Collocation methods for the solution of von-Kármán dynamic nonlinear plate systems

DOI10.1016/j.jcp.2004.03.018zbMath1115.74344OpenAlexW2049129982MaRDI QIDQ1887743

David Gottlieb, Zohar Yosibash, Robert M. Kirby

Publication date: 22 November 2004

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2004.03.018

zbMATH Keywords

Aliasingvon-Kármán plate modelPolynomial filteringChebyshev-collocationLegendre-collocation

Mathematics Subject Classification ID

Plates (74K20) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

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Uses Software

• Matlab

Cites Work

• Dynamic and static nonlinear analysis of generally laminated imperfect plates having nonuniform boundary conditions and resting on elastic foundation
• Compatibility conditions for time-dependent partial differential equations and the rate of convergence of Chebyshev and Fourier spectral methods
• Solution of von Kármán dynamic nonlinear plate equations using a pseudo-spectral method.
• Uniform Stabilizability of a Full Von Karman System with Nonlinear Boundary Feedback
• Geometrically nonlinear vibration analysis of thin, rectangular plates using the hierarchical finite element method—I: The fundamental mode of isotropic plates
• Spectral Methods in MATLAB
• Spectral methods for hyperbolic problems
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