Three-dimensional vibratory characteristics of solid cylinders and some remarks on simplified beam theories
From MaRDI portal
Publication:675656
DOI10.1016/0020-7683(95)00004-TzbMath0877.73036OpenAlexW2090516210MaRDI QIDQ675656
Publication date: 15 December 1997
Published in: International Journal of Solids and Structures (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0020-7683(95)00004-t
frequency equationsintegral expressions for strain and kinetic energieslinear eigenvalue equationthree-dimensional energy functionalTimoshenko's shear deformable beam theorytwo-dimensional orthogonal polynomial functions
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45)
Related Items
Axially symmetric modes in finite cylinders --- the wave guide solution ⋮ Free vibration of an isotropic elastic skewed parallelepiped -- a closed form study ⋮ A direct approach for three-dimensional elasto-static and elasto-dynamic solutions in curvilinear cylindrical coordinates with application to classical cylinder problems ⋮ On the three-dimensional vibrations of elastic prisms with skew cross-section ⋮ Influence of graded agglomerated CNTs on vibration of CNT-reinforced annular sectorial plates resting on Pasternak foundation ⋮ A hierarchy of dynamic equations for solid isotropic circular cylinders ⋮ Free vibration analysis of a finite-length isotropic solid elliptic cylinder using exact three dimensional elasticity theory ⋮ Powerful FE approaches for Pochhammer's dispersion modelling ⋮ Axially symmetric modes in finite cylinders --- the wave guide solution