## 4 Experimental Examples
\begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Angles** & & \(55^{\circ}\) & \(40^{\circ}\) & \(30^{\circ}\) & \(15^{\circ}\) \\ \hline \multirow{5}{*}{**FBG strain/\(\upmu\varepsilon\)**} & \(\epsilon_{1}\) & \(-20\) & \(-62\) & \(-101\) & \(-173\) \\  & \(\epsilon_{2}\) & \(-485\) & \(-431\) & \(-376\) & \(-263\) \\  & \(\epsilon_{3}\) & \(-111\) & \(-115\) & \(-117\) & \(-112\) \\  & \(\epsilon_{4}\) & \(-345\For the support 2, the displacement and calibration error as shown in Table 4, and corresponding FBG strains and temperature compensation as shown in Table 5.  
For the support 3, the displacement and calibration error as shown in Table 6, and corresponding FBG strains and temperature compensation as shown in Table 7.  
For the support 4, the displacement and calibration error as shown in Table 8, and corresponding FBG strains and temperature compensation as shown in Table 9.  
It can be seen from Tables 2-9 that the reconstructed displacements for the end of the support legs can be calibrated well at different elevation angles using the small sample self-architected fuzzy calibration algorithm proposed in this paper. The percentage displacement errors in the x, y, and z directions do not exceed 4% after calibrating the four support legs. In particular, for the elevation angle at 40 degrees, the y-direction displacement percentage error at the end of the No. 1 support leg is 0%. It can be seen from the actual displacements in the x, y, and z directions that the y direction is the main deformation direction. In most cases, the calibration error in the y direction is less than that in the \(x\) and \(z\) directions when the deformation is large. This suggests that the presented calibration scheme in this paper has better calibration ability for the main deformation direction. \begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Angles** & & **x Direction** & **y Direction** & **z Direction** \\ \hline \multirow{6}{*}{\(\mathbf{55^{\circ}}\)} & \(u^{act}\) & 1.67 mm & 16.76 mm & 4.66 mm \\  & \(u^{FEM}\) & 1.40 mm & 18.86 mm & 6.35 mm \\  & \(u^{cal}\) & 1.63 mm & 16.53 mm & 4.68 mm \\  & \(\delta(\%)\) & 2.4\% & 1.37\% & 0.43\% \\  & \(u^{act}\) & 1.40 mm & 14.00 mm & 3.90 mm \\  & \(u^{FEM}\) & 1.16 mm & 15.53 mm & 5.22 mm \\  & \(u^{cal}\) & 1.38 mm & 13.97 mm & 3.94 mm \\  & \(\delta(\%)\) & 1.43\% & 0.21\% & 1.03\% \\  & \(u^{act}\) & 1.16 mm & 11.38 mm & 3.14 mm \\
**30\({}^{\circ}\)** & \(u^{FEM}\) & 0.89 mm & 12.04 mm & 4.08 mm \\  & \(u^{cal}\) & 1.15 mm & 11.36 mm & 3.11 mm \\  & \(\delta(\%)\) & 0.86\% & 0.18\% & 0.96\% \\  & \(u^{act}\) & 0.68 mm & 6.12 mm & 1.57 mm \\
**15\({}^{\circ}\)** & \(u^{FEM}\) & 0.44 mm & 6.02 mm & 2.08 mm \\  & \(u^{cal}\) & 0.67 mm & 6.01 mm & 1.53 mm \\  & \(\delta(\%)\) & 1.47\% & 1.8\% & 2.55\% \\ \hline \hline \end{tabular}
\end{table} 
Table 4: Displacement and calibration error for No. 2 support leg. \begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Angles** & & \(\mathbf{55^{\circ}}\) & \(\mathbf{40^{\circ}}\) & \(\mathbf{30^{\circ}}\) & \(\mathbf{15^{\circ}}\) \\ \hline \multirow{6}{*}{\(\mathbf{FBG strain/\mu\varepsilon}\)} & \(\varepsilon_{1}\) & \(-237\) & \(-237\) & \(-238\) & \(-227\) \\  & \(\varepsilon_{2}\) & \(-484\) & \(-438\) & \(-386\) & \(-282\) \\  & \(\varepsilon_{3}\) & \(-17\) & \(-43\) & \(-66\) & \(-112\) \\  & \(\varepsilon_{4}\) & \(-128\) & \(-122\) & \(-114\) & \(-105\) \\  & \(\varepsilon_{5}\) & \(365\) & \(283\) & \(206\) & \(62\) \\  & \(\varepsilon_{6}\) & \(-560\) & \(-485\) & \(-404\) & \(-252\) \\  & \(\varepsilon_{1}\) & \(22\) & \(26\) & \(27\) & \(30\) \\  & \(\varepsilon_{2}\) & \(16\) & \(19\) & \(26\) & \(30\) \\
**FBG temperature** & \(\varepsilon_{3}\) & \(25\) & \(27\) & \(31\) & \(32\) \\
**compensation/\(\mu\varepsilon\)** & \(\varepsilon_{4}\) & \(-8\) & \(1\) & \(12\) & \(18\) \\  & \(\varepsilon_{5}\) & \(29\) & \(34\) & \(37\) & \(35\) \\  & \(\varepsilon_{6}\) & \(9\) & \(14\) & \(19\) & \(23\) \\ \hline \hline \end{tabular}
\end{table} 
Table 5: FBG strains and temperature compensation for No.