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Meshless Methods and Their Numerical Properties
book

Meshless Methods and Their Numerical Properties

by Hua Li, Shantanu S. Mulay
February 2013
Intermediate to advanced content levelIntermediate to advanced
447 pages
14h 16m
English
CRC Press
Content preview from Meshless Methods and Their Numerical Properties
Convergence and consistency analyses 175
The beam parameters are q = −3.0N, E = 3 × 10
7
Pa, v
0
= 0.3, length(L) =
20m, thickness(t) = 0.1m, and width(D) = 1.0m. The analytical solutions
of the deection and slope are, respectively,
wx
qx Lx
EI
dw x
dx
q
EI
xL Lx x
()
()
24
,and
()
12
46
22
223
=
=
−+
(4.57)
The problem is solved by the 41 uniform and random eld nodes separately
combined with the 41 cosine virtual nodes. The numerical solutions are
plotted in Figure4.23, and the numerical results match almost exactly with
the corresponding analytical values. The nonlinear electrostatic force eld
is then applied on the xed–xed beam as
qx ...
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Publisher Resources

ISBN: 9781466517462