### Abstract

From a geometric viewpoint, a mathematical model of a single screw compressor with a conjugate pair of meshing conical teeth gate rotor is a conjugate problem. Coordinate transformation and envelope theory are applied to determine the sets of spatial points of the contacting surfaces that define the main rotor of a single screw compressor. Envelope theory and analytical procedure are used to derive mathematical models of a gate rotor and a main rotor. Stress analysis for the single screw compressor mechanism is performed. PowerMILL software package is used to simulate the manufacture of a main rotor. A numerical example with a compressor ratio of 11:6 is presented to demonstrate the application of the mathematical models developed in mis paper.

Original language | English |
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Pages (from-to) | 333-352 |

Number of pages | 20 |

Journal | Transactions of the Canadian Society for Mechanical Engineering |

Volume | 32 |

Issue number | 3-4 |

Publication status | Published - 2008 Dec 1 |

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### All Science Journal Classification (ASJC) codes

- Mechanical Engineering

### Cite this

*Transactions of the Canadian Society for Mechanical Engineering*,

*32*(3-4), 333-352.