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
Free Vibration Analysis of Simply Supported Rectangular Plates With Internal Line Support Along Diagonals
β Scribed by N. Li; D.J. Gorman
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 187 KB
- Volume
- 165
- Category
- Article
- ISSN
- 0022-460X
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β¦ Synopsis
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 accuracy. Three families of vibration modes are delineated and accurate ei iyenvalues a a '. presented for the first four free vibration modes of plates with a wide range of plate geom tries. Three-dimensional mode shapes are plotted for some typical square plates.
π SIMILAR VOLUMES
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 p
A procedure using the "nite strip element method in combination with a spring system is proposed to treat the free vibration analysis of plates on elastic intermediate supports. Results indicate that the spring system can successfully simulate elastic intermediate supports such as point supports, l
The practical engineering problem of cantilever plates with rigid point supports is dealt with in this paper. A highly accurate, economical and practical solution is outlined for the transverse free vibration analysis of these plates. The accuracy of the solution is discussed. It is also shown how w