Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytic Solutions of Von Karman Plate under Arbitrary Uniform Pressure
  (II): Equations in Integral Form   In this paper, the homotopy analysis method (HAM) is successfully applied to
solve the Von Karman's plate equations in the integral form for a circular
plate with the clamped boundary under an arbitrary uniform external pressure.
Two HAM-based approaches are proposed. One is for a given external load Q, the
other for a given central deflection. Both of them are valid for an arbitrary
uniform external pressure by means of choosing a proper value of the so-called
convergence-control parameters c_1 and c_2 in the frame of the HAM. Besides, it
is found that iteration can greatly accelerate the convergence of solution
series. In addition, we prove that the interpolation iterative method is a
special case of the HAM-based 1st-order iteration approach for a given external
load Q when c_1=-theta and c_2=-1, where theta denotes the interpolation
parameter of the interpolation iterative method. Therefore, like Zheng and
Zhou}, one can similarly prove that the HAM-based approaches are valid for an
arbitrary uniform external pressure, at least in some special cases such as
c_1=-theta and c_2=-1. Furthermore, it is found that the HAM-based iteration
approaches converge much faster than the interpolation iterative method. All of
these illustrate the validity and potential of the HAM for the famous Von
Karman's plate equations, and show the superiority of the HAM over perturbation
methods.

20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org