A symplectic eigenfunction expansion approach for free vibration solutions of rectangular Kirchhoff plates

DOI10.1177/1077546312448503zbMath1349.74166OpenAlexW2134227365MaRDI QIDQ2835557

Eburilitu Bai, Alatancang Chen

Publication date: 29 November 2016

Published in: Journal of Vibration and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1077546312448503

zbMATH Keywords

Kirchhoff platecompletenessHamiltonian operatorfree vibrationsymplectic elasticity

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10)

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A semi-analytical method for the dispersion analysis of orthotropic composite plates with periodically attached acoustic black hole resonators

Cites Work

• New exact solutions for free vibrations of rectangular thin plates by symplectic dual method
• On new symplectic elasticity approach for exact free vibration solutions of rectangular Kirchhoff plates
• The quasi-static analysis for the viscoelastic hollow circular cylinder using the symplectic system method
• On new symplectic approach for exact bending solutions of moderately thick rectangular plates with two opposite edges simply supported
• Completeness in the sense of Cauchy principal value of the eigenfunction systems of infinite dimensional Hamiltonian operator
• The Hamiltonian system and completeness of symplectic orthogonal system
• Completeness of Eigenfunction Systems for Off-Diagonal Infinite-Dimensional Hamiltonian Operators
• On Feasibility of Variable Separation Method Based on Hamiltonian System for a Class of Plate Bending Equations
• The free vibration of rectangular plates

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