Vibration of moderately thick square orthotropic stepped thickness plates

Applied Acoustics

Volumn 64, Issue 7, 2003, Pages 753-763

  Hull, P V ^a   Buchanan, G R ^a  

^a Tennessee Technological University   (United States)

Author keywords

Finite element; Mindlin plate; Orthotropic; Thick plate; Variable thickness; Vibration

Indexed keywords

ANISOTROPY; BOUNDARY CONDITIONS; EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; PLATES (STRUCTURAL COMPONENTS);

CLASSICAL PLATE THEORY;

VIBRATIONS (MECHANICAL);

EID: 0037410928     PISSN: 0003682X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0003-682X(03)00006-9     Document Type: Article

References (24)

1. Gutierrez R.H., Laura P.A.A. Fundamental frequency of transverse vibration of a rectangular, anisotropic plate of discontinuously varying thickness. Journal of Sound and Vibration. 248:2001;573-577.
2. Laura P.A.A., Gutiérrez R.H. Transverse vibration of rectangular plates of generalized anisotropy and discontinuously varying thickness. Journal of Sound and Vibration. 250:2002;569-574.
3. Xiang Y., Wang C.M. Exact buckling and vibration solutions for stepped rectangular plates. Journal of Sound and Vibration. 250:2002;503-517.
4. Dawe D.J., Tan D. Vibration and buckling of prismatic plate structures having intermediate supports and step thickness changes. Computer Methods in Applied Mechanics and Engineering. 191:2002;2759-2784.
5. Yuan J., Dickinson S.M. The flexural vibration of rectangular plate systems approached by using artificial springs in the Rayleigh-Ritz method. Journal of Sound and Vibration. 159:1992;39-55.
6. Dawe D.J., Tan D. Finite strip buckling and free vibration analysis of stepped rectangular composite plates. International Journal for Numerical Methods in Engineering. 46:1999;1313-1334.
7. Cheung Y.K., Au F.T.K., Zheng D.Y. Finite strip method for the free vibration and buckling analysis of plates with abrupt changes in thickness and complex support conditions. Thin-Walled Structures. 36:2000;89-110.
8. Chopra I. Vibration of stepped thickness plates. International Journal of Mechanical Sciences. 16:1974;337-344.
9. Warburton G.B. Comment on. Vibration of stepped thickness plates International Journal of Mechanical Sciences. 17:1975;239.
10. Dickinson S.M. Comment on 'Natural frequencies of rectangular stepped plates using polynomial beam functions with subsectioning'. Applied Acoustics. 47:1996;275-277.
11. Lam K.Y., Amrutharaj G. Natural frequencies of rectangular stepped plates using polynomial beam functions with subsectioning. Applied Acoustics. 44:1995;325-340.
12. Sanzi H.C., Bergmann A., Carnicer R., Laura P.A.A. Numerical experiments on vibrating rectangular plates with discontinuously varying cross sections. Journal of Sound and Vibration. 135:1989;161-165.
13. Cortinez V.H., Laura P.A.A. Analysis of vibrating rectangular plates of discontinuously varying thickness by means of the Kantorovich extended method. Journal of Sound and Vibration. 137:1990;457-461.
14. Guo S.J., Keane A.J., Moshrefi-Torbati M. Vibration analysis of stepped thickness plates. Journal of Sound and Vibration. 204:1997;645-657.
15. Reddy JN. An introduction to the finite element method, second ed. McGraw-Hill, 1993.
16. Reismann H. Elastic plates theory and application. Wiley-Interscience, 1988.
17. Liew K.M., Hung K.C., Lim M.K. Vibration of Mindlin plates using boundary characteristic orthogonal polynomials. Journal of Sound and Vibration. 182:1995;77-90.
18. Liu F.L., Liew K.M. Vibration analysis of discontinuous Mindlin plates by differential quadrature element method. Journal of Vibration and Acoustics. 121:1999;204-208.
19. Rossi R.E. A note on a finite element for vibrating thin, orthotropic rectangular plates. Journal of Sound and Vibration. 208:1997;864-868.
20. Lekhnitskii, S.G. Anisotropic Plates. Gordon and Breach, 1968.
21. Kant T., Swaminathan K. Free vibration of isotropic, orthotropic, and multilayer plates based on higher order refined theories. Journal of Sound and Vibration. 241:2001;319-327.
22. Srinivas S., Rao A.K. Bending, vibration and buckling of simply supported thick orthotropic rectangular plates and laminates. International Journal of Solids and Structures. 6:1970;1463-1481.
23. Bisplinghoff RL, Mar JW, Pian THH. Statics of deformable bodies. Addison-Wesley, 1965.
24. Hearmon RFS. Landolt-Börnstein, elastic, piezoelectric, piezooptic and electrooptic constants of crystals, Vol. 1. Springer-Verlag, 1966.