Civil Engineering Reference
In-Depth Information
Table 5.6
CPU time, shape coefficients and other statistics of the examples
Examples
Random
Planes
Surfaces
Curve 1
Curve 2
N
30,000
35,000
30,000
25,000
25,000
M
178,451
208,075
175,691
150,046
150,877
Max1
9
8
6
6
7
Avg1
2
2
2
2
2
Max2
10.94
3.58
3.17
5.53
6.08
Avg2
2.72
1.24
1.22
1.27
1.28
Max3
8.99
1.47
1.31
1.60
1.78
Avg3
0.324
0.115
0.118
0.119
0.120
Max4
-
2.09
2.12
2.24
2.24
Avg4
-
1.04
1.04
1.06
1.06
Max5
-
2.48
2.25
2.61
2.88
Avg5
-
1.12
1.12
1.13
1.14
Min6
0.0034
0.00196
0.00793
0.00240
0.00671
Avg6
0.642
0.786
0.79
0.770
0.765
CPU time(s)
171.72
227.35
197.08
219.66
220.98
Note:
Max1: Maximum number of rotations
Avg1: Average number of rotations
Max2:
max( ),
1
r
r
f
f
max,
f
f
i
j
(,
ij
12,
,
N
,)
=
=
=
i
i
j
ij
ij
f
ij
∑
Max3:
max(
1
N
=
Avg2:
[f ]
i
N
i
1
dr r
rr
−+
+
(
)
(
ij
i
j
gg
),
=
max
i,j
=
12
, ,
,
N
)
i
i
j
i
j
∑
Max4:
max,
1
N
Avg3:
[g ]
i
N
i
=
1
r
ρ
i
i
,(i
=
12
,, ,
N)
r
ρ
i
i
1
N
r
ρ
∑
1
N
i
i
Avg4:
max,
ρ
r
i
i
i
d
ij
Max5:
max(
h,h
)
ax
(i,j
12
,, ,
N)
=
=
i
i
j
4
ρρ
i
j
∑
Min6:
min(
1
N
Avg5:
h
i
N
i
=
1
volume
(sum of squaresofedges)
γ
),
γ
=
72 3
(
k
=
12
, ,
,
M
)
k
k
3 2
/
1/
M
∏
1
M
Avg6:
γ
k
k
where
N is the number of spheres (nodes);
M is the number of tetrahedral elements;
i and j are neighbouring spheres;
d
i,j
is the distance between spheres i and j;
ρ
i
is the specified radius of sphere i;
r
i
is the actual radius of sphere i; and
r
j
is the radius of the neighbouring spheres of i.
