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The geometry of machining for computer-aided manufacture

Published online by Cambridge University Press:  09 March 2009

T. W. Stacey  and
A. E. Middleditch
T. W. Stacey
Affiliation:
Computer Aided Engineering Group, School of Engineering and Science, Polytechnic of Central London, 115, New Cavendish Street, London, W1M 8JS (U.K.)
A. E. Middleditch
Affiliation:
Computer Aided Engineering Group, School of Engineering and Science, Polytechnic of Central London, 115, New Cavendish Street, London, W1M 8JS (U.K.)
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Summary

A geometrical methodology for automatic machine tool command generation is introduced. The geometric entities relevant to machine tool operation are unambiguously defined by volume models. A vector sum operator is used to determine regions of the configuration space of the machine tool which correspond to undesired collisions, cavity access and material removal. Some indication of how cutter paths are generated is given and a practical implementation for the case of machining two and a half dimensional components under two and a half axis control is discussed in more detail.

Type
Article
Information
Robotica , Volume 4 , Issue 2 , April 1986 , pp. 83 - 91
Copyright
Copyright © Cambridge University Press 1986

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References

1.Hoffman, G.J., ‘Machinability Data for Optimized NC Production’ N/C Machinability Data Systems (SME, 1971).Google Scholar
2.APT IV: Encyclopaedia, (IIT Research Institute, Chicago).Google Scholar
3.Requicha, A.A.G., Voelcker, H.B., ‘Solid Modelling: Current Status and Research Directions’ IEEE Comp. Graphics and Application 25–37 (10 1983).CrossRefGoogle Scholar
4.Requicha, A.A.G., ‘Representations for Rigid Solids’ Computing Surveys 12, No. 4, 437–464 (12 1980).CrossRefGoogle Scholar
5.Middleditch, A.E., Stacey, T.W., ‘The Vector Sum in Set Theoretic Geometric Modelling’ CAE Technical Memo ITM84: 1, PCL (1984).Google Scholar
6.Voelcker, H.B., Hunt, A.W., “The Role of Solid Modelling in Machining-process Modelling and NC Verification’ Proc. 1981 SAE Int. Congress and Exposition 1–8, Detroit (1981).Google Scholar
7.Tilove, R.B., ‘A Null Object Algorithm for CSG’ Comm. of ACM, Vol. 27, No. 7. 684 (07 1984).CrossRefGoogle Scholar
8.Grayer, A.R., ‘Machining with Volumes’ Ph.D. Thesis Cambridge University (1976).Google Scholar
9.Armstrong, G.T., ‘A Study of Automatic Generation of Non-invasive NC Machine Paths from Geometric Models PhD Thesis, Leeds University (1982).Google Scholar
10.Lozano-Perez, T., Wesley, M.A., ‘An Algorithm for Planning Collision-free Paths among Polyhedral Obstacles’ Comm. of ACM, Vol. 22, No. 10, 560–570 (10 1979).CrossRefGoogle Scholar
11.Cameron, S.A., “Modelling Solids in Motion’ PhD Thesis, Edinburgh University (1984).Google Scholar
12.Middleditch, A.E., Morris, A.C., “The Representation and Manipulation of Convex Polygons’ CAE Technical Memo ITM84: 1, PCL (1984).Google Scholar
13. ‘Numerical Control of Machines — Axis and Motion Nomenclature’ ISO 841, International Organisation for Standardisation.Google Scholar
14.Persson, H., ‘N.C. Machining of Arbitrarily Shaped Pockets’ CAD Vol. 10, No. 3, 169–174 (1978).Google Scholar
15.Middleditch, A.E., Tor, S.B. ‘Convex Decomposition of Simple Polygons’ (to be published in ACM Transactions on Graphics).Google Scholar