𝔖 Bobbio Scriptorium
✦   LIBER   ✦

APPLICATION OF GREEN'S FUNCTION IN FREE VIBRATION ANALYSIS OF A SYSTEM OF LINE CONNECTED RECTANGULAR PLATES

✍ Scribed by S. Kukla


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
376 KB
Volume
217
Category
Article
ISSN
0022-460X

No coin nor oath required. For personal study only.

✦ 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.


πŸ“œ SIMILAR VOLUMES


FREE VIBRATION OF A SYSTEM OF TWO ELASTI
✍ S. KUKLA πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 162 KB

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

FREE VIBRATION OF LINE SUPPORTED RECTANG
✍ D. Zhou; Y.K Cheung πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 191 KB

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

Free Vibration Analysis of Clamped Recta
✍ N. Li; D.J. Gorman πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 223 KB

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 Suppor
✍ N. Li; D.J. Gorman πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 187 KB

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

A FREE VIBRATION ANALYSIS OF ANISOTROPIC
✍ C. Morita; H. Matsuda; T. Sakiyama; T. Hagino πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 464 KB

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