ON AN OPTIMAL SHAPE PROBLEM FOR THE EIGENFREQUENCY OF THE CLAMPED PLATEY.S. GASIMOV, N.A. ALLAHVERDIYEVA , A.R. ALIYEVA (pp. 28-33)
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.