Title of article :
ON AN OPTIMAL SHAPE PROBLEM FOR THE EIGENFREQUENCY OF THE CLAMPED PLATE
Author/Authors :
GASIMOV, Y.S. Institute of Applied Mathematics Baku State University, Azerbaijan , GASIMOV, Y.S. Azerbaijan National Academy of Sciences - Institute of Mathematics and Mechanics, Azerbaijan , ALLAHVERDIYEVA, N.A. Sumgait State University, Azerbaijan , ALIYEVA, A.R. Sumgait State University, Azerbaijan
Abstract :
Minimization problem with respect to domain is considered for the eigenvalues of the biharmonic operator describing the tranverse vibrations of the clamped plate. Using the variation formula a necessary optimality condition is derived for the considered domain functional.
Keywords :
Shape optimization , clamped plate , convex domain , support function , necessary condition , eigenfrequency
Journal title :
TWMS Journal of Pure and Applied Mathematics
Journal title :
TWMS Journal of Pure and Applied Mathematics
