International Journal of Applied Science and Engineering
Published by Chaoyang University of Technology

Ming-Hung Hsu*

Department of Electrical Engineering, National Penghu University, Penghu, Taiwan,R.O.C.


 

Download Citation: |
Download PDF


ABSTRACT


A new version differential quadrature method is proposed to obtain the vibration characteristics of rectangular plates resting on elastic foundations and carrying any number of sprung masses. The accuracy of the technique is demonstrated by comparing the calculated results with the published data. The non-uniform grid spacing is used in this work. The results also demonstrate the efficiency of the method in treating the vibration problem of the rectangular plates carrying any number of sprung masses and resting on the elastic foundations.


Keywords: the differential quadrature method; rectangular plates; numerical methods; sprung masses; elastic foundations; vibration analysis.


Share this article with your colleagues

 


REFERENCES


[1] Leissa, A. W. 1969. “Vibration of Plate”. Washington, D. C. US Govt. Printing Office.

[2] Leissa, A. W. 1973. The free vibration of rectangular plates. Journal of Sound and Vibration, 31: 257-293.

[3] Boay, C. G. 1993. Free vibration of rectangular isotropic plates with and without a concentrated mass. Computers and Structures, 48: 529-533.

[4] Avalos, D. R., Larrondo, H. and Laura, A. A. 1993. Vibrations of a simply supported plate carrying an elastically mounted concentrated mass. Ocean Engineering, 20: 195-205.

[5] Xiang, Y., Liew, K. M., and Kitipornchai, S. 1997. Vibration analysis of rectangular mindlin plates resting on elastic edge supports. Journal of Sound and Vibration, 204: 1-16.

[6] Laura, P. A. A. and Grossi, R. O. 1978. Transverse vibration of a rectangular plate elastically restrained against rotation along three edges and free on the fourth edge. Journal of Sound and Vibration, 59: 355-368.

[7] Laura, P. A. A. and Grossi, R. O. 1981. Transverse vibrations of rectangular plates with edges elastically restrained against translation and rotation. Journal of Sound and Vibration, 75: 101-107.

[8] Wu, J. S. and Luo, S. S. 1997. Use of the analytical-and-numerical-combined method in the free vibration analysis of a rectangular plate with any number of point masses and translational springs. Journal of Sound and Vibration, 200: 179-194.

[9] Nicholson, J. W. and Bergman, L. A. 1986. Vibration of damped plate-oscillator systems. Journal of Engineering Mechanic, 112: 14-30.

[10] Gorman, D. J. 1997. Accurate free vibration analysis of shear-deformable plates with torsion elastic edge support. Journal of Sound and Vibration, 203: 209-218.

[11]Bert, C. W., Wang, X. and Striz, A. G. 1993. Differential quadrature for static and free vibration analysis of anisotropic plates. International Journal of Solids and Structures, 30: 1737-1744.

[12] Bert, C. W., Wang, X. and Striz, A. G. 1994. Static and free vibration analysis of beams and plates by differential quadrature method. Acta Mechanica, 102: 11-24.

[13] Bert, C. W., Wang, X. and Striz, A. G. 1994. Convergence of the DQ method in the analysis of anisotropic plates. Journal of sound and Vibration, 170: 140-144.

[14] Hsu, M. H. 2003. Vibration analysis of isotropic and orthotropic plates with mixed boundary conditions. Tamkang Journal of Science and Engineering, 6: 217-226.

[15] Hsu, M. H. 2004. Nonlinear dynamic analysis of an orthotropic composite rotor blade. Journal of Marine Science and Technology, 12: 247-255.

[16] Hsu, M. H. 2005. Vibration analysis of edge-cracked beam on elastic foundation with axial loading using the differential quadrature method. Computer Methods in Applied Mechanics and Engineering, 194: 1-17.

[17] Hsu, M. H. 2005. Nonlinear dynamic analysis of micro-electrostatic actuators with different electrode and beam shapes. International Journal of Electrical Engineering, 12: 201-206.


ARTICLE INFORMATION




Accepted: 2006-05-05
Available Online: 2006-08-25


Cite this article:

Hsu, M.-H. 2006. Vibration characteristics of rectangular plates resting on elastic foundations and carrying any numberof sprung masses. International Journal of Applied Science and Engineering, 4, 83–89. https://doi.org/10.6703/IJASE.2006.4(1).83