Flexural-torsional vibrations of beams by BEM

DOI10.1007/s00466-006-0039-8zbMath1188.74079OpenAlexW2131138464MaRDI QIDQ1015559

Evangelos J. Sapountzakis, George C. Tsiatas

Publication date: 8 May 2009

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-006-0039-8

zbMATH Keywords

boundary integral equationEuler-Bernoulli beamsanalog equation method

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Boundary element methods applied to problems in solid mechanics (74S15)

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On coupled bending-torsional vibrations of beams with initial loads ⋮ A novel statistical linearization solution for randomly excited coupled bending-torsional beams resting on non-linear supports ⋮ Triply coupled vibrational band gap in a periodic and nonsymmetrical axially loaded thin-walled Bernoulli-Euler beam including the warping effect ⋮ Derivation of stiffness and flexibility for rods and beams by using dual integral equations ⋮ On the spurious eigensolutions for the real-part boundary element method ⋮ Coupled bending-torsional frequency response of beams with attachments: exact solutions including warping effects ⋮ Shear deformation effect in flexural-torsional vibrations of beams by BEM ⋮ Exact frequency response of two-node coupled bending-torsional beam element with attachments

Cites Work

• Dynamic analysis of elastic plates reinforced with beams of doubly-symmetrical cross section
• On coupled bending and torsional vibration of uniform beams
• Coupled Bending and Torsional Vibrations of Restrained Thin-Walled Beams
• The analog equation method: A boundary-only integral equation method for nonlinear static and dynamic problems in general bodies
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