### 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.

}

*Transactions of the Canadian Society for Mechanical Engineering*, vol. 32, no. 3-4, pp. 333-352.

**Study of a single screw compressor with a conical teeth gate rotor.** / Yang, Shyue Cheng; Liang, Tsang Lang.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Study of a single screw compressor with a conical teeth gate rotor

AU - Yang, Shyue Cheng

AU - Liang, Tsang Lang

PY - 2008/12/1

Y1 - 2008/12/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=63849211803&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=63849211803&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:63849211803

VL - 32

SP - 333

EP - 352

JO - Transactions of the Canadian Society for Mechanical Engineering

JF - Transactions of the Canadian Society for Mechanical Engineering

SN - 0315-8977

IS - 3-4

ER -