Accurate bending analysis of rectangular thin plates with corner supports by a unified finite integral transform method

DOI10.1007/s00707-019-02488-7zbMath1428.74146OpenAlexW2969204883MaRDI QIDQ2285719

Yang Zhong, Jinghui Zhang, Rui Li, Salamat Ullah, Chao Zhou

Publication date: 8 January 2020

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-019-02488-7

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Plates (74K20)

Related Items (4)

Thermal buckling analysis of rotationally-restrained orthotropic thin plates utilizing a two-dimensional improved Fourier series approach ⋮ On the finite integral transform approach for analytic thermal buckling solutions of orthotropic plates ⋮ Buckling analysis of rectangular thin plates with two opposite edges free and others rotationally restrained by finite Fourier integral transform method ⋮ Nitsche's Method for Kirchhoff Plates

Cites Work

• Unnamed Item
• Unnamed Item
• On new symplectic elasticity approach for exact free vibration solutions of rectangular Kirchhoff plates
• A generalized layerwise higher-order shear deformation theory for laminated composite and sandwich plates based on isogeometric analysis
• On the finite integral transform method for exact bending solutions of fully clamped orthotropic rectangular thin plates
• Application of integral transforms in the theory of elasticity
• Integral transform solutions to the bending problems of moderately thick rectangular plates with all edges free resting on elastic foundations
• An improved moving Kriging-based meshfree method for static, dynamic and buckling analyses of functionally graded isotropic and sandwich plates
• A naturally stabilized nodal integration meshfree formulation for carbon nanotube-reinforced composite plate analysis
• Isogeometric analysis of laminated composite and sandwich plates using a new inverse trigonometric shear deformation theory
• A moving Kriging meshfree method with naturally stabilized nodal integration for analysis of functionally graded material sandwich plates
• Bending of rectangular orthotropic thin plates with rotationally restrained edges: a finite integral transform solution
• Benchmark bending solutions of rectangular thin plates point-supported at two adjacent corners
• Flexural vibration and buckling analysis of orthotropic plates by the boundary element method

This page was built for publication: Accurate bending analysis of rectangular thin plates with corner supports by a unified finite integral transform method