Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extended Hamilton's principle   Hamilton's principle is extended to have compatible initial conditions to the
strong form. To use a number of computational and theoretical benefits for
dynamical systems, the mixed variational formulation is preferred in the
systems other than particle systems. With this formulation and the Rayleigh's
dissipation function, we could have all the pertinent initial/boundary
conditions for both conservative and non-conservative dynamical system. Based
upon the extension framework of Hamilton's principle, the numerical method for
representative lumped parameter models is also developed through applying
Galerkin's method to time domain with the discussion of its numerical
properties and simulation results.

7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom