Gerotor Mechanism Open Area Optimization via Geometric Parameter Ranges
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Solution Overview
Problem
The existing methods for designing cycloidal face profiles in gerotor mechanisms fail to achieve extreme values of the open area, which is necessary for maximizing rotational speed or torque in rotary hydraulic or pneumatic machines, due to the non-regulation of the ratio between the contour diameter and gear eccentricity, limiting the optimization of geometric parameters and machine performance.
Innovation Solution
By assigning the ratio between the contour diameter and gear eccentricity based on a specific range of dimensionless geometric coefficients, ensuring the achievement of maximum or minimum open area while maintaining smoothness and avoiding profile interference, the cycloidal face profiles are optimized for gerotor mechanisms with varying kinematic ratios.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Productivity
If the ratio between contour diameter and gear eccentricity is not regulated, then the design process allows freedom in parameter selection, but the open area cannot achieve extreme values necessary for maximum rotational speed or torque
Solution Approach 1:
The patent applies parameter changes by establishing specific relationships between geometric parameters (Dκ/e ratio within 6-24 range, co between 1.05-1.2, ce between 0-1.75, cΔ between -2.5-0.5) to achieve extreme open area values. This regulated parameter approach enables maximum rotational speed while maintaining design freedom through defined optimization ranges rather than arbitrary constraints
2Power
If the ratio between contour diameter and gear eccentricity is not regulated, then design flexibility is maintained, but the torque cannot be maximized
Solution Approach 1:
The patent maximizes torque by regulating geometric parameters within specific ranges (Dκ/e=6-24, co=1.05-1.2, ce=0-1.75, cΔ=-2.5-0.5). These parameter optimizations enable extreme open area values that directly increase the torque capacity of the gerotor mechanism while maintaining manufacturing feasibility
3Productivity
If dimensionless geometric coefficients are varied, then different forms of conjugate profiles can be obtained to achieve extreme open area values, but the manufacturing complexity increases
Solution Approach 1:
The patent balances manufacturing ease with performance by defining specific ranges for dimensionless geometric coefficients (co=1.05-1.2, ce=0-1.75, cΔ=-2.5-0.5). These regulated parameter ranges enable extreme open area values for maximum productivity while maintaining manufacturability through standardized profile construction methods
Solution Approach 2:
The patent applies dynamics by allowing variation of dimensionless geometric coefficients within defined ranges to achieve different conjugate profile forms. This dynamic parameter adjustment enables optimization of open area for specific applications while maintaining a systematic approach to profile construction that does not excessively complicate manufacturing
Data Source
AI summary
The utility model relates to internal cycloidal gear mechanisms and can be used in various branches of mechanical engineering as working members of hydraulic machines (pumps and engines), compressors, internal combustion engines, as well as in planetary gearboxes, in particular in technical systems for drilling and repairing oil and gas wells. The problems to be solved by the utility model include the improvement of the quality of the process of designing working members having a cycloidal tooth profile, as well as the substantiation of the conditions for modifying cycloidal face profiles (by choosing the required combination of dimensionless gearing coefficients) in order to achieve the maximum or minimum open area of the gerotor mechanism having a different kinematic ratio.