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Abstract
The special solutions of the Kirchhoff equations, which are those rela tive to fixed coordinate system, principal coordinate system of a cross section of the rod, and Frenet coordinate system of the central line of the rod, respect ively, are derived in this paper. Lyapunov stability of these solutions is disc us sed by use of theory on the first-approximation stability, and at the same time stability area in parameter's plane is given.

Keywords:
superthin elastic rod/

Kirchhoff equation/

special solution/

Lyapunov stabilit y
Authors and contacts
Xue Yun²,

Chen Li-Qun¹,

Liu Yan－Zhu³
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Vol. 53, Issue 12 - 2004-06-20

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