## 4 Developed Testing Methodology and Test Results
### Test Results
\begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Geometric Form and Place** & \begin{tabular}{c} **Characteristics of** \\ **Monitored Machine** \\ **Component State** \\ \end{tabular} & \begin{tabular}{c} **Deviation of the** \\ **Characteristics [rad]** \\ \end{tabular} & \begin{tabular}{c} **Volume Loss** \\ **[\%]** \\ \end{tabular} & \begin{tabular}{c} **Natural Vibrations** \\ **Frequency [Hz]** \\ \end{tabular} \\ \hline \hline \end{tabular} \begin{tabular}{c} \(\Delta\varphi_{1}=1.17*10^{7}\) \\ \(\Delta\varphi_{2}=-4.177*10^{8}\) \\ \(\Delta\varphi_{3}=1.725*10^{7}\) \\ \(\Delta\varphi_{4}=-1.716*10^{8}\) \\ \end{tabular} & 0.07 & \begin{tabular}{c} \(f_{1}=3.976*10^{3}\) \\ \(f_{2}=4.025*10^{3}\) \\ \(f_{3}=8.936*10^{3}\) \\ \(f_{4}=9.120*10^{3}\) \\ \end{tabular} \\ \hline \hline \end{tabular} \
\begin{tabular}{c} \(\Delta\varphi_{1}=3.074*10^{6}\) \\ \(\Delta\varphi_{2}=-2.255*10^{8}\) \\ \(\Delta\varphi_{3}=8.165*10^{6}\) \\ \(\Delta\varphi_{4}=-9.489*10^{6}\) \\ \(\Delta\varphi_{5}=1.307*10^{6}\) \\ \(\Delta\varphi_{6}=-2.255*10^{8}\) \\ \(\Delta\varphi_{7}=8.165*10^{6}\) \\ \(\Delta\varphi_{8}=8.974*10^{3}\) \\ \(\Delta\varphi_{9}=1.409*10^{3}\) \\ \end{tabular} & 0.06 &
\begin{tabular}{c} \(f_{1}=3.979*10^{3}\) \\ \(f_{2}=4.049*10^{3}\) \\ \(f_{4}=9.161*10^{3}\) \\ \end{tabular} \\ \hline \hline \end{tabular}
\end{table} 
Table 3: Determining the characteristics of the monitored machine component state when introducing damage in the area confined by sensors S2 and S3. Analyzing the test results, it can be noticed that in several cases the form of the state characteristics does not contain deviations consistent with theoretical considerations (Table 4, items 2, 3, 5). It can also be noticed that despite the described condition characteristics (Table 4, item 6), the probable area of damage does not overlap the area where the damage was introduced. However, the following additional criteria can be introduced to identify the damaged area of the monitored machine component:  
* In the case of the state characteristics in accordance with Table 4, item 6 and Table 2, item 5, the sum of the absolute values of deviations between sensor monitoring areas where deviations of opposite signs occur should be additionally verified. The damaged area should be considered the area with the highest value of this sum (regardless of the shape of the deviation); \begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Geometric Form and Place of Damage** & \begin{tabular}{c} **Characteristics of** \\ **Monitored Machine** \\ **Component State** \\ \end{tabular} & \begin{tabular}{c} **Deviation of the** \\ **Characteristics [rad]** \\ \end{tabular} & \
\begin{tabular}{c} **Volume Loss** \\ **[\%]** \\ \end{tabular} &
\begin{tabular}{c} **Natural Vibrations** \\ **Frequency [Hz]** \\ \end{tabular} \\ \hline \hline \end{tabular}
\end{table} 
Table 4: Determining the characteristics of the monitored machine component state when introducing damage in the area confined by sensors S3 and S4. * If the form of the state characteristics does not contain deviations consistent with theoretical considerations (Table 4, items 2, 3, 5), it should be assumed that the damage occurs in the area near the sensor which recorded the largest deviation (in the analyzed cases, it was always the end of the monitored shaft). Based on the analysis of the results, it can be concluded that the described approach allows one to clearly determine the area of damage (in accordance with the adopted theoretical considerations), when these areas are located between the forces acting on the tested machine component. However, the methodology, improved by additional criteria, enables unambiguous identification of the area of damage in all tested compartments. It should be emphasized, however, that the additional criteria were well adapted to testing four areas with a specific distribution of torques. Therefore, additional tests need to be carried out to confirm their correctness.