Theoretic solution of rectangular thin plate on foundation with four free edges by symplectic geometry method

DOI10.1007/S10483-006-0614-YzbMath1145.74023OpenAlexW1984182106MaRDI QIDQ945616

Yang Zhong, Yongshan Zhang

Publication date: 17 September 2008

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

Full work available at URL: https://doi.org/10.1007/s10483-006-0614-y

zbMATH Keywords

eigenfunction expansionWinkler modelHamilton canonical equations

Mathematics Subject Classification ID

Plates (74K20) Hamilton's equations (70H05)

Related Items (4)

New exact solutions for free vibrations of rectangular thin plates by symplectic dual method ⋮ Analytical bending solutions of free orthotropic rectangular thin plates under arbitrary loading ⋮ Transient response of rectangular plate on viscoelastic foundation under time-variable load based on fractional-order differential model ⋮ Symmetry of the point spectrum of infinite dimensional Hamiltonian operators and its applications

Cites Work

• Improved exponential discretization method for convection-diffusion equation
• Unnamed Item

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