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Journal of Scientific Computing
Erschienen in: Journal of Scientific Computing 3/2016

24.05.2016

Minimizing Eigenvalues for Inhomogeneous Rods and Plates

verfasst von: Weitao Chen, Ching-Shan Chou, Chiu-Yen Kao

Erschienen in: Journal of Scientific Computing | Ausgabe 3/2016

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Abstract

Optimizing eigenvalues of biharmonic equations appears in the frequency control based on density distribution of composite rods and thin plates with clamped or simply supported boundary conditions. In this paper, we use a rearrangement algorithm to find the optimal density distribution which minimizes a specific eigenvalue. We answer the open question regarding optimal density configurations to minimize k-th eigenvalue for clamped rods and analytically show that the optimal configurations are distinct for clamped rods and simply supported rods. Many numerical simulations in both one and two dimensions demonstrate the robustness and efficiency of the proposed approach.
Vorheriger Artikel Stabilized Times Schemes for High Accurate Finite Differences Solutions of Nonlinear Parabolic Equations
Nächster Artikel A Two-Stage Low Rank Approach for Calibrationless Dynamic Parallel Magnetic Resonance Image Reconstruction

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Metadaten
Titel
Minimizing Eigenvalues for Inhomogeneous Rods and Plates
verfasst von
Weitao Chen
Ching-Shan Chou
Chiu-Yen Kao
Publikationsdatum
24.05.2016
Verlag
Springer US
Erschienen in
Journal of Scientific Computing / Ausgabe 3/2016
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI
https://doi.org/10.1007/s10915-016-0222-9

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