A general mathematical model for continuous generating machining of screw rotors with worm-shaped tools

Yu Ren Wu; Wei Hsuan Hsu

doi:10.1016/j.apm.2013.05.056

A general mathematical model for continuous generating machining of screw rotors with worm-shaped tools

Yu Ren Wu, Wei Hsuan Hsu

Department of Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

31 Scopus citations

Abstract

Screw rotors play a crucial role in the performance of compressors. For the large-batch production of small- or medium-sized rotors, continuously rotor hobbing or grinding may be more efficient than form machining. In this study, a general mathematical model was developed for the generating machining of screw rotors with a worm-shaped tool. A two-parameter enveloping theory was applied to simulate the cutting process as the tool conducts polynomial feed motion considering its cutting edge. The normal errors of the generated cutting lines were computed and presented on the rotor tooth surface topologies to show the correctness and practicability of the proposed model.

Original language	English
Pages (from-to)	28-37
Number of pages	10
Journal	Applied Mathematical Modelling
Volume	38
Issue number	1
DOIs	https://doi.org/10.1016/j.apm.2013.05.056
State	Published - 1 Jan 2014

Keywords

Generating machining
Rotor hobbing
Screw rotor
Worm-shaped tool

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10.1016/j.apm.2013.05.056

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title = "A general mathematical model for continuous generating machining of screw rotors with worm-shaped tools",

abstract = "Screw rotors play a crucial role in the performance of compressors. For the large-batch production of small- or medium-sized rotors, continuously rotor hobbing or grinding may be more efficient than form machining. In this study, a general mathematical model was developed for the generating machining of screw rotors with a worm-shaped tool. A two-parameter enveloping theory was applied to simulate the cutting process as the tool conducts polynomial feed motion considering its cutting edge. The normal errors of the generated cutting lines were computed and presented on the rotor tooth surface topologies to show the correctness and practicability of the proposed model.",

keywords = "Generating machining, Rotor hobbing, Screw rotor, Worm-shaped tool",

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N2 - Screw rotors play a crucial role in the performance of compressors. For the large-batch production of small- or medium-sized rotors, continuously rotor hobbing or grinding may be more efficient than form machining. In this study, a general mathematical model was developed for the generating machining of screw rotors with a worm-shaped tool. A two-parameter enveloping theory was applied to simulate the cutting process as the tool conducts polynomial feed motion considering its cutting edge. The normal errors of the generated cutting lines were computed and presented on the rotor tooth surface topologies to show the correctness and practicability of the proposed model.

AB - Screw rotors play a crucial role in the performance of compressors. For the large-batch production of small- or medium-sized rotors, continuously rotor hobbing or grinding may be more efficient than form machining. In this study, a general mathematical model was developed for the generating machining of screw rotors with a worm-shaped tool. A two-parameter enveloping theory was applied to simulate the cutting process as the tool conducts polynomial feed motion considering its cutting edge. The normal errors of the generated cutting lines were computed and presented on the rotor tooth surface topologies to show the correctness and practicability of the proposed model.

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KW - Worm-shaped tool

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A general mathematical model for continuous generating machining of screw rotors with worm-shaped tools

Abstract

Keywords

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