Journal of Applied Mathematics / 2013 / Article / Tab 1

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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