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Abstract: Number
of lobe of rotor in rotating pump may be two or three. For cycloid
rotor, the ratio k(k＝d2/R)of
the distance d2 (from rotating center of the rotor to
the center of the circular addendum) to the radius R of pitch
circle is a very important parameter. The larger the ratio is, the
thinner the rotor will be, the larger the volume coefficient of the
cavum will be, and the larger the flux will be. However, if this ratio
exceeds an extremum, then the profile of the rotor will intersect
itself. There will be large backlash between rotors after cutting. Thus
the flux and pressure will decline sharply. A simple formula to
calculate radius of curvature of the cycloid valley of the rotor and an
explicit expression to calculate extremum of the ratio k(k＝d2/R)
are derived. Exact values of the extremum of the ratio are calculated.
This work sets a theoretical base for the design of the rotor in this
kind of rotating pump.
Key words: Cycloid
rotor Profile
Curvature Extremum
CLC No: TH326
福建省自然科学基金资助项目(E0010013).
Received 20030928, received in revised form 20040215
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