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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
Stability analyses 243
the DQ weighting coefcients for the rst-order derivative. The discretised
beam equation at the virtual node
xt
(, )
ij
by the RDQ method is given as
+
ρ
×
=
++
+
+
−−
++
+
+
bb b
v
v
v
EI
A
www
ww
v
v
v
v
v
{}{( )( )( )
()()}0
jj jj jj
i
j
i
j
i
j
ii ii ii
ii ii
i
j
i
j
i
j
i
j
i
j
,,1,2
1
2
,2
4
,1
4
,
4
,1
4
,2
4
2
1
1
2
(5.64)
The values of the fourth order DQ weighting coefcients in Equation (5.64)
are computed by recursively applying Equation (5.63) with m = 4. The nal
equation of transverse beam deection in the discretised form is given as
+
ρ
−−
=
+
+
+
+
v
v
v
EI k
Ah
v
v
v
v
v
{1 21}{14641} 0
i
j
i
j
i
j
i
j
i
j
i
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Publisher Resources

ISBN: 9781466517462