# Static and Dynamic Response of FG-CNT-Reinforced Rhombic Laminates
## 5 Numerical Results and Discussion
### Results and Discussion
#### 5.2.1 Free Vibration Analysis

Table 12: Variation of fundamental natural non-dimensional frequency parameters of FG-CNT-reinforced rhombic plate. increased along with the _a/h_ ratio. The dimensionless frequency parameter also increases with the aspect ratio of FG-CNTR-reinforced rhombic plate, as depicted in Figure 3. The results were calculated for skew angles of 15\({}^{\circ}\) and 30\({}^{\circ}\). The first four mode shapes for FG-V CNT-reinforced rhombic square plate having simply supported boundary condition and 30\({}^{\circ}\) skew angle are presented in Figure 4. \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline \multirow{2}{*}{**Types**} & \multirow{2}{*}{\(\boldsymbol{V^{\mathrm{*}}_{\mathrm{CNT}}}\)} & \multirow{2}{*}{**Skew Angle**} & \multicolumn{4}{c}{_a/h_} \\ \cline{3-8}  & & & **5** & **20** & **50** & **100** \\ \hline UD & 0.11 & 15\({}^{\circ}\) & 9.0743 & 18.2012 & 20.3073 & 20.6787 \\  & & 30\({}^{\circ}\) & 9.4150 & 18.9711 & 21.0669 & 21.4408 \\  & & 45\({}^{\circ}\) & 10.2558 & 21.3334 & 23.4743 & 23.8687 \\  & & 60\({}^{\circ}\) & 11.3999 & 29.4063 & 32.2438 & 32.8085 \\  & 0.14 & 15\({}^{\circ}\) & 9.3243 & 19.7973 & 22.5305 & 23.0303 \\  & & 30\({}^{\circ}\) & 9.5879 & 20.5395 & 23.2468 & 23.7472 \\  & & 45\({}^{\circ}\) & 10.4551 & 22.8478 & 25.5594 & 26.0749 \\  & & 60\({}^{\circ}\) & 11.6404 & 30.8885 & 34.2574 & 34.9408 \\  & 0.17 & 15\({}^{\circ}\) & 11.3132 & 22.4497 & 24.9546 & 25.3933 \\  & & 30\({}^{\circ}\) & 11.7725 & 23.4173 & 25.9121 & 26.3544 \\  & & 45\({}^{\circ}\) & 12.8172 & 26.3808 & 28.9389 & 29.4075 \\  & & 60\({}^{\circ}\) & 14.2430 & 36.4827 & 39.9125 & 40.5928 \\ \hline FG-V & 0.11 & 15\({}^{\circ}\) & 8.7986 & 15.5123 & 16.6902 & 16.8853 \\  & & 30\({}^{\circ}\) & 9.4269 & 16.4011 & 17.5995 & 17.8014 \\  & & 45\({}^{\circ}\) & 10.2475 & 19.0147 & 20.3313 & 20.5637 \\  & & 60\({}^{\circ}\) & 11.3736 & 27.4772 & 29.5441 & 29.9513 \\  & 0.14 & 15\({}^{\circ}\) & 9.1228 & 16.9116 & 18.4397 & 18.6988 \\  & & 30\({}^{\circ}\) & 9.6238 & 17.7666 & 19.3058 & 19.5706 \\  & & 45\({}^{\circ}\) & 10.4761 & 20.3260 & 21.9636 & 22.2570 \\  & & 60\({}^{\circ}\) & 11.6465 & 28.7997 & 31.1984 & 31.6713 \\  & 0.17 & 15\({}^{\circ}\) & 10.9766 & 19.0705 & 20.4470 & 20.6737 \\  & & 30\({}^{\circ}\) & 11.8498 & 20.1959 & 21.5996 & 21.8348 \\  & & 45\({}^{\circ}\) & 12.8769 & 23.4938 & 25.0480 & 25.3214 \\  & & 60\({}^{\circ}\) & 14.2886 & 34.1237 & 36.6062 & 37.0957 \\ \hline FG-O & 0.11 & 15\({}^{\circ}\) & 8.0040 & 13.1635 & 13.9508 & 14.0776 \\  & & 30\({}^{\circ}\) & 8.7975 & 14.0945 & 14.9077 & 15.0418 \\  & & 45\({}^{\circ}\) & 10.2194 & 16.7496 & 17.6897 & 17.8561 \\  & & 60\({}^{\circ}\) & 11.3501 & 25.0679 & 26.6826 & 27.0149 \\  & & 15\({}^{\circ}\) & 8.3081 & 14.3293 & 15.3437 & 15.5098 \\  & & 30\({}^{\circ}\) & 9.1008 & 15.2139 & 16.2464 & 16.4188 \\  & & 45\({}^{\circ}\) & 10.4216 & 17.7910 & 18.9359 & 19.1387 \\  & & 60\({}^{\circ}\) & 11.5944 & 26.0648 & 27.8938 & 28.2650 \\  & 0.17 & 15\({}^{\circ}\) & 9.9887 & 16.1395 & 17.0377 & 17.1815 \\  & & 30\({}^{\circ}\) & 10.9641 & 17.2789 & 18.2081 & 18.3607 \\  & & 45\({}^{\circ}\) & 12.7826 & 20.5334 & 21.6118 & 21.8026 \\  & & 60\({}^{\circ}\) & 14.1922 & 30.7514 & 32.6180 & 33.0048 \\ \hline FG-X & 0.11 & 15\({}^{\circ}\) & 9.2309 & 21.2410 & 24.8589 & 25.5557 \\  & & 30\({}^{\circ}\) & 9.4901 & 21.9714 & 25.5444 & 26.2392 \\  & & 45\({}^{\circ}\) & 10.3425 & 24.2577 & 27.7886 & 28.4923 \\  & & 60\({}^{\circ}\) & 11.5036 & 32.2825 & 36.4515 & 37.3272 \\  & 0.14 & 15\({}^{\circ}\) & 9.4307 & 22.9391 & 27.5913 & 28.5358 \\  & & 30\({}^{\circ}\) & 9.6990 & 23.6674 & 28.2521 & 29.1913 \\  & & 45\({}^{\circ}\) & 10.5801 & 25.9622 & 30.4437 & 31.3820 \\  & & 60\({}^{\circ}\) & 11.7856 & 34.0782 & 39.1212 & 40.2237 \\  & 0.17 & 15\({}^{\circ}\) & 11.6432 & 26.2338 & 30.6098 & 31.4489 \\  & & 30\({}^{\circ}\) & 11.9640 & 27.1943 & 31.5188 & 32.3564 \\  & & 45\({}^{\circ}\) & 13.0307 & 30.1785 & 34.4733 & 35.3262 \\  & & 60\({}^{\circ}\) & 14.4875 & 40.5269 & 45.7146 & 46.8021 \\ \hline \hline \end{tabular}
\end{table}