Vane Pump Cam Ring Cycloid Profile Design
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Solution Overview
Problem
Vane pumps experience wear and reduced theoretical discharge due to incorrect design of the cam ring's inner profile, leading to inefficiencies in fluid handling.
Innovation Solution
A vane pump design featuring a cam ring with a ring-shaped inner profile that includes a cycloid curve, a circular arc, and an inclined tangent line, determined by specific mathematical equations, to vary the radius and optimize fluid discharge.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Volume of moving object
If the inner profile shape of the cam ring is not correctly designed, then the vane pump chamber volume is insufficient, but this leads to wear and reduced theoretical discharge amount
Solution Approach 1:
The invention changes the geometric parameters of the cam ring inner profile by introducing a cycloid curve instead of conventional circular or elliptical shapes. The cycloid curve is defined by specific mathematical equations with parameters R (radius of generating circle) and θ (angular parameter), allowing precise control over the profile geometry to optimize both chamber volume and wear characteristics
Solution Approach 2:
The invention applies curved geometry principles by using a cycloid curve (a type of mathematical curve) to define the cam ring inner profile. This curved profile creates optimal clearance variations between the rotor and cam ring during rotation, maximizing chamber volume while maintaining proper sealing to prevent wear
2Productivity
If the cam ring inner profile is designed with larger volume, then the theoretical discharge amount increases, but the complexity of determining the profile shape increases
Solution Approach 1:
The invention provides explicit mathematical equations (x=R(θ-sinθ)-πR, y=R(1-cosθ)+KR) that define the cycloid curve profile parameters. These equations allow engineers to calculate the optimal profile shape using standard mathematical tools, transforming a complex design problem into a parameter optimization task that can be solved systematically
Solution Approach 2:
The invention replaces complex mechanical trial-and-error design methods with mathematical modeling. By substituting the mechanical design process with analytical equations, the profile can be determined through calculation rather than iterative prototyping, reducing design complexity while maximizing discharge volume
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
The optimized cam ring profile reduces wear and increases the vane pump's volume, enhancing the theoretical discharge amount and overall efficiency.
Implementation Method 1
the ring shaped inner profile includes: a cycloid curve passing through a maximum radius point; a circular arc passing through a minimum radius point
Data Source
AI summary
Disclosed is a vane pump comprising a cam ring accommodated in a pump housing, a rotor accommodated rotatably with respect to a rotational shaft in the cam ring, and a plurality of vanes coupled to the rotor to discharge fluid, wherein the cam ring has a ring shaped inner profile varied between a maximum radius (Rmax) and a minimum radius (Rmin) in a circumferential direction with respect to the rotational shaft, and the ring shaped inner profile comprises: a cycloid curve passing through a maximum radius point; a circular arc passing through a minimum radius point; and a tangent line connecting the cycloid curve to the circular arc with a tangential curvature.