Accurate bending analysis of rectangular plates with two adjacent edges free and the others clamped or simply supported based on new symplectic approach
From MaRDI portal
Publication:969321
DOI10.1016/j.apm.2009.07.003zbMath1185.74045OpenAlexW2019331995MaRDI QIDQ969321
Publication date: 6 May 2010
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2009.07.003
Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Plates (74K20) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)
Related Items (17)
Analytical bending solutions of thin plates with two adjacent edges free and the others clamped or simply supported using finite integral transform method ⋮ Completeness of system of root vectors of upper triangular infinite-dimensional Hamiltonian operators appearing in elasticity theory ⋮ Analysis of tapered thin plates using basic displacement functions ⋮ On new symplectic superposition method for exact bending solutions of rectangular cantilever thin plates ⋮ Eigenvalue problem of a class of fourth-order Hamiltonian operators ⋮ Analytical bending solutions of free orthotropic rectangular thin plates under arbitrary loading ⋮ Analytical solution of the bending problem of free orthotropic rectangular thin plate on two‐parameter elastic foundation ⋮ Reply to ``Responses to `Accurate bending analysis of rectangular plates with two adjacent edges free and the others clamped or simply supported based on new symplectic approach' ⋮ Buckling analysis of rectangular thin plates with two opposite edges free and others rotationally restrained by finite Fourier integral transform method ⋮ Responses to ``Accurate bending analysis of rectangular plates with two adjacent edges free and the others clamped or simply supported based on new symplectic approach ⋮ A high-performance parametrized mixed finite element model for bending and vibration analyses of thick plates ⋮ Symplectic approach for the plane elasticity problem of quasicrystals with point group 10 mm ⋮ 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 analytical wave propagation model for damping and steady state forced vibration of orthotropic composite plate structure ⋮ Isogeometric collocation for Kirchhoff-Love plates and shells
Cites Work
- 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.
- 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
- An integral equation formulation of plate bending problems
- 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
- Hamiltonian system based Saint-Venant solutions for multi-layered composite plane anisotropic plates
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Accurate bending analysis of rectangular plates with two adjacent edges free and the others clamped or simply supported based on new symplectic approach
