The free vibration problem of a system of two rectangular plates connected by a non-homogeneous elastic layer is considered. An integral formulation of the problem by using properties of Green's functions is achieved and by application of a quadrature method to the integral equation, the frequency e
APPLICATION OF GREEN'S FUNCTION IN FREE VIBRATION ANALYSIS OF A SYSTEM OF LINE CONNECTED RECTANGULAR PLATES
β Scribed by S. Kukla
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 376 KB
- Volume
- 217
- Category
- Article
- ISSN
- 0022-460X
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β¦ Synopsis
In this paper, the Green's function method is used to obtain an analytical solution of the free vibration problem of a system of two rectangular, orthotropic Levy plates. The plates of the system are elastically connected along straight lines perpendicular to the simply supported plate edges. The Green's functions for the orthotropic S-S-S-S and S-F-S-F plates are derived. The numerical calculations deal with a system of square plates connected along two lines. The results show the effect of the material orthotropy and the stiffness of translational connection on the eigenfrequencies of the combined system.
π SIMILAR VOLUMES
The free vibration of thin orthotropic rectangular plates, which may be continuous over a number of intermediate line supports in one or two directions, is analyzed by the Rayleigh Β± Ritz method. A new set of admissible functions which are the static solutions of a point supported beam under a serie
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
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 approximate method in which discrete Green functions are used is described for analyzing the free vibration of anisotropic rectangular plates with various boundary conditions. The discrete Green functions are obtained by transforming the differential equations involving Dirac's delta functions in