Free vibration of long-span continuous rectangular Kirchhoff plates with internal rigid line supports

Journal of Sound and Vibration

Volumn 297, Issue 1-2, 2006, Pages 351-364

  Lu C F ^a,b   Lee, Y Y ^c   Lim, C W ^c   Chen, W Q ^a,b  

^a ZHEJIANG UNIVERSITY   (China)

^b ZHEJIANG UNIVERSITY   (China)

^c CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

COUPLINGS; NATURAL FREQUENCIES; NUMERICAL ANALYSIS; STATE SPACE METHODS; TRANSFER FUNCTIONS; VIBRATION MEASUREMENT;

JOINT COUPLING MATRICES; NUMERICAL INSTABILITY; RECTANGULAR KIRCHHOFF PLATES; TRANSFER RELATIONSHIP;

PLATES (STRUCTURAL COMPONENTS);

EID: 33746299849     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2006.04.007     Document Type: Article

References (22)

1. Veletsos A.S., and Newmark N.M. Determination of natural frequencies of continuous plates hinged along two opposite edges. ASME, Journal of Applied Mechanics 23 (1956) 97-102
2. Ungar E.E. Free oscillations of edge-connected simply supported plate systems. ASME, Journal of Engineering for Industry 83 (1961) 434-440
3. Dickinson S.M., and Warburton G.B. Natural frequencies of plate systems using the edge-effect method. Journal of Mechanical Engineering Science 9 (1967) 318-329
4. Cheung Y.K., and Cheung M.S. Flexural vibrations of rectangular and other polygonal plates. ASCE, Journal of the Engineering Mechanics Division 97 (1971) 391-411
5. Wu C.I., and Cheung Y.K. Frequency analysis of rectangular plates continuous in one or two directions. Earthquake Engineering and Structural Dynamics 3 (1974) 3-14
6. Golley B.W., and Petrolito J. Finite strip-elements for the dynamic analysis of orthotropic plate structures. Journal of Sound and Vibration 163 (1993) 479-491
7. Sakata T. A reduction method for vibrating and buckling problems of orthotropic continuous plates. Journal of Sound and Vibration 49 (1976) 45-52
8. Takahashi K., and Chishaki T. Free vibrations of two-way continuous rectangular plates. Journal of Sound and Vibration 62 (1979) 455-459
9. Azimi S., Hamilton J.F., and Soedel W. The receptance method applied to the free vibration of continuous rectangular plates. Journal of Sound and Vibration 93 (1984) 9-29
10. Bishop R.E.D., and Johnson D.C. The Mechanics of Vibration (1960), Cambridge University Press, London
11. Cortinez V.H., and Laura P.A.A. A note on vibrating membranes and plates with an internal support. Journal of Sound and Vibration 104 (1986) 533-535
12. Kim S.C., and Dickinson S.M. The flexural vibration of line supported rectangular plate systems. Journal of Sound and Vibration 114 (1987) 129-142
13. Liew K.M., and Lam K.Y. Vibration analysis of multi-span plates having orthogonal straight edges. Journal of Sound and Vibration 147 (1991) 255-264
14. Liew K.M., Xiang Y., and Kitipornchai S. Transverse vibration of thick rectangular plates-II. Inclusion of oblique internal line supports. Computers and Structures 49 (1993) 31-58
15. Zhou D. Eigenfreqeuncies of line supported rectangular plates. International Journal of Solids and Structures 31 (1994) 347-358
16. Kong J., and Cheung Y.K. Vibration of shear-deformable plates with intermediate line supports: a finite layer approach. Journal of Sound and Vibration 184 (1995) 639-649
17. Wei G.W., Zhao Y.B., and Xiang Y. Discrete singular convolution and its application to the analysis of plates with internal supports, part 1: theory and algorithm. International Journal for Numerical Methods in Engineering 55 (2002) 913-946
18. Xiang Y., Zhao Y.B., and Wei G.W. Levy solutions for vibration of multi-span rectangular plates. International Journal of Mechanical Sciences 44 (2002) 1195-1218
19. Nagem R.J., and Williams J.H. Dynamic analysis of large space structures using transfer matrices and joint coupling matrices. Mechanics of Structures and Machines 17 (1989) 349-371
20. Pestel E.C., and Leckie F.A. Matrix Methods in Elastomechanics (1963), McGraw-Hill, New York
21. Xiang Y., Liew K.M., and Kitipornchai S. Exact buckling solutions for composite laminates: proper free edge conditions under in-plane loadings. Acta Mechanica 117 (1996) 115-128
22. Leissa A.W. Vibration of plates, NASA SP-160. Office of Technology Untilization (1969), NASA, Washington D.C