Exact solutions for buckling and vibration of stepped rectangular Mindlin plates

International Journal of Solids and Structures

Volumn 41, Issue 1, 2004, Pages 279-294

  Xiang, Y ^a   Wei, G W ^b  

^a UNIVERSITY OF WESTERN SYDNEY   (Australia)

^b MICHIGAN STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BENCHMARKING; BUCKLING; DECOMPOSITION; FREQUENCIES; LOADS (FORCES); VIBRATIONS (MECHANICAL);

DOMAIN DECOMPOSITION;

PLATES (STRUCTURAL COMPONENTS);

PLATE; VIBRATION;

EID: 0345017856     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2003.09.007     Document Type: Article

References (22)

1. Bambill D.V. Laura P.A.A. Bergmann A. Carnicer R. Fundamental frequency of transverse vibration of symmetrically stepped simply supported rectangular plates Journal of Sound and Vibration 150 1 1991 167-169
2. 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
3. Chopra I. Vibration of stepped thickness plates International Journal of Mechanical Sciences 16 1974 337-344
4. 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 3 1990 457-461
5. Eisenberger, M., Alexandrov, A., 2000. Stability analysis of stepped thickness plates. In: Papadrakakis, M., Samartin, A., Onate, E. (Eds.), Computational Methods for Shell and Spatial Structures, IASS-IACM 2000, ISASR-NTUA, Athens, Greece
6. Guo S.J. Keane A.J. Moshrefi-Torbati M. Vibration analysis of stepped thickness plates Journal of Sound and Vibration 204 1997 645-657
7. Harik I.E. Liu X. Balakrishnan N. Analytical solution to free vibration of rectangular plates Journal of Sound and Vibration 153 1 1992 51-62
8. Hwang S.S. Stability of plates with piecewise varying thickness Journal of Applied Mechanics 40 1973 1127-1129
9. Ju F. Lee H.P. Lee K.H. Free vibration of plates with stepped variations in thickness on non-homogeneous elastic foundations Journal of Sound and Vibration 183 1995 533-545
10. Lam K.Y. Amrutharaj G. Natural frequencies of rectangular stepped plates using polynomial functions with subsectioning Applied Acoustics 44 1995 325-340
11. Levy R. Rayleigh-Ritz optimal design of orthotropic plates for buckling Structural Engineering and Mechanics 4 1996 541-552
12. Malhorta S.K. Ganesan N. Veluswami M.A. Vibrations of orthotropic square plates having variable thickness (parabolic variation) Journal of Sound and Vibration 119 1987 184-188
13. Mindlin R.D. Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates Journal of Applied Mechanics, ASME 18 1951 31-38
14. Navaneethakrishnan P.V. Buckling of nonuniform plates: Spline method Journal of Engineering Mechanics, ASCE 114 1988 893-898
15. Ohga M. Shigematsu T. Kawaguchi K. Buckling analysis of thin-walled members with variable thickness Journal of Structural Engineering, ASCE 121 1995 919-924
16. Olhoff N. Optimal design of vibrating rectangular plates International Journal of Solids and Structures 10 1974 93-109
17. Pines S. Gerard G. Instability analysis and design of an efficiently tapered plate under compressive loading Journal of the Aeronautical Science 14 1947 500-594
18. Warburton G.B. Comment on "Vibration of stepped plates" by I. Chopra International Journal of Mechanical Sciences 117 1975 239
19. Wittrick W.H. Ellen C.H. Buckling of tapered rectangular plates in compression Aeronautical Quarterly 13 1962 308-326
20. Xiang Y. Liew K.M. Kitipornchai S. Exact buckling solutions for composite laminates: Proper free edge conditions under in-plane loadings Acta Mechanica 117 1996 115-128
21. Xiang Y. Wang C.M. Exact buckling and vibration solutions for stepped rectangular plates Journal of Sound and Vibration 250 2002 503-517
22. 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