## 3 Comprehensive Frequency Parameter and Mode Shape Results
\begin{table}
\begin{tabular}{c c c c c c c c c c c c} \hline \hline \multirow{2}{*}{_Na_} & \multirow{2}{*}{_s_} & \multicolumn{1}{c}{\multirow{2}{*}{_First_}} & \multicolumn{1}{c}{**Second_**} & \multicolumn{1}{c}{**Third_**} & \multicolumn{1}{c}{**Fourth_**} & \multicolumn{1}{c}{**Fifth**} & \multicolumn{1}{c}{**Sighth_**} & \multicolumn{1}{c}{**Sighth_**} & \multicolumn{1}{c}{**Eighth_**} & \multicolumn{1}{c}{**Ninth_**} & \multicolumn{1}{c}{**Tenth**} \\ \hline  & 30 & 8.5065 & 30.961 & 64.141 & 70.967 & 92.929 & 128.83 & 139.49 & 199.85 & 202.56 & 208.64 \\  & 50 & 8.5063 & 30.958 & 64.141 & 70.964 & 92.924 & 128.81 & 139.49 & 199.85 & 202.53 & 208.62 \\
0.5 & 100 & 8.5062 & 30.955 & 64.140 & 70.963 & 92.923 & 128.80 & 139.48 & 199.84 & 202.52 & 208.61 \\  & 150 & 8.5061 & 30.954 & 64.140 & 70.962 & 92.922 & 128.79 & 139.47 & 199.83 & 202.51 & 208.60 \\  & 200 & 8.5061 & 30.954 & 64.140 & 70.962 & 92.922 & 128.79 & 139.47 & 199.83 & 202.51 & 208.60 \\  & 30 & 3.6116 & 4.4492 & 6.0963 & 8.5890 & 12.009 & 16.404 & 21.615 & 22.264 & 23.005 & 25.493 \\  & 50 & 3.6119 & 4.4494 & 6.0965 & 8.5892 & 12.010 & 16.405 & 21.615 & 22.262 & 23.002 & 25.489 \\
4.5 & 100 & 3.6120 & 4.4496 & 6.0967 & 8.5894 & 12.010 & 16.405 & 21.614 & 22.260 & 23.299 & 25.487 \\  & 150 & 3.6121 & 4.4497 & 6.0968 & 8.5895 & 12.010 & 16.405 & 21.614 & 22.259 & 23.298 & 25.486 \\  & 200 & 3.6121 & 4.4497 & 6.0968 & 8.5895 & 12.010 & 16.405 & 21.614 & 22.259 & 23.298 & 25.486 \\ \hline \hline \end{tabular}
\end{table} 
Table 8: Convergence of the dimensionless frequency parameter \(\phi\) for the CSFP plates with aspect ratio \(\chi\) equaling 0.5 and 4.5, respectively. \begin{table}
\begin{tabular}{c c c c c c c c c c c} \hline \hline \multirow{2}{*}{_Na_} & \multirow{2}{*}{_s_} & \multicolumn{1}{c}{\multirow{2}{*}{_First_}} & \multicolumn{1}{c}{**Second_**} & \multicolumn{1}{c}{**Third**} & \multicolumn{1}{c}{**Fourth_**} & \multicolumn{1}{c}{**Fifth**} & \multicolumn{1}{c}{**Sighth_**} & \multicolumn{1}{c}{**Sighth_**} & \multicolumn{1}{c}{**Sighth_**} & \multicolumn{1}{c}{**Eighth_**} & \multicolumn{1}{c}{**Ninth_**} & \multicolumn{1}{c}{**Tenth**} \\ \hline  & 30 & 8.5065 & 30.961 & 64.141 & 70.967 & 92.929 & 128.83 & 139.49 & 199.85 & 202.56 & 208.64 \\  & 50 & 8.5063 & 30.958 & 64.141 & 70.964 & 92.924 & 128.81 & 139.49 & 199.85 & 202.53 & 208.62 \\
0.5 & 100 & 8.5062 & 30.955 & 64.140 & 70.963 & 92.923 & 128.80 & 139.49 & 199.84 & 202.52 & 208.61 \\  & 150 & 8.5061 & 30.954 & 64.140 & 70.962 & 92.922 & 128.79 & 139.47 & 199.83 & 202.51 & 208.60 \\  & 200 & 8.5061 & 30.954 & 64.140 & 70.962 & 92.922 & 128.79 & 139.47 & 199.83 & 202.51 & 208.60 \\  & 30 & 3.6116 & 4.4492 & 6.0963 & 8.5890 & 12.009 & 16.404 & 21.615 & 22.264 & 23.005 & 25.493 \\  & 50 & 3.6119 & 4.4494 & 6.0965 & 8.5892 & 12.010 & 16.405 & 21.615 & 22.262 & 23.002 & 25.489 \\
4.5 & 100 & 3.6120 & 4.4496 & 6.0967 & 8.5894 & 12.010 & 16.405 & 21.614 & 22.260 & 23.299 & 25.487 \\  & 150 & 3.6121 & 4.4497 & 6.0968 & 8.5895 & 12.010 & 16.405 & 21.614 & 22.259 & 23.298 & 25.486 \\  & 200 & 3.6121 & 4.4497 & 6.0968 & 8.5895 & 12.010 & 16.405 & 21.614 & 22.259 & 23.298 & 25.486 \\ \hline \hline \end{tabular}
\end{table} 
Table 9: Convergence of the dimensionless frequency parameter \(\phi\) for the SSFP plates with aspect ratio \(\chi\) equaling 0.5 and 4.5, respectively.