## 4 Results of Mathematical Modeling and Experimental Testing  
Comparison of the results of mathematical modeling and experimental testing of radial piston pumps includes several key aspects. The predicted efficiency from the model was compared with experimental data. The accuracy of the predicted output pressures and flow rate was analyzed. It was established how the variations of these parameters affect the predictions of the model in relation to the experimental results. Performance under different load scenarios and their impact on modeling and experimental results were evaluated. The geometrical parameters of the piston, clearances and tolerances, changes in the design as well as their influence on the performance of the radial piston pump were analyzed. An evaluation of the dynamic behavior was performed to see how well the models predicted the dynamic behavior with the experimental behavior. Vibrations and noise were analyzed and compared with those observed in the experiments. Using the experimental results, the assumptions and equations used in the mathematical models were confirmed. The efficiency of hydraulic systems in mobile machines can be significantly affected by the operating parameters of radial piston pumps. Higher pressure can lead to increased efficiency, but also increases the risk of cavitation and pump wear. Balancing the pressure setting is critical for optimal performance. Minimized pressure losses in hoses and fittings can improve overall system efficiency. Keeping the pump flow within its design specifications ensures efficient operation. Flow rates that are too low or too high can reduce efficiency. Using variable displacement pumps enables better adaptation to different load conditions, improving efficiency. At the pump operating mode \(n=875.6\) min\({}^{-1}\) and \(p_{n}=200\) bar, the results of the measured pressures and the pressures obtained by mathematical modeling as a function of the rotation angle of the pump drive shaft are given in comparison Figure 6. Figure 6 shows the flow of pressure: a) in a cylinder (pc) and a pressure chamber (pv) for one cycle of the experiment; (b) in a pressure chamber (pv), to simulate one cycle; (c) pressure in the cylinder (pc) in the interval 120-270, for one cycle of the experiment; (d) in the cylinder (pc) in the interval 120-270, for one simulation cycle; (e) in the cylinder (pc) and the valve chamber (pv) in the interval 278-307, for one cycle of the experiment; (f) in cylinder (pc) and valve chamber (pv) in the interval 278-307, for one simulation cycle. Figure 6: _Cont_. The number of pistons can significantly affect the performance of radial piston pumps, including pressure variations. Increasing the number of pistons generally results in higher compression capability. More pistons can distribute the load more evenly, allowing more pressure to be generated without excessive wear. With more pistons, pressure pulses can become smoother, reducing the fluctuation between pressure peaks and valleys. This can lead to more stable operation at high pressures. More pistons means more theoretical flow at a given speed, since each piston contributes to the total displacement. With fewer pistons, the pump can be more efficient at low pressures, because there is less internal friction and fewer moving parts. More pistons can increase complexity, size, and weight. Design considerations must balance these factors with performance requirements. Radial piston pumps can experience vibrations that are affected by several factors, including the number of pistons. More pistons generally result in better balance and symmetry in pump operation. This can reduce pulsations and vibrations as the forces are more evenly distributed. More pistons can lead to smoother operation by reducing the amplitude of pressure fluctuations, as more pistons can create a more continuous flow.