Extremal basic frequency of non-homogeneous plates

Abbasali Mohammadi

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arXiv · 1311.2859

Extremal basic frequency of non-homogeneous plates

Abbasali Mohammadi

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Abstract

In this paper we propose two numerical algorithms to derive the extremal principal eigenvalue of the bi-Laplacian operator under Navier boundary conditions or Dirichlet boundary conditions. Consider a non-homogeneous hinged or clamped plate $Ω$, the algorithms converge to the density functions on $Ω$ which they yield the maximum or minimum basic frequency of the plate.

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Abbasali Mohammadi. 2014-02-26. Extremal basic frequency of non-homogeneous plates. https://arxiv.org/abs/1311.2859

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