## 5 Results and Discussions
### Parameter Studies
\begin{table}
\begin{tabular}{c c c c c c c c} \hline b/L & b/h & Method & \(E_{1}\)/\(E_{2}\) & & & \\ \hline  & & 3 & 10 & 20 & 30 & 40 & 50 \\ \hline
0.5 & 20 & RPT [15] & 2.3220 & 3.5230 & 4.7060 & 5.6190 & 6.3810 & 7.0410 \\  & & DTM [53] & - & - & - & - & - \\  & & TCM [53] & - & - & - & - & - \\  & & DSM & 2.3310 & 3.5250 & 4.6990 & 5.6180 & 6.3740 & 7.0010 \\  & & FEM & 2.3013 & 3.4995 & 4.6668 & 4.5382 & 6.2941 & 6.9261 \\  & & Error (\%) & 0.0431 & 0.0284 & 0.1490 & 0.0178 & 0.1098 & 0.5713 \\  & & RPT [15] & 2.3320 & 3.5550 & 4.7800 & 5.7450 & 6.5660 & 7.2910 \\  & & DTM [53] & - & - & - & - & - \\  & & TCM [53] & - & - & - & - & - \\  & & DSM & 4.2160 & 4.9920 & 5.8240 & 6.5770 & 7.2540 & 7.8450 \\  & & FEM & 4.1595 & 4.9287 & 5.8066 & 6.5343 & 7.1612 & 7.7141 \\  & & Error (\%) & 0.0000 & 0.0601 & 1.2534 & 1.2924 & 1.1304 & 1.2365 \\ \hline \end{tabular}
\end{table} 
Table 7: Comparison of the fundamental frequency parameters \(\left(\omega=\omega\frac{k^{2}}{h}\sqrt{\frac{p}{E_{2}}}\right)\) of an orthotropic plate with the FC boundary conditions. \begin{table}
\begin{tabular}{c c c c c c c c c} \hline b/L & b/h & Method & \(E_{\textbf{1}}\)/\(E_{\textbf{2}}\) & & & & \\ \hline  & & & 3 & 10 & 20 & 30 & 40 & 50 \\ \hline  & 50 & RPT [15] & 4.2500 & 5.0480 & 5.9820 & 6.7820 & 7.4940 & 8.1420 \\  & & DTM [53] & - & - & - & - & - & - \\  & & DCM [53] & - & - & - & - & - & - \\  & & DSM & 4.2450 & 5.0120 & 5.8440 & 6.4510 & 7.4240 & 8.0140 \\  & & FEM & 4.2402 & 5.0346 & 5.9620 & 6.7541 & 7.4569 & 8.0942 \\  & & Error (\%) & 0.1178 & 0.7183 & 2.3614 & 5.1310 & 0.9429 & 1.5972 \\ \hline
2 & 20 & RPT [15] & 12.2640 & 12.5540 & 12.9420 & 13.3020 & 13.6470 & 13.9780 \\  & & DTM [53] & - & - & - & - & - \\  & & TCM [53] & - & - & - & - & - \\  & & DSM & 12.1240 & 12.4510 & 12.8450 & 13.2040 & 13.6140 & 13.8540 \\  & & FEM & 11.8526 & 12.4252 & 12.7885 & 13.1213 & 13.4293 & 13.7178 \\  & & Error (\%) & 1.1547 & 0.8272 & 0.7552 & 0.7422 & 0.2424 & 0.8950 \\
50 & RPT [15] & 12.5670 & 12.8740 & 13.2880 & 13.6750 & 14.0460 & 14.4050 \\  & & DTM [53] & - & - & - & - & - \\  & & DCM & 12.4570 & 12.7450 & 13.1440 & 13.2470 & 14.0440 & 14.4020 \\  & & FEM & 12.2274 & 12.5838 & 13.2596 & 13.6953 & 14.0022 & 14.3510 \\  & & Error (\%) & 0.8830 & 1.0122 & 1.0956 & 3.2309 & 0.0142 & 0.0208 \\ \hline \end{tabular}
\end{table} 
Table 7: _Cont._ \begin{table}
\begin{tabular}{c c c c c c c c} \hline b/L & b/h & Method & \(E_{\textbf{1}}\)/\(E_{\textbf{2}}\) & & & \\ \hline  & & & 3 & 10 & 20 & 30 & 40 & 50 \\ \hline
0.5 & 20 & RPT [15] & 2.3250 & 2.3260 & 2.3260 & 2.3260 & 2.3260 \\  & & DTM [53] & - & - & - & - & - \\  & & TCM [53] & - & - & - & - & - \\  & & DCM [53] & - & - & - & - & - \\  & & DCM [53] & - & - & - & - & - \\  & & DCM & 2.3312 & 2.335 & 2.3325 & 2.3328 & 2.3320 \\  & & FEM & 2.3315 & 2.3315 & 2.3325 & 2.3325 & 2.3325 & 2.3325 \\  & & Error (\%) & \(-0.0086\) & \(-0.1716\) & \(-0.0086\) & \(-0.0214\) & \(-0.0343\) & 0.0000 \\ \hline
1 & 20 & RPT [15] & 2.8380 & 2.8300 & 2.8290 & 2.8290 & 2.8290 \\  & & DTM [53] & - & - & - & - & - \\  & & DCM [53] & - & - & - & - & - \\  & & DSM & 2.8140 & 2.8244 & 2.8344 & 2.8344 & 2.8344 & 2.8344 \\  & & FEM & 2.8440 & 2.8371 & 2.8364 & 2.8466 & 2.8466 \\  & & Error (\%) & 0.8529 & 0.1983 & \(-0.1905\) & \(-0.1905\) & \(-0.1905\) \\
50 & & RPT [15] & 2.8560 & 2.8470 & 2.8460 & 2.8460 & 2.8460 \\  & & DTM [53] & - & - & - & - & - \\  & & TCM [53] & - & - & - & - & - \\  & & DSM & 2.8488 & 2.8444 & 2.8442 & 2.8442 & 2.8442 \\  & & FEM & 2.8626 & 2.8543 & 2.8534 & 2.8549 & 2.8549 \\  & & Error (\%) & 0.2527 & 0.0914 & 0.0633 & 0.0633 & 0.0633 \\ \hline \end{tabular}
\end{table} 
Table 8: Comparison of the fundamental frequency parameters \(\left(\omega=\omega\frac{\psi^{2}}{h}\sqrt{\frac{P}{E_{2}}}\right)\) of an orthotropic plate with the FF boundary conditions.