Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact non-Hookean scaling of cylindrically bent elastic sheets and the
  large-amplitude pendulum   A sheet of elastic foil rolled into a cylinder and deformed between two
parallel plates acts as a non-Hookean spring if deformed normally to the axis.
For large deformations the elastic force shows an interesting inverse squares
dependence on the interplate distance [Siber and Buljan, arXiv:1007.4699
(2010)]. The phenomenon has been used as a basis for an experimental problem at
the 41st International Physics Olympiad. We show that the corresponding
variational problem for the equilibrium energy of the deformed cylinder is
equivalent to a minimum action description of a simple gravitational pendulum
with an amplitude of 90 degrees. We use this analogy to show that the power-law
of the force is exact for distances less than a critical value. An analytical
solution for the elastic force is found and confirmed by measurements over a
range of deformations covering both linear and non-Hookean behavior.

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The categories of this paper are: supr-con
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom