Effect of Coulomb Damping on Buckling of a Two-Rod System

This paper describes a significant influence of a slight Coulomb damping on buckling, using a simple two rods system. Coulomb damping produces equilibrium regions around the well-known stable and unstable steady states under the pitchfork bifurcation which occurs in the case without Coulomb damping....

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Bibliographic Details
Published in:Nonlinear dynamics 1998-03, Vol.15 (3), p.207-224
Main Authors: Yabuno, Hiroshi, Kurata, Yoshinori, Aoshima, Nobuharu
Format: Article
Language:English
Subjects:
Bifurcations
Buckling
Coulomb friction
Damping
Equilibrium
Postbuckling
Qualitative analysis
Steady state
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Summary:This paper describes a significant influence of a slight Coulomb damping on buckling, using a simple two rods system. Coulomb damping produces equilibrium regions around the well-known stable and unstable steady states under the pitchfork bifurcation which occurs in the case without Coulomb damping. Also, the stability of the states in the equilibrium regions is examined by using the phase portrait. As a consequence, due to the slight Coulomb damping, it is theoretically clarified that the states in the equilibrium regions are locally stable, even in the neighborhood of the unstable steady states under the pitchfork bifurcation in the case without Coulomb damping, i.e., even in the neighborhood of the unstable trivial steady states in the postbuckling and the unstable nontrivial steady states under the subcritical pitchfork bifurcation. Furthermore, the experimental results are in qualitative agreement with the theoretically predicted phenomena.
ISSN:0924-090X
1573-269X
DOI:10.1023/A:1008254105372