On new symplectic approach for exact bending solutions of moderately thick rectangular plates with two opposite edges simply supported
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Publication:546757
DOI10.1016/j.ijsolstr.2009.02.001zbMath1217.74077OpenAlexW2151611828MaRDI QIDQ546757
Yang Zhong, Yuemei Liu, Bin Tian, Rui Li
Publication date: 24 June 2011
Published in: International Journal of Solids and Structures (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ijsolstr.2009.02.001
Related Items (13)
Integral transform solutions to the bending problems of moderately thick rectangular plates with all edges free resting on elastic foundations ⋮ Two-dimensional complete rational analysis of functionally graded beams within symplectic framework ⋮ A hybrid-stress element based on Hamilton principle ⋮ An analytical approach for the mixed-mode crack in linear viscoelastic media ⋮ Symplectic method based on generating function for receding horizon control of linear time-varying systems ⋮ Nonlinear bending behavior of 3D braided rectangular plates subjected to transverse loads in thermal environments ⋮ Three-dimensional elasticity solutions for rectangular orthotropic plates ⋮ Review of solution methodologies for structural analysis of composites ⋮ On a new symplectic geometry method for exact bending solutions of orthotropic rectangular plates with two opposite sides clamped ⋮ Electroelastic singularities and intensity factors for an interface crack in piezoelectric-elastic bimaterials ⋮ Analytical solutions of refined plate theory for bending, buckling and vibration analyses of thick plates ⋮ Hamiltonian system-based analytic modeling of the free rectangular thin plates' free vibration ⋮ A symplectic eigenfunction expansion approach for free vibration solutions of rectangular Kirchhoff plates
Cites Work
- Unnamed Item
- On numerical calculation in symplectic approach for elasticity problems
- Closed form stress distribution in 2D elasticity for all boundary conditions
- Hamiltonian principle based stress singularity analysis near crack corners of multi-material junctions.
- Symplectic solution system for Reissner plate bending
- Reciprocal theorem method for solving the problems of bending of thick rectangular plates
- Meshless methods for shear-deformable beams and plates
- Static analysis of Mindlin plates: The differential quadrature element method (DQEM)
- On new symplectic elasticity approach for exact bending solutions of rectangular thin plates with two opposite sides simply supported
- Bending analysis of rectangular moderately thick plates using spline finite element method
- The boundary layer phenomena in two-dimensional transversely isotropic piezoelectric media by exact symplectic expansion
- Method of separation of variables and Hamiltonian system
- Physical interpretation of the symplectic orthogonality of the eigensolutions of a hamiltonian or symplectic matrix
- On bending of elastic plates
- On the Theory of Bending of Elastic Plates
- Hamiltonian system based Saint-Venant solutions for multi-layered composite plane anisotropic plates
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