ISSN:
1573-2754
Schlagwort(e):
stability
;
chaos
;
averaging method
;
Galerkin method
;
viscoelastic column
;
O322
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Maschinenbau
,
Mathematik
,
Physik
Notizen:
Abstract The dynamical stability of a homogeneous, simple supported column, subjected to a periodic axial force, is investigated. The viscoelastic material is assumed to obey the Leaderman nonlinear constitutive relation. The equation of motion was derived as a nonlinear integro-partial-differential equation, and was simplified into a nonlinear integro-differential equation by the Galerkin method. The averaging method was employed to carry out the stability analysis. Numerical results are presented to compare with the analytical ones. Numerical results also indicate that chaotic motion appears.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1007/BF02459307
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