This paper presents a set of comprehensive and accurate results for the free-flexural vibration of triangular plates of arbitrary boundary conditions with/without curved internal supports. These results are presented for ten distinct cases involving the combinations of free, simply supported or clam
On The Free Flexural Vibration Of Rectangular Plates With Straight Or Curved Internal Line Supports
β Scribed by P.G. Young; S.M. Dickinson
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 439 KB
- Volume
- 162
- Category
- Article
- ISSN
- 0022-460X
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β¦ Synopsis
The Rayleigh-Ritz method is used, with simple polynomials as admissible functions, to obtain the eigenvalue equation for the free vibration of a rectangular plate which has an internal line support lying along a line describable in terms of a general polynomial. Numerical and graphical results are presented for plates with internal supports lying along straight lines, for which comparison results also exist, and for plates with the supports lying along different types of curves, including a central circular support.
π SIMILAR VOLUMES
An analy'ical sol'tion based on the superposition method is developed for the first time for the free vibration of the title problem. While it will be seen that the line support is replaced by point supΨ±rorts, convergence tests show that a limited number of point supports provide exceflent solution
An analytical method is presented for the #exural vibration of rectangular thin plates with free boundary conditions. Based on the apparent elasticity method, the #exural vibration of a rectangular thin plate is reduced to two one-dimensional #exural vibrations of slender rods. Then the two-dimensio
In this paper, an accurate analytical type solution for the free vibration of clamped rectangular plates with line support along the diagonals, corner-to-corner, is developed by the superposition method. A modification of line support, as established earlier, is used and convergence tests are carrie
It is shown that use of a polynomial coordinate .function and the Rayleigh-Schmidt method constitute a convenient approach for determining the fundamental frequency of vibration of the title O'stem. Experimental results are presented for the case where three edges are rigidly clamped; and it is show