摘要 |
The present invention provides a method for designing lobe-type rotors which enables a defined rotor and a conjugate rotor having three or more than three lobes intermeshing and conjugating to each other and by setting suitable parameters to generate curve portions of a single lobe of the defined rotor as a pattern including a curve E, an arc A, an arc B, an arc F, and a straight line Y; the main feature of the present invention is that a radius rB of the arc B is defined by following equation: <maths id="MATH-US-00001" num="00001"> <math overflow="scroll"> <mrow> <mrow> <msub> <mi>r</mi> <mi>B</mi> </msub> <mo>+</mo> <mrow> <mrow> <mo>(</mo> <mrow> <mi>R</mi> <mo>-</mo> <msub> <mi>r</mi> <mi>B</mi> </msub> </mrow> <mo>)</mo> </mrow> <mo></mo> <mi>sin</mi> <mo></mo> <mstyle> <mspace width="0.3em" height="0.3ex"/> </mstyle> <mo></mo> <mi>alpha</mi> </mrow> </mrow> <mo>=</mo> <mfrac> <mi>D</mi> <mn>2</mn> </mfrac> </mrow> </math> </maths> <maths id="MATH-US-00001-2" num="00001.2"> <math overflow="scroll"> <mrow> <msub> <mi>r</mi> <mi>B</mi> </msub> <mo>=</mo> <mfrac> <mrow> <mrow> <mi>D</mi> <mo>/</mo> <mn>2</mn> </mrow> <mo>-</mo> <mrow> <mi>R</mi> <mo></mo> <mstyle> <mspace width="0.3em" height="0.3ex"/> </mstyle> <mo></mo> <mi>sin</mi> <mo></mo> <mstyle> <mspace width="0.3em" height="0.3ex"/> </mstyle> <mo></mo> <mi>alpha</mi> </mrow> </mrow> <mrow> <mn>1</mn> <mo>-</mo> <mrow> <mi>sin</mi> <mo></mo> <mstyle> <mspace width="0.3em" height="0.3ex"/> </mstyle> <mo></mo> <mi>alpha</mi> </mrow> </mrow> </mfrac> </mrow> </math> </maths> moreover, the straight line Y is the external common tangent line of the arc B and the arc F, and respectively getting two tangent points therefrom to be defined as two end points of the straight line Y.
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