A study of finite element spaces of uniform bars in free axial or torsional vibration from the viewpoint of bracketing of eigenvalues by ultimate and initial enforcement of bounds

DOI10.1016/S0022-460X(87)80190-6zbMath1235.74275MaRDI QIDQ2879750

Publication date: 5 April 2012

Published in: Journal of Sound and Vibration (Search for Journal in Brave)

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

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Energy Expressions and Free Vibration Analysis of a Rotating Uniform Timoshenko Beam Featuring Bending—torsion Coupling ⋮ Exact dynamic stiffness matrix for a thin-walled beam of doubly asymmetric cross-section filled with shear sensitive material ⋮ Flexural-flexural-torsional Nonlinear Vibrations of Pre-twisted Rotating Beams with Asymmetric Cross-sections

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