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Vibrations of timoshenko beam‐columns on two‐parameter elastic foundations
Author(s) -
Yokoyama T.
Publication year - 1991
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.4290200405
Subject(s) - timoshenko beam theory , beam (structure) , vibration , rotary inertia , foundation (evidence) , stiffness matrix , structural engineering , finite element method , stiffness , bending stiffness , discretization , mechanics , deformation (meteorology) , physics , inertia , classical mechanics , engineering , mathematics , mathematical analysis , acoustics , law , meteorology , political science
A finite element procedure is developed for analysing the flexural vibrations of a uniform Timoshenko beam‐column on a two‐parameter elastic foundation. The beam‐column is discretized into a number of simple elements with four degrees of freedom each. The governing matrix equation for small‐amplitude, free vibrations of the beam‐column on the elastic foundation is derived from Hamilton's principle. Several numerical examples are provided to show the effects of axial force, foundation stiffness parameters, partial elastic foundation, shear deformation and rotatory inertia on the natural frequencies of the beam‐column.