Research Article
Analysis of Laminated Shells by Murakami’s Zig-Zag Theory and Radial Basis Functions Collocation
Table 1
Nondimensional central deflection,
, and variation with various numbers of grid points per unit length,
, for different
ratios, for
.
| | | Method
| | | 5 | 10 | 20 | 50 | 100 | |
| | 10 | Present () | 6.8510 | 7.0818 | 7.1429 | 7.1609 | 7.1637 | 7.1649 | | 10 | Present () | 6.8516 | 7.0822 | 7.1433 | 7.1612 | 7.1640 | 7.1653 | | 10 | Present () | 6.8516 | 7.0822 | 7.1433 | 7.1612 | 7.1640 | 7.1653 | | 10 | HSDT [56] | 6.7688 | 7.0325 | 7.1016 | 7.1212 | 7.1240 | 7.125 | | 10 | FSDT [56] | 6.4253 | 6.6247 | 6.6756 | 6.6902 | 6.6923 | 6.6939 | | 100 | Present () | 1.0245 | 2.3658 | 3.5167 | 4.0714 | 4.1652 | 4.1975 | | 100 | Present () | 1.0250 | 2.3667 | 3.5181 | 4.0728 | 4.1667 | 4.1990 | | 100 | Present () | 1.0250 | 2.3669 | 3.5183 | 4.0731 | 4.1669 | 4.1992 | | 100 | HSDT [56] | 1.0321 | 2.4099 | 3.617 | 4.2071 | 4.3074 | 4.3420 | | 100 | FSDT [56] | 1.0337 | 2.4109 | 3.6150 | 4.2027 | 4.3026 | 4.3370 |
| | 10 | Present () | 6.7737 | 7.0012 | 7.0614 | 7.0791 | 7.0819 | 7.0831 | | 10 | Present () | 6.7742 | 7.0015 | 7.0618 | 7.0795 | 7.0822 | 7.0834 | | 10 | Present () | 6.7742 | 7.0015 | 7.0618 | 7.0795 | 7.0822 | 7.0834 | | 10 | HSDT [56] | 6.7865 | 7.0536 | 7.1237 | 7.1436 | 7.1464 | 7.1474 | | 10 | FSDT [56] | 6.3623 | 6.5595 | 6.6099 | 6.6244 | 6.6264 | 6.6280 | | 100 | Present () | 1.0190 | 2.3583 | 3.5125 | 4.0702 | 4.1647 | 4.1972 | | 100 | Present () | 1.0194 | 2.3593 | 3.5138 | 4.0717 | 4.1662 | 4.1987 | | 100 | Present () | 1.0195 | 2.3594 | 3.5140 | 4.0719 | 4.1664 | 4.1989 | | 100 | HSDT [56] | 1.0264 | 2.4024 | 3.6133 | 4.2071 | 4.3082 | 4.3430 | | 100 | FSDT [56] | 1.0279 | 2.4030 | 3.6104 | 4.2015 | 4.3021 | 4.3368 |
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