On new symplectic superposition method for exact bending solutions of rectangular cantilever thin plates

DOI10.1016/J.MECHRESCOM.2011.01.012zbMath1272.74403OpenAlexW2011079530MaRDI QIDQ366662

Bin Tian, Yang Zhong, Rui Li

Publication date: 13 September 2013

Published in: Mechanics Research Communications (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0093641311000140

zbMATH Keywords

exact solutionrectangular cantilever thin platesuperposition methodsymplectic geometry method

Mathematics Subject Classification ID

Plates (74K20) Explicit solutions of equilibrium problems in solid mechanics (74G05)

Related Items (10)

Hamiltonian partial mixed finite element-state space symplectic semi-analytical approach for the piezoelectric smart composites and FGM analysis ⋮ New analytic solutions for static problems of rectangular thin plates point-supported at three corners ⋮ Symplectic method based on generating function for receding horizon control of linear time-varying systems ⋮ Analytical bending solutions of free orthotropic rectangular thin plates under arbitrary loading ⋮ Dynamics of a rectangular thin plate with lumped mass under harmonic foundation and in‐plane excitations ⋮ Topology optimization of plate structures using plate element-based moving morphable component (MMC) approach ⋮ An extended separation-of-variable method for free vibration of rectangular Mindlin plates ⋮ A hybrid analytical and finite element method for mid-frequency vibration analysis of plate structures with discontinuities ⋮ Highly accurate symplectic element based on two variational principles ⋮ A Precise Time-Domain Expanding Crack-Tip Element for 3D Planar and Axial Dynamic Cracks

Cites Work

• Accurate bending analysis of rectangular plates with two adjacent edges free and the others clamped or simply supported based on new symplectic approach
• Bending of a cantilever rectangular plate loaded discontinuously
• Exact bending analysis of fully clamped rectangular thin plates subjected to arbitrary loads by new symplectic approach
• Physical interpretation of the symplectic orthogonality of the eigensolutions of a hamiltonian or symplectic matrix
• Application of Reissner’s Variational Principle to Cantilever Plate Deflection and Vibration Problems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On new symplectic superposition method for exact bending solutions of rectangular cantilever thin plates