Contents V.7, N.1, 2016

  • ON AN OPTIMAL SHAPE PROBLEM FOR THE EIGENFREQUENCY OF THE CLAMPED PLATE
    Y.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.

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