# Static and Dynamic Response of FG-CNT-Reinforced Rhombic Laminates
## 5 Numerical Results and Discussion
### Results and Discussion
#### 5.2.1 Free Vibration Analysis
Apart from this, the CCCC end support yields the highest dimensionless frequency parameter while the CFCF end support shows the lowest value among all considered boundary condition resulting from the fact that the higher constraints at support impart higher stiffness to the FG-CNTRC rhombic plate. The effect of the side-to-thickness ratio for various types of skew angles was presented in Table 13. The dimensionless fundamental frequency parameter for all type of CNT distribution was \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline \multirow{2}{*}{**Types**} & \multirow{2}{*}{\(\boldsymbol{V^{*}}_{\text{CNT}}\)} & \multirow{2}{*}{**Skew Angle**} & \multicolumn{4}{c}{**Boundary Condition**} \\ \cline{5-8}  & & & **CCSS** & **CSCS** & **CCFF** & **CFCF** \\ \hline UD & 0.11 & 15\({}^{\circ}\) & 17.5656 & 16.1325 & 17.1211 & 5.8025 \\  & & 30\({}^{\circ}\) & 18.3524 & 17.1106 & 17.4540 & 5.8490 \\  & & 45\({}^{\circ}\) & 20.7007 & 19.8447 & 18.4603 & 5.9919 \\  & & 60\({}^{\circ}\) & 28.2486 & 27.7948 & 21.7009 & 6.3069 \\  & 0.14 & 15\({}^{\circ}\) & 18.1342 & 16.7688 & 17.7012 & 6.2424 \\  & & 30\({}^{\circ}\) & 18.9229 & 17.7494 & 18.0355 & 6.2905 \\  & & 45\({}^{\circ}\) & 21.2864 & 20.5072 & 19.0480 & 6.4353 \\  & & 60\({}^{\circ}\) & 28.9146 & 28.5757 & 22.3161 & 6.7554 \\  & 0.17 & 15\({}^{\circ}\) & 21.8982 & 20.0801 & 21.3412 & 7.1743 \\  & & 30\({}^{\circ}\) & 22.8820 & 21.3025 & 21.7584 & 7.2326 \\  & & 45\({}^{\circ}\) & 25.8166 & 24.7178 & 23.0172 & 7.4116 \\  & & 60\({}^{\circ}\) & 35.2478 & 34.6467 & 27.0680 & 7.8059 \\ \hline FG-V & 0.11 & 15\({}^{\circ}\) & 17.0086 & 15.3184 & 16.5114 & 5.0487 \\  & & 30\({}^{\circ}\) & 17.8273 & 16.3356 & 16.8584 & 5.0936 \\  & & 45\({}^{\circ}\) & 20.2441 & 19.1336 & 17.8998 & 5.2408 \\  & & 60\({}^{\circ}\) & 27.9303 & 27.1387 & 21.2303 & 5.5617 \\  & 0.14 & 15\({}^{\circ}\) & 17.6618 & 16.0166 & 17.1825 & 5.4678 \\  & & 30\({}^{\circ}\) & 18.4787 & 17.0329 & 17.5285 & 5.5141 \\  & & 45\({}^{\circ}\) & 20.9045 & 19.8505 & 18.5709 & 5.6624 \\  & & 60\({}^{\circ}\) & 28.6673 & 27.9750 & 21.9207 & 5.9884 \\  & 0.17 & 15\({}^{\circ}\) & 21.2161 & 19.0620 & 20.5857 & 6.2207 \\  & & 30\({}^{\circ}\) & 22.2464 & 20.3420 & 21.0234 & 6.2774 \\  & & 45\({}^{\circ}\) & 25.2838 & 23.8570 & 22.3339 & 6.4629 \\  & & 60\({}^{\circ}\) & 34.9349 & 33.9038 & 26.5208 & 6.8657 \\ \hline FG-O & 0.11 & 15\({}^{\circ}\) & 15.2966 & 13.7187 & 14.7110 & 4.3016 \\  & & 30\({}^{\circ}\) & 16.1749 & 14.7745 & 15.0980 & 4.3467 \\  & & 45\({}^{\circ}\) & 18.6942 & 17.6072 & 16.2095 & 4.4929 \\  & & 60\({}^{\circ}\) & 26.5093 & 25.5699 & 19.6311 & 4.7975 \\  & 0.14 & 15\({}^{\circ}\) & 15.9573 & 14.3811 & 15.4087 & 4.6680 \\  & & 30\({}^{\circ}\) & 16.8163 & 15.4187 & 15.7844 & 4.7147 \\  & & 45\({}^{\circ}\) & 19.3078 & 18.2378 & 16.8762 & 4.8622 \\  & & 60\({}^{\circ}\) & 27.1313 & 26.2562 & 20.2771 & 5.1739 \\  & 0.17 & 15\({}^{\circ}\) & 19.1484 & 17.0768 & 18.4438 & 5.2956 \\  & & 30\({}^{\circ}\) & 20.2204 & 18.3681 & 18.9177 & 5.3519 \\  & & 45\({}^{\circ}\) & 23.3092 & 21.8497 & 20.2813 & 5.5337 \\  & & 60\({}^{\circ}\) & 32.9609 & 31.7016 & 24.4972 & 5.9132 \\ \hline FG-X & 0.11 & 15\({}^{\circ}\) & 18.2140 & 17.0254 & 17.7792 & 6.5860 \\  & & 30\({}^{\circ}\) & 19.0078 & 18.0146 & 18.1123 & 6.6352 \\  & & 45\({}^{\circ}\) & 21.3832 & 20.7913 & 19.1261 & 6.7811 \\  & & 60\({}^{\circ}\) & 29.0061 & 28.8746 & 22.3997 & 7.1022 \\  & & 15\({}^{\circ}\) & 18.7355 & 17.6246 & 18.2942 & 7.0150 \\  & & 30\({}^{\circ}\) & 19.5470 & 18.6364 & 18.6340 & 7.0670 \\  & & 45\({}^{\circ}\) & 21.9758 & 21.4797 & 19.6696 & 7.2180 \\  & & 60\({}^{\circ}\) & 29.7641 & 29.7602 & 23.0163 & 7.5489 \\  & 0.17 & 15\({}^{\circ}\) & 22.7038 & 21.2134 & 22.1242 & 8.1485 \\  & & 30\({}^{\circ}\) & 23.7285 & 22.4908 & 22.5506 & 8.2111 \\  & & 45\({}^{\circ}\) & 26.7784 & 26.0495 & 23.8494 & 8.3974 \\  & & 60\({}^{\circ}\) & 36.4902 & 36.3121 & 28.0370 & 8.8055 \\ \hline \hline \end{tabular}
\end{table}