Analytical 3-D p-element for quadrilateral plates-Part 1: Thick isotropic plate structures

Journal of Sound and Vibration

Volumn 303, Issue 1-2, 2007, Pages 171-184

  Zhu, B ^a   Leung, A Y T ^b   Li, Q S ^b   Lu, J W Z ^b   Zhang, X C ^b  

^a ZHEJIANG UNIVERSITY   (China)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

CANTILEVER BEAMS; DAMPING; WAVELET TRANSFORMS;

HIERARCHICAL SHAPE FUNCTIONS; POLYGONAL PLATES; RAYLEIGH DAMPING MODEL;

PLATES (STRUCTURAL COMPONENTS);

EID: 33947678634     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2007.01.002     Document Type: Article

References (22)

1. Bardell N.S. Free vibration analysis of a flat plate using the hierarchical finite element method. Journal of Sound and Vibration 151 (1991) 263-289
2. Bardell N.S. The free vibration of skew plates using the hierarchical finite element method. Computers & Structures 45 (1992) 841-874
3. Beslin O., and Nicolas J. Hierarchical functions set for predicting very high order plate bending modes with any boundary conditions. Journal of Sound Vibration 202 (1997) 633-655
4. B. Zhu, A.Y.T. Leung, Vibration analyses of Mindlin plates by quadrilateral p-version elements, Proceedings of WCCM VI (CD Rom), Beijing, China, 2004.
5. Attia O., and Zafrany A.E. A high-order shear element for nonlinear vibration analysis of composite layered plates and shells. International Journal of Mechanical Sciences 41 (1999) 461-486
6. Zienkiewicz O.C., and Taylor R.L. The Finite Element Method. fourth ed. (1989), McGraw-Hill, New York
7. Houmat A. Three-dimensional hierarchical finite element free vibration analysis of annular sector plates. Journal of Sound and Vibration 276 (2004) 181-193
8. Leung A.Y.T., and Zhu B. Hexahedral Fourier p-elements for vibration of prismatic solids. International Journal of Structural Stability and Dynamic 4 (2004) 125-138
9. Leung A.Y.T., and Zhu B. Comments on "Free Vibration of Skew Mindlin Plates by p-version of F.E.M.". Journal of Sound and Vibration 278 (2004) 699-703
10. Leung A.Y.T. Dynamic Stiffness and Substructures (1993), Springer, London
11. Houmat A. A triangular Fourier p-element for the analysis of membrane vibrations. Journal of Sound and Vibration 230 (2000) 31-43
12. Leissa A.W., and Zhang Z.D. On the three-dimensional vibrations of the cantilevered rectangular parallelepiped. Journal of the Acoustical Society of America 73 (1983) 2013-2021
13. Liew K.M., Hung K.C., and Lim M.K. A continuum three-dimensional vibration analysis of thick rectangular plates. International Journal of Solids and Structures 30 (1993) 3357-3379
14. Wang C.M., Reddy J.N., and Lee K.H. Shear Deformable Beams and Plates (2000), Elsevier, Oxford, UK
15. Malik M., and Bert C.W. Three-dimensional elasticity solutions for free vibrations of rectangular plates by the differential quadrature method. International Journal of Solids and Structures 35 (1998) 299-319
16. Zhou D., Cheng Y.K., Au F.T.K., and Lo S.H. Three-dimensional vibration analysis of thick rectangular plates using Chebyshev polynomial and Ritz method. International Journal of Solids and Structures 39 (2002) 6339-6353
17. Liew K.M., Hung K.C., and Lim M.K. Three-dimensional vibration of rectangular plates: variance of simple support conditions and influence of in-plane inertia. International Journal of Solids and Structures 31 (1994) 3233-3247
18. Liew K.M., Wang C.M., Xiang Y., and Kitipornchai S. Vibration of Mindlin Plates (1998), Elsevier, Oxford, UK
19. Clough R.W., and Penzien J. Dynamics of Structures. second ed. (1993), McGraw-Hill, New York
20. Staszewski W.J. Identification of damping in MDOF systems using time-scale decomposition. Journal of Sound and Vibration 203 (1997) 283-305
21. Ruzzene M., Fasana A., Garibaldi L., and Piombo B. Natural frequencies and damping identification using wavelet transform: application to real data. Mechanical Systems and Signal processing 11 (1997) 207-218
22. Lardies J., and Gouttebroze S. Identification of modal parameters using the wavelet transform. International Journal of Mechanical Science 44 (2002) 2263-2283