13.7 Spline Finite Strip Method of Analysis of Plate Vibration
509
Table 13.3 Values of cross-sectional integrations of two standard B 3 -splines,
φ (1) φ (2) dy
φ (1)
S i j
φ (2)
Section
L 1
Section
L 2
Section
L 3
Section
L 4
×
1
140 ×
h
36
Section
L 4
1
60
129
20
Section
L 3
60
933
1188
129
Section
L 2
129
1188
933
60
Section
L 1
20
129
60
1
Table 13.4 Values of cross-segmental integrations of standard B 3 -spline and its first derivative
φ (1) φ
(2) dy
φ (1)
S i j
φ (2)
Section
L 1
Section
L 2
Section
L 3
Section
L 4
×
1
20 ×
1
36
Section
L 4
1
38
71
10
Section
L 3
18
183
150
9
Section
L 2
9
150
183
18
Section
L 1
10
71
38
1
Table 13.5 Values of cross-segmental integrations of the first derivatives of standard B 3 -splines,
φ
(1) φ
(2) dy
φ
(1)
S i j
φ
(2)
Section
L 1
Section
L 2
Section
L 3
Section
L 4
×
1
10 ×
1
36h
Section
L 4
3
36
21
18
Section
L 3
36
87
102
21
Section
L 2
21
102
87
36
Section
L 1
18
21
36
3