Abstract
The contrastive analysis and the linear optimization on the transverse plane linear of triple thread single-screw pump are used for outer equidistant curves of curtate hypocycloid and inner equidistant curves of curtate epicycloids. MATLAB programming language is used to solve the equations and plot linear, and express the analysis results intuitively. When the numeric area of variable amplitude coefficient is determined, it can get the relationship of overflow area with the variable amplitude coefficient k = e / r. So the analysis offers a reference for further study in triple thread single-screw pump.
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