## 4 Numerical Results and Discussion
### Parametric Study
\begin{table}
\begin{tabular}{c c c c c c c c c c} \hline \hline  & **R/_a_** & _a/h_** & **Method** & \multicolumn{6}{c}{**E\({}_{\text{1}}\)/E\({}_{\text{2}}\)**} \\ \cline{3-10}  & & & **3** & **10** & **20** & **30** & **40** & **50** \\ \hline \multirow{6}{*}{\(w^{*}\)} & \multirow{2}{*}{20} & BDM & 33.877 & 23.8006 & 17.047 & 13.171 & 10.655 & 8.902 \\  & & GDQ & 34.559 & 25.9268 & 20.218 & 16.769 & 14.392 & 12.638 \\ \cline{2-10}  & & BDM & 16.055 & 9.336 & 5.860 & 4.229 & 3.283 & 2.668 \\  & & GDQ & 17.222 & 12.108 & 9.130 & 7.444 & 6.314 & 5.494 \\ \cline{2-10}  & & BDM & 5.4233 & 2.7262 & 1.6004 & 1.1292 & 0.8699 & 0.705 \\  & & GDQ & 5.8318 & 3.665 & 2.6041 & 2.0677 & 1.7306 & 1.495 \\ \cline{2-10}  & & BDM & 41.708 & 31.449 & 24.464 & 20.277 & 17.427 & 15.346 \\  & & GDQ & 39.952 & 28.524 & 21.942 & 18.274 & 15.833 & 14.059 \\ \cline{2-10}  & & BDM & 37.953 & 28.482 & 21.977 & 18.077 & 15.429 & 13.500 \\  & & GDQ & 36.683 & 25.320 & 19.007 & 15.609 & 13.396 & 11.810 \\ \cline{2-10}  & & BDM & 36.995 & 27.699 & 21.311 & 17.487 & 14.895 & 13.010 \\  & & GDQ & 36.123 & 24.734 & 18.448 & 15.089 & 12.914 & 11.362 \\ \hline \multirow{6}{*}{\(\sigma_{x}{}^{*}\)} & \multirow{2}{*}{20} & BDM & 408.591 & 268.165 & 181.547 & 134.061 & 104.293 & 84.170 \\  & & GDQ & 420.420 & 294.297 & 218.847 & 175.913 & 147.473 & 127.130 \\ \cline{2-10}  & & BDM & 727.107 & 402.740 & 247.767 & 176.540 & 135.605 & 109.158 \\ \cline{2-10}  & & GDQ & 755.659 & 480.335 & 346.930 & 278.613 & 234.863 & 203.835 \\ \cline{2-10}  & & BDM & 696.610 & 332.097 & 193.171 & 136.115 & 104.819 & 85.020 \\  & & GDQ & 706.825 & 363.486 & 233.464 & 178.37 & 146.929 & 126.241 \\ \cline{2-10}  & & BDM & 344.536 & 231.245 & 159.110 & 118.960 & 93.386 & 75.828 \\  & & GDQ & 338.443 & 212.727 & 139.872 & 101.943 & 78.762 & 63.292 \\ \cline{2-10}  & & BDM & 932.956 & 647.333 & 459.655 & 352.222 & 282.161 & 233.055 \\  & & GDQ & 895.587 & 582.226 & 394.657 & 294.155 & 231.333 & 188.603 \\ \cline{2-10}  & & BDM & 1905.6 & 1336.1 & 958.7 & 740.8 & 597.8 & 496.9 \\  & & GDQ & 1808.3 & 1183.6 & 807.6 & 605.1 & 478 & 391.2 \\ \hline \hline \end{tabular}
\end{table} 
Table 4: Normalized central deflections of cross-ply [0\({}^{\circ}\)/90\({}^{\circ}\)] laminated shells under uniform load. \begin{table}
\begin{tabular}{c c c c c c c c c c c c} \hline \hline  & & & **[0\({}^{\circ}\)/90\({}^{\circ}\)]** & & & **[0\({}^{\circ}\)/90\({}^{\circ}\)/0\({}^{\circ}\)]** & & & **[0\({}^{\circ}\)/90\({}^{\circ}\)/90\({}^{\circ}\)/0\({}^{\circ}\)]** & \\ \hline \multirow{6}{*}{10} & \multirow{2}{*}{20} & BDM & 14.880 & 154.778 & 1850.1 & 10.950 & 1432.6 & 101.046 & 10.999 & 1489.3 & 110.386 \\  & & GDQ & 18.315 & 194.918 & 2323.4 & 10.811 & 1450.8 & 99.4543 & 10.864 & 1510.8 & 108.887 \\ \cline{2-10}  & & BDM & 4.9204 & 206.615 & 1460.8 & 2.485 & 1851.6 & 40.88 & 3.1181 & 2394 & 76.979 \\  & & GDQ & 8.1924 & 308.405 & 2690 & 2.508 & 1874.7 & 41.746 & 3.1443 & 2419.0 & 78.042 \\ \cline{2-10}  & & BDM & 1.3248 & 159.760 & 550.63 & 0.666 & 1778.9 & 9.1941 & 0.9236 & 2499.9 & 36.3349 \\  & & GDQ & 2.3004 & 201.457 & 1313.9 & 0.671 & 1792.5 & 9.9637 & 0.9304 & 2518.5 & 37.3247 \\ \hline \multirow{6}{*}{Plate} & \multirow{2}{*}{20} & BDM & 22.147 & 136.554 & 2785 & 28.660 & 944.08 & 269.434 & 20.966 & 769.890 & 200.210 \\  & & GDQ & 19.901 & 118.459 & 2466.0 & 27.058 & 1004.4 & 252.13 & 20.190 & 828.9 & 191.707 \\ \cline{2-10}  & & BDM & 19.818 & 399.629 & 6406.5 & 19.598 & 3048.2 & 436.80 & 15.786 & 2680.8 & 390.017 \\ \cline{2-10}  & & GDQ & 17.114 & 338.554 & 5439.2 & 19.469 & 3070.2 & 458.07 & 15.853 & 2681.5 & 389.6595 \\ \cline{2-10}  & & BDM & 19.193 & 837.166 & 1244.5 & 16.799 & 6544.3 & 793.02 & 14.137 & 5893.2 & 703.959 \\ \cline{2-10}  & & GDQ & 16.588 & 695.911 & 1058.2 & 17.976 & 6381.6 & 846.779 & 14.98 & 5622.0 & 741.542 \\ \hline \hline \end{tabular}
\end{table} 
Table 3: Normalized central deflections of cross-ply laminated shells under uniform load.