Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solving the boundary value problem for finite Kirchhoff rods   The Kirchhoff model describes the statics and dynamics of thin rods within
the approximations of the linear elasticity theory. In this paper we develop a
method, based on a shooting technique, to find equilibrium configurations of
finite rods subjected to boundary conditions and given load parameters. The
method consists in making a series of small changes on a {\it trial} solution
satisfying the Kirchhoff equations but not necessarily the boundary conditions.
By linearizing the differential equations around the trial solution we are able
to push its end point to the desired position, step by step. The method is also
useful to obtain configurations of rods with fixed end points but different
mechanical parameters, such as tension, components of the moment or
inhomogeneities.

31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
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The categories of this paper are: nlin
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: stat
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The categories of this paper are: plasm-ph