Symplectic eigenfunction expansion theorem for elasticity of rectangular planes with two simply-supported opposite sides

DOI10.1007/S10483-010-1357-9zbMath1214.47018OpenAlexW1481917439MaRDI QIDQ605249

Alatancang Chen, Guo Lin Hou

Publication date: 23 November 2010

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-010-1357-9

zbMATH Keywords

Hamiltonian operatorplane linear elasticitycompleteness of eigenfunction systems

Mathematics Subject Classification ID

Classical linear elasticity (74B05) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (1)

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Cites Work

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• On new symplectic elasticity approach for exact free vibration solutions of rectangular Kirchhoff plates
• Completeness in the sense of Cauchy principal value of the eigenfunction systems of infinite dimensional Hamiltonian operator
• The Hamiltonian equations in some mathematics and physics problems
• Pseudo-division algorithm for matrix multivariable polynomial and its application
• Exact bending analysis of fully clamped rectangular thin plates subjected to arbitrary loads by new symplectic approach
• An exact symplectic geometry solution for the static and dynamic analysis of Reissner plates
• Completeness of Eigenfunction Systems for Off-Diagonal Infinite-Dimensional Hamiltonian Operators

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