# Analysis of Dimensional Tolerances on Hydraulic and Acoustic Properties of a New Type of Prototypal
## 3 Measuring Rig
### Application of Neural Network in Extracting Measurement Points
To get a perfect match, the data should lie along a line with a 45-degree positive-angle slope, i.e., where the network outputs are equal to the targets (patterns). In our analysis, the qualitative approximation agrees very reasonably with the fitted data for all sets, with values of R in each case being 0.93 or higher. The neural network classified the following parameters as the most important:  
Parameters = (19, 20, 21, 22, 30, 31, 38, 39, 40, 41, 42, 44, 45, 46, 48, 57, 58, 59, 60, 61, 62, 65, 73, 74, 101, 102, 104, 111, 112, 113, 140, 141, 142, and 143)  
which correspond to the measured points: KR19, KR20, KR21, KR22, Pkr1, Pkr2, Kzp7. Kzp8, Kzp9, Kzp10, Kzp11, Kzp11, Kzp13, Kzp14, Kzp15, Kzp17, Kzpn9, Kzpn10, Kzpn11, Kzpn14, Kzpn17, Kka8, Kla9, Kla37, Kla36, Kla37, Kla39, Kla39, Kla36, Kla37, Kla38, and Kla39. Figure 11: The output with respect to the test data. Figure 10: The network output with respect to the learning goal. Figure 12 presents the dimensions and critical deviations: (1) the beating of plugs and the lateral surface of the toothed rim and (2) the perpendicularity of the side surface of the tooth to the pivots (wheel rotation axis) for the details of the gears speeding. The identification of the impact of the manufacturing technology for the model units showed that the important dimensions affecting the efficiency of the pumps are generally repeated in all details, regardless of the analyzed group. Table 9 shows the results of the hydraulic measurements for the original pump and Table 10 for the improved unit. Figure 12: The dimensions and critical deviations: (**a**) the beating of plugs and the lateral surface of the toothed rim—perpendicularity of the side surface of the tooth to the pivots (wheel rotation axis) for the detail of the gears speeding and running, (**b**) the perpendicularity of the sump to the pump head for detail: pump corpus, and (**c**) fastening the plain bearing body to the CNC (Computerized Numerical Control) machine table. \begin{table}
\begin{tabular}{c c c c c c c c c} \hline \hline
**n** & **Pt** & **Qzz** & **M** & **Nh** & **Nm** & **nv** & **nhm** & **nc** \\ (**rpm**) & **(MPa)** & **(/min)** & **(Nm)** & **(kW)** & **(kW)** & **(\%)** & **(\%)** & **(\%)** & **(\%)** \\ \hline \multirow{9}{*}{500} & 0 & 15.6 & 0.5 & 0.00 & 0.03 & 100.0 & 0.0 & 0.0 \\  & 5 & 14.6 & 28.0 & 1.21 & 1.47 & 93.6 & 88.1 & 82.5 \\  & 10 & 14.1 & 56.0 & 2.34 & 2.93 & 90.4 & 88.4 & 79.9 \\  & 15 & 14.1 & 83.0 & 3.52 & 4.35 & 90.4 & 89.6 & 80.9 \\  & 20 & 14.4 & 110.0 & 4.79 & 5.76 & 92.3 & 90.1 & 83.2 \\  & 24 & 14.7 & 140.0 & 6.12 & 7.33 & 94.2 & 88.6 & 83.5 \\  & 30 & 14.4 & 170.0 & 7.19 & 8.90 & 92.3 & 87.5 & 80.8 \\ \hline \multirow{9}{*}{1000} & 0 & 32.3 & 1.0 & 0.00 & 0.10 & 99.1 & 0.0 & 0.0 \\  & 5 & 32.0 & 32.0 & 2.65 & 3.35 & 98.2 & 80.6 & 79.1 \\  & 10 & 31.8 & 60.0 & 5.28 & 6.28 & 97.5 & 86.2 & 84.1 \\ \cline{1-1}  & 15 & 32.0 & 85.0 & 7.98 & 8.90 & 98.2 & 91.4 & 89.7 \\ \cline{1-1}  & 20 & 32.6 & 116.0 & 10.85 & 12.15 & 99.9 & 89.3 & 89.3 \\ \cline{1-1}  & 24 & 32.6 & 141.0 & 13.57 & 14.77 & 99.9 & 91.9 & 91.9 \\ \cline{1-1}  & 30 & 32.5 & 171.0 & 16.23 & 17.91 & 99.7 & 90.0 & 90.7 \\ \hline \hline \end{tabular}
\end{table} 
Table 10: Results of the hydraulic measurements for improved pump [15].