Article ID Journal Published Year Pages File Type
10677622 Applied Mathematical Modelling 2016 10 Pages PDF
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 yield the maximum or minimum basic frequency of the plate.
Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
Authors
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