International Journal of Mathematics and Mathematical Sciences
Volume 14 (1991), Issue 3, Pages 581-586
doi:10.1155/S0161171291000789
On the stationary vibrations of a rectangular plate subjected to stress prescribed partially at the circumference
M.G. El Sheikh1
, A.H. Khater2
and D.K. Callebaut3
1Mathematics Department, Faculty of Science, Ain Shams University, Cairo, Egypt
2Mathematics Department, Faculty of Science, Cairo University, Beni-Suef, Egypt
3Physics Department, University of Antwerp, (U.I.A.), Antwerp B2610, Belgium
Abstract
The stationary periodical problem of a vibrating rectangular plate, stressed at a segment while fixed elsewhere at one of its edges, is considered. Using the finite Fourier transformation, the problem is converted to a singular integral equation that in turn can be reduced to an infinite system of algebraic equations. The truncation of the algebraic system is justified.