On the asymptotic nature of approximate models of beams, plates, and shells

DOI10.3103/S1063454107030041zbMath1152.74028OpenAlexW2012000031MaRDI QIDQ946004

Petr E. Tovstik

Publication date: 22 September 2008

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1063454107030041

zbMATH Keywords

free vibrationlinearly elastic orthotropic materialsmaterial stiffness

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Plates (74K20) Shells (74K25)

Related Items (9)

Veering of Rayleigh–Lamb waves in orthorhombic materials ⋮ Asymptotically correct boundary conditions for the higher-order theory of plate bending ⋮ Buckling of an axially compressed transversely isotropic cylindrical shell with a weakly supported curvilinear edge ⋮ Methods and guidelines for the choice of shell theories ⋮ Two-dimensional linear model of elastic shell accounting for general anisotropy of material ⋮ Unnamed Item ⋮ A Vekua‐type linear theory of thick elastic shells ⋮ Two-dimensional linear models of multilayered anisotropic plates ⋮ On criteria of estimation of the errors of cubature formulas

Cites Work

• On the 2D models of plates and shells including the transversal shear
• Unnamed Item

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