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Technical Briefs

A Numerical Contour Method for Simulating Spiral Groove Bottom Profiles

[+] Author and Article Information
Weifeng Wu

School of Energy and Power Engineering, Xi’an Jiaotong University, Xi’an 710049, Chinaweifengwu@mail.xjtu.edu.cn

Shuo Sun

School of Energy and Power Engineering, Xi’an Jiaotong University, Xi’an 710049, Chinasoonsure@gmail.com

Quanke Feng

School of Energy and Power Engineering, Xi’an Jiaotong University, Xi’an 710049, Chinaqkfeng@xjtu.edu.cn

J. Mech. Des 134(2), 024501 (Feb 03, 2012) (5 pages) doi:10.1115/1.4005598 History: Received June 13, 2011; Revised November 03, 2011; Published February 03, 2012

The envelope method can be used to model the spiral groove surface profile in single screw compressors produced by cylindrical milling using the contact lines of the cutter surface and the groove. However, the envelope method cannot predict the groove bottom profile accurately because it does not account for the boundary contact lines on the end face of the cutter. A new numerical contour method is proposed to model the groove bottom profile by identifying the contact points on the end face of the cutter to a set position on the spiral groove. Results show that the new method can calculate accurately both the boundary and the inner contact line and thus simulate the groove bottom profile exactly. This method could also be used to simulate other profiles of machines, such as rotor profiles of twin screw compressors and screw pumps.

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Copyright © 2012 by American Society of Mechanical Engineers
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Figures

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Figure 1

Structure of a single screw compressor

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Figure 2

Machining process of the spiral groove

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Figure 3

The contour of the groove bottom at a set position

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Figure 4

Position of the cutter in coordinate system S2

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Figure 5

The block program of the new contour method

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Figure 6

Contact lines on the cutter end and the groove bottom when φsw  = 0. Contact lines obtained by (a) new contour method and (b) envelope method.

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Figure 7

Profile of the groove bottom and the cutter end at level section

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