Analytical solutions of Reddy, Timoshenko and Bernoulli beam models: a comparative analysis

DOI10.1016/j.euromechsol.2023.104953OpenAlexW4322123861MaRDI QIDQ2692875

Yanyan Li

Publication date: 17 March 2023

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

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2023.104953

zbMATH Keywords

generalized stressgeneralized strainfirst-order shear deformation modelthird-order shear deformation model

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Explicit solutions of equilibrium problems in solid mechanics (74G05)

Cites Work

• Unnamed Item
• Bending of FGM plates by a sinusoidal plate formulation and collocation with radial basis functions
• Geometric nonlinear analyses of functionally graded beams using a tailored Lagrangian formulation
• Avoiding shear locking for the Timoshenko beam problem via isogeometric collocation methods
• From the Euler-Bernoulli beam to the Timoshenko one through a sequence of Reddy-type shear deformable beam models of increasing order
• Nonlocal Reddy beam model for free vibration analysis of multilayer nanoribbons incorporating interlayer shear effect
• Active control of micro Reddy beam integrated with functionally graded nanocomposite sensor and actuator based on linear quadratic regulator method
• On wave propagation in two-dimensional functionally graded porous rotating nano-beams using a general nonlocal higher-order beam model
• A new hyperbolic shear deformation theory for bending and free vibration analysis of isotropic, functionally graded, sandwich and laminated composite plates
• A 2D warping theory for shear deformable elastic beams of axisymmetric cross section in flexure
• Static, free vibrational and buckling analysis of laminated composite beams using isogeometric collocation method
• A discrete differential geometry-based approach to buckling and vibration analyses of inhomogeneous Reddy plates
• Analysis of shear locking in Timoshenko beam elements using the function space approach
• Beam Structures
• A higher order beam finite element for bending and vibration problems
• A Simple Higher-Order Theory for Laminated Composite Plates
• The Shear Coefficient in Timoshenko’s Beam Theory

This page was built for publication: Analytical solutions of Reddy, Timoshenko and Bernoulli beam models: a comparative analysis