Double eigenvalues for the uniform Timoshenko beam

DOI10.1016/S0893-9659(97)00048-7zbMath0891.73040OpenAlexW1967648533MaRDI QIDQ1372284

Joyce R. McLaughlin, Bruce Geist

Publication date: 12 November 1997

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(97)00048-7

zbMATH Keywords

boundary value problemnecessary and sufficient conditionasymptotic distribution of eigenvaluestwo linearly independent eigenfunctions

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45)

Related Items

Analytical solutions for Timoshenko beam-columns on elastic foundations, Spectral properties of a fourth order differential equation, First order solutions for the buckling loads of weakened Timoshenko columns, Double eigenvalues for the uniform Timoshenko beam, General analysis of Timoshenko beams on elastic foundation, Dynamic analysis of Timoshenko beams by the boundary element method, Natural frequencies and modes of a Timoshenko beam, On the completeness of root vectors of a certain class of differential operators, Soil-structure-interaction effects on the flexural vibrations of a cantilever beam, Eigenvalue formulas for the uniform Timoshenko beam: the free-free problem, Asymptotic formulas for the eigenvalues of the Timoshenko beam, Uniqueness for near-constant data in fourth-order inverse eigenvalue problems

Cites Work

• Double eigenvalues for the uniform Timoshenko beam
• The Effect of Rotatory Inertia and of Shear Deformation on the Frequency and Normal Mode Equations of Uniform Beams With Simple End Conditions
• The Shear Coefficient in Timoshenko’s Beam Theory