## 3 Results and Discussion
### Experimental Results
\begin{table}
\begin{tabular}{c c c c c c} \hline \hline \multirow{2}{*}{**Static Load**} & \multirow{2}{*}{**Zone Interface**} & \multicolumn{4}{c}{**Temperature [\({}^{\circ}\)C]**} \\ \cline{3-6}  & & \(-\)**20** & **0** & **+20** & **+40** \\ \hline \multirow{4}{*}{3.488} & \multirow{2}{*}{Direct coupling/amplification} & Frequency [Hz] & 15.9398 & 13.9783 & 12.2300 & 12.0621 \\  & & Transmissibility & 1.1004 & 1.1016 & 1.1003 & 1.1007 \\  & & Damping ratio & 1.0890 & 1.0821 & 1.0894 & 1.0869 \\ \cline{2-6}  & \multirow{2}{*}{Peak transmissibility} & Frequency [Hz] & 44.4331 & 40.1499 & 34.0133 & 32.5566 \\  & & Transmissibility & 8.8497 & 7.2479 & 6.7084 & 6.1717 \\  & & Damping ratio & 0.0565 & 0.0690 & 0.0745 & 0.0810 \\ \cline{2-6}  & \multirow{2}{*}{Amplification/attenuation} & Frequency [Hz] & 69.9528 & 63.9419 & 54.4190 & 52.4496 \\  & & Transmissibility & 0.9900 & 0.9876 & 0.9948 & 0.9989 \\  & & Damping ratio & & & & \\ \hline \multirow{4}{*}{4.651} & \multirow{2}{*}{Direct coupling/amplification} & Frequency [Hz] & 13.9783 & 12.4862 & 11.4133 & 10.6266 \\  & & Transmissibility & 1.1003 & 1.1012 & 1.1004 & 1.1026 \\  & & Damping ratio & 1.0894 & 1.0845 & 1.0886 & 1.0767 \\ \cline{2-6}  & \multirow{2}{*}{Peak transmissibility} & Frequency [Hz] & 42.6283 & 35.2904 & 31.0191 & 29.2830 \\  & & Transmissibility & 9.2423 & 6.9581 & 7.0325 & 7.3457 \\  & & Damping ratio & 0.0541 & 0.0719 & 0.0711 & 0.0681 \\ \cline{2-6}  & \multirow{2}{*}{Amplification/attenuation} & Frequency [Hz] & 67.4213 & 57.1164 & 47.6126 & 45.8895 \\  & & Transmissibility & 0.9940 & 0.9933 & 0.9979 & 0.9985 \\  & & Damping ratio & & & & \\ \hline \multirow{4}{*}{6.976} & \multirow{2}{*}{Direct coupling/amplification} & Frequency [Hz] & 11.9790 & 11.5455 & 10.9497 & 10.1481 \\  & & Transmissibility & 1.1011 & 1.1006 & 1.1001 & 1.1007 \\  & & Damping ratio & 1.0851 & 1.0879 & 1.0908 & 1.0870 \\ \cline{2-6}  & \multirow{2}{*}{Peak transmissibility} & Frequency [Hz] & 35.9468 & 32.8580 & 29.3506 & 28.1584 \\  & & Transmissibility & 9.2440 & 9.0860 & 9.6113 & 9.3520 \\  & & Damping ratio & 0.0541 & 0.0550 & 0.0520 & 0.0535 \\ \cline{2-6}  & \multirow{2}{*}{Amplification/attenuation} & Frequency [Hz] & 55.9444 & 51.1372 & 45.1554 & 43.9242 \\  & & Transmissibility & 0.9976 & 0.9984 & 0.9903 & 0.9931 \\ \hline \hline \end{tabular}
\end{table} 
Table 2: Vibration transmissibility and damping ratio of PE25 cushion material. \begin{table}
\begin{tabular}{c c c c c c} \hline \hline \multirow{2}{*}{**Static Load**} & \multirow{2}{*}{**Zone Interface**} & \multicolumn{4}{c}{**Temperature [\({}^{\circ}\)C]**} \\ \cline{3-6}  & & \(-\)**20** & **0** & **+20** & **+40** \\ \hline \multirow{4}{*}{3.488} & \multirow{2}{*}{Direct coupling/amplification} & Frequency [Hz] & 28.1584 & 21.2592 & 17.0411 & 15.0825 \\  & & Transmissibility & 1.1003 & 1.1014 & 1.1012 & 1.1011 \\  & & Damping ratio & 1.0894 & 1.0834 & 1.0845 & 1.0849 \\ \cline{2-6}  & \multirow{2}{*}{Peak transmissibility} & Frequency [Hz] & 84.3035 & 62.4857 & 48.1642 & 42.7266 \\  & & Transmissibility & 7.8330 & 7.4628 & 6.4579 & 6.2995 \\  & & Damping ratio & 0.0638 & 0.0670 & 0.0774 & 0.0794 \\ \hline \multirow{4}{*}{Amplification/attenuation} & Frequency [Hz] & 137.706 & 99.7429 & 75.3045 & 67.8889 \\  & & Transmissibility & 0.9956 & 0.9960 & 0.9950 & 0.9935 \\ \cline{1-1}  & & Damping ratio & & & & \\ \hline \hline \end{tabular}
\end{table} 
Table 3: Vibration transmissibility and damping ratio of PE30 cushion material.