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DYNAMIC STABILITY PROBLEM OF A NON-PRISMATIC ROD

✍ Scribed by P. RUTA

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
258 KB
Volume
250
Category
Article
ISSN
0022-460X

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✦ Synopsis

A dynamic sti!ness matrix for a non-prismatic rod "nite element resting on a two-parameter non-homogenous elastic foundation has been determined. To obtain the solution the shape function was approximated by Chebyshev series. This yielded closed analytical formulae for the coe$cients of the matrices sought. The "nite element obtained was used to solve the dynamic stability problem for a non-prismatic cantilever column. The results were compared with those reported by other authors.

2002 Academic Press * *X EJ(X)

and cross-sectional forces (3) are expressed by the formulae m(x)" M(ax)a EJ "!EJ *w *x , t(x)" ΒΉ(ax)a EJ "! * *x EJ *w *x !EJ *w *x #nN *w *x , (8) q(x)" Q(ax) EA

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