Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Geometrically Exact Low Order Modelling of a Flexible Beam:
  Formulation and Numerical Tests   This paper proposes a low order geometrically exact flexible beam formulation
based on the utilisation of generic beam shape functions to approximate
distributed kinematic properties of the deformed structure. The proposed
nonlinear beam shapes approach is in contrast to the majority of geometrically
nonlinear treatments in the literature in which element based --- and hence
high order --- discretisations are adopted. The kinematic quantities
approximated specifically pertain to shear and extensional gradients as well as
local orientation parameters based on an arbitrary set of globally referenced
attitude parameters. In developing the dynamic equations of motion, an Euler
angle parameterisation is selected as it is found to yield fast computational
performance. The resulting dynamic formulation is closed using an example shape
function set satisfying the single generic kinematic constraint. The
formulation is demonstrated via its application to the modelling of a series of
static and dynamic test cases of both simple and non-prismatic structures; the
simulated results are verified using MSC Nastran and an element-based intrinsic
beam formulation. Through these examples it is shown that the nonlinear beam
shapes approach is able to accurately capture the beam behaviour with a very
minimal number of system states.

20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph