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Rotor profile design in a hypogerotor pump
Soon-Man Kwon/Han Sung Kang/Joong-Ho Shin
The Journal of Mechanical Science and Technology, vol. 23, no. 12, pp.3459-3470, 2009
Abstract : A geometric approach for the outer-rotor profile as a conjugate to the inner-rotor in a hypotrochoidal rotor pump
(hypogerotor pump) is proposed by means of the principle of the instantaneous center and the homogeneous coordinate
transformation. The inner-rotor profile is defined by the combination of two circular arcs. Next, the radius of curvature
of the outer-rotor is derived with the relationships of the trochoid ratio and the inner-rotor tooth size ratio. Then by
examining the minimum radius of curvature of the extended hypotrochoidal outer-rotor profile on the convex section,
an explicit formula to avoid undercutting in the hypogerotor pump is proposed. It is found that undercut or selfintersection
does not occur so long as the minimum value of the radius of curvature on the convex section is not less
than zero. Design examples are presented to simulate the operation and to demonstrate the feasibility of the approaches
using a computer-aided design program developed on C++ language.
Keyword : Hypogerotor pump; Inner-rotor; Outer-rotor; Instantaneous center; Tip clearance; Trochoid ratio; Innerrotor tooth size ratio; Radius of curvature; Undercut |
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