7 (1973) 525
26. Perngjin F.Pai. A new look at shear correction factor d and warping functions of anisotropic laminates. International Journal of Solids Structures 32 (1995) 2295-2313
27. Bhimaraddi A. Large amplitude vibrations of imperfect antisymmetric angle-ply laminated plates. Journal of Sound and Vibration 162 3 (1993) 457-470