The analysis of the effect of clearance circulation on the critical speed of the piston hydraulic pump rotor system involves the study of the effect of the fluid flow in the gap between the rotor and stator components on the critical speed of the system. Here are some key points to consider in this analysis: 1. Fluid flow in gaps: Hydraulic pumps consist of rotating and stationary parts, such as rotors and stators, with small gaps between them. During operation, fluid flows through these gaps due to the pressure differential across the pump. The flow behavior in these gaps can significantly affect the critical speed of the rotor system. 2. Gap circulation effect: Fluid circulation in the gap will cause additional force on the rotor system. These forces include hydrodynamic, rotational and damping forces. The presence of fluid flow changes the dynamic characteristics of the rotor system, possibly affecting its critical speed. 3. Gap circulation pattern: The specific circulation pattern within the gap depends on factors such as gap geometry, flow rate, and fluid properties. Analyzing fluid flow patterns using computational fluid dynamics (CFD) simulations or experimental techniques helps to understand how flow affects critical velocity. 4. Pressure distribution: The pressure distribution in the gap plays a vital role in the gap circulation effect. Changes in pressure cause changes in fluid flow behavior, which affect the dynamic response of the rotor system. Analyzing the pressure distribution provides insight into the forces acting on the rotor and their effect on the critical speed. 5. Gyro and vibration analysis: Gyro and vibration analysis is performed to determine the critical speed of the rotor system. These analyzes take into account the effects of forces, including those induced by gap cycles, on the dynamic behavior of the rotor. By incorporating the effects of interstitial cyclic forces, a more accurate critical speed estimate can be obtained. 90-R-100-KP-1-CD-80-R-3-C7-F-03-GBA-35-35-24 90R100KP1CD80R3C7F03GBA353524 90-R-100-KP-1-CD-80-P-4-S1-E-03-GBA-35-35-24 90R100KP1CD80P4S1E03GBA353524 90-R-100-KP-1-CD-80-P-4-F1-F-03-GBA-35-35-24 90R100KP1CD80P4F1F03GBA353524 90-R-100-KP-1-CD-80-P-4-F1-E-00-GBA-32-32-24 90R100KP1CD80P4F1E00GBA323224 90-R-100-KP-1-CD-80-P-4-C7-F-03-GBA-20-20-24 90R100KP1CD80P4C7F03GBA202024 90-R-100-KP-1-CD-80-P-4-C7-E-03-GBA-32-32-24 90R100KP1CD80P4C7E03GBA323224 90-R-100-KP-1-CD-80-P-3-T2-F-09-GBA-35-35-24 90R100KP1CD80P3T2F09GBA353524 90-R-100-KP-1-CD-80-P-3-S1-F-03-GBA-35-35-24 90R100KP1CD80P3S1F03GBA353524 90R100-KP-1-CD-80-P-3-S1-F-03-GBA-35-35-24 90R100KP1CD80P3S1F03GBA353524 90-R-100-KP-1-CD-80-P-3-S1-F-03-EBC-35-35-24 90R100KP1CD80P3S1F03EBC353524 6. Gap design and optimization: The gap design between rotor and stator components can be optimized to minimize the impact of gap circulation on the critical speed. This may involve adjusting gap geometry, implementing flow control functions, or optimizing fluid properties to reduce the impact of fluid flow on rotor system dynamics. Experimental testing is essential to validate the analysis and quantify the effect of gap cycling on critical speed 7. Experimental Validation: Experimental testing is essential to validate the analysis and quantify the effect of gap circulation on the critical velocity. To verify and evaluate the actual effect of gap circulation, experimental techniques such as modal analysis and frequency response testing can be used. 8. Dynamic Modeling: The development of a comprehensive dynamic model of the rotor system is essential to analyze the effect of gap circulation on the critical speed. The model should incorporate fluid flow dynamics within the gap, taking into account factors such as fluid viscosity, gap geometry, and flow velocity. This allows more accurate prediction of the dynamic response of the system. 9. Parameter Sensitivity Analysis: Performing a sensitivity analysis can help identify key parameters that significantly affect the critical velocity of interstitial cycles. The analysis involves varying the values of different parameters, such as gap size, fluid properties, and flow velocity, to assess their effect on the critical velocity. It provides insight into the relative importance of various factors and helps optimize pump design. 10. Damping analysis: clearance circulation will affect the damping characteristics of the rotor system. Analysis of the damping forces associated with fluid flow in the gap is important to assess their effect on the critical velocity. Changes in the damping force due to gap cycling can alter the stability of the system, possibly resulting in critical speed changes. 11. Optimization strategy: Analysis can guide the optimization of pump design to minimize the impact of interstitial circulation on critical speed. This may involve modifying the clearance geometry, introducing flow control features, or selecting appropriate fluid properties to mitigate the effects of fluid flow on rotor system dynamics. Optimization techniques, such as numerical optimization algorithms, can help find optimal design parameters. 12. Comparative Analysis: Comparing the critical speed behavior of different pump designs or configurations can provide insight into the specific effects of interstitial circulation. By analyzing multiple designs with different gap geometries or fluid flow patterns, trends and correlations between gap cycling and critical velocity changes can be determined. 90-R-100-KP-1-CD-80-P-3-S1-F-00-GBA-29-29-24 90R100KP1CD80P3S1F00GBA292924 90-R-100-KP-1-CD-80-P-3-S1-E-03-GBA-32-32-24 90R100KP1CD80P3S1E03GBA323224 90-R-100-KP-1-CD-80-P-3-S1-E-00-GBA-35-35-24 90R100KP1CD80P3S1E00GBA353524 90-R-100-KP-1-CD-80-P-3-F1-F-03-GBA-26-26-24 90R100KP1CD80P3F1F03GBA262624 90-R-100-KP-1-CD-80-P-3-F1-F-00-GBA-35-29-30 90R100KP1CD80P3F1F00GBA352930 90-R-100-KP-1-CD-80-P-3-F1-E-03-GBA-45-45-28 90R100KP1CD80P3F1E03GBA454528 90-R-100-KP-1-CD-80-P-3-F1-E-03-GBA-42-42-24 90R100KP1CD80P3F1E03GBA424224 90-R-100-KP-1-CD-80-P-3-F1-E-03-GBA-35-35-24 90R100KP1CD80P3F1E03GBA353524 90-R-100-KP-1-CD-80-P-3-F1-E-00-GBA-42-42-24 90R100KP1CD80P3F1E00GBA424224 90-R-100-KP-1-CD-80-P-3-F1-E-00-GBA-35-35-24 90R100KP1CD80P3F1E00GBA353524 13. Experimental validation and testing: Experimental validation is essential to validate the analysis and evaluate the effect of gap circulation on critical speed. Experimental testing may involve measuring the critical speed of the rotor system under different flow conditions, varying clearance parameters, or introducing flow control mechanisms. These tests help validate analytical predictions and provide practical insights into the effects of interstitial circulation. 14. Operation Considerations: It is important to consider the effect of interstitial circulation on the critical speed during pump operation. Operating conditions, such as changes in flow rate or changes in fluid properties, can affect the degree and critical speed of interstitial circulation. Knowing the operating range over which the critical speed remains stable is critical to reliable and safe pump operation. By considering these points and performing a thorough analysis, the effect of clearance circulation on the critical speed of a piston hydraulic pump rotor system can be understood and mitigated. This analysis helps optimize pump design, ensures reliable performance and reduces the risk of critical speed-related issues.