Table 10: Comparison of normalized central moments, , of [0/90/0] spherical (r1/a = r2/a = 3) panels under uniform load for different a/h ratios, computed using three shear deformation theories .
Normalized Central Moment,, of [0/90/0] Spherical Panels (R1/a = R2/a = 3) under Uniform Load |
|||||
Boundary Condition
|
a/h
|
LCST (Zig-Zag) FEA [113] |
TSDT [95,96,101, 102] |
FSDT [115] |
Relative Degree of Shear Flexibility‡ (Zig-Zag vs. TSDT) |
SS1 [101,115] |
4 |
|
104.570 |
106.034 |
Zig-Zag theory yields somewhat greater shear-flexibility than TSDT (-8.451% vs. -1.497%) |
SS3 [113,115] |
4 |
96.04 |
103.335 |
104.905 |
|
SS4 [115] |
4 |
|
68.380 |
71.606 |
|
SS2/SS3 [95] |
4 |
|
77.602 |
80.555 |
|
C4/SS3 [96] |
4 |
|
32.718 |
|
|
C3 [102,115] |
4 |
|
31.176 |
|
|
SS1 [101,115] |
10 |
|
113.701 |
114.807 |
Zig-Zag theory yields slightly greater shear-flexibility than TSDT (-4.559% vs. -1.103%) |
SS3 [113,115] |
10 |
106.54 |
110.398 |
111.629 |
|
SS4 [115] |
10 |
|
48.564 |
50.331 |
|
SS2/SS3 [95] |
10 |
|
60.585 |
62.455 |
|
C4/SS3 [96] |
10 |
|
30.871 |
|
|
C3 [102,115] |
10 |
|
34.823 |
|