Finite integral transform method for analytical solutions of static problems of cylindrical shell panels

DOI10.1016/j.euromechsol.2020.104033zbMath1477.74070OpenAlexW3022392749MaRDI QIDQ2190150

Dongqi An, Dian Xu, Rui Li, Yewang Su, Zhuofan Ni, Bo Wang

Publication date: 18 June 2020

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: http://dspace.imech.ac.cn/handle/311007/84726

zbMATH Keywords

analytical solutionlinear algebraic systemdouble finite integral transformnon-Levy cylindrical shell

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Shells (74K25)

Related Items

Generalized method of finite integral transformations in linear and nonlinear static problems for shallow shells ⋮ Equivalent-single-layer discontinuous Galerkin methods for static analysis of multilayered shells

Cites Work

• Unnamed Item
• Analysis of laminated doubly-curved shells by a layerwise theory and radial basis functions collocation, accounting for through-the-thickness deformations
• An integral transform and its applications in parameter estimation of LFM signals
• On new symplectic elasticity approach for exact free vibration solutions of rectangular Kirchhoff plates
• Dynamic response of clamped axially moving beams: integral transform solution
• 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
• A semi-analytical approach to analyze vibration characteristics of uniform and stepped annular-spherical shells with general boundary conditions
• Combined classical and generalized integral transform approaches for the analysis of the dynamic behavior of a damaged structure
• Variable kinematic models applied to free-vibration analysis of functionally graded material shells
• New exact series solutions for transverse vibration of rotationally-restrained orthotropic plates
• New analytical free vibration solutions of orthotropic rectangular thin plates using generalized integral transformation
• New analytic buckling solutions of rectangular thin plates with two free adjacent edges by the symplectic superposition method
• The free vibration of rectangular plates