Beam Dynamics Using a Generalized Beam Theory Based on the Solution of a Reference Beam Problem

DOI10.1007/978-3-030-47491-1_11zbMath1475.74080OpenAlexW3033944351MaRDI QIDQ3382712

Stephan Kugler, Justin Murin, Peter A. Fotiu

Publication date: 21 September 2021

Published in: Analysis of Shells, Plates, and Beams (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-47491-1_11

zbMATH Keywords

functionally graded materialwarpingsemi-analytical finite element methodthree-dimensional elasticity theorytorsion-distortion-coupling

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Inhomogeneity in solid mechanics (74E05) Finite element methods applied to problems in solid mechanics (74S05)

Cites Work

• New structural matrices for a beam element with shear deformation
• On the shear deformation coefficient in beam theory
• Validation of Bredt's formulas for beams with hollow cross sections by the method of asymptotic splitting for pure torsion and their extension to shear force bending
• Shear correction factors in Timoshenko's beam theory for arbitrary shaped cross-sections
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