Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Large Deflections of Inextensible Cantilevers: Modeling, Theory, and
  Simulation   A recent large deflection cantilever model is considered. The principal
nonlinear effects come through the beam's inextensibility---local arc length
preservation---rather than traditional extensible effects attributed to fully
restricted boundary conditions. Enforcing inextensibility leads to: nonlinear
stiffness terms, which appear as quasilinear and semilinear effects, as well as
nonlinear inertia effects, appearing as nonlocal terms that make the beam
implicit in the acceleration.
  In this paper we discuss the derivation of the equations of motion via
Hamilton's principle with a Lagrange multiplier to enforce the effective
inextensibility constraint. We then provide the functional framework for weak
and strong solutions before presenting novel results on the existence and
uniqueness of strong solutions. A distinguishing feature is that the two types
of nonlinear terms prevent independent challenges: the quasilinear nature of
the stiffness forces higher topologies for solutions, while the nonlocal
inertia requires the consideration of Kelvin-Voigt type damping to close
estimates. Finally, a modal approach is used to produce mathematically-oriented
numerical simulations that provide insight to the features and limitations of
the inextensible model.

26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat