Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10677622 | Applied Mathematical Modelling | 2016 | 10 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
S.A. Mohammadi, F. Bahrami,