Development of a mathematical model for vane-type air motors with arbitrary N vanes

X. Luo, J. Wang, Leon M. Shpanin, N. Jia, G. Liu, A. S. I. Zinober

Research output: Contribution to conferencePaper

3 Citations (Scopus)

Abstract

The paper presents a mathematical model for vane-type air motors with arbitrary number of vanes. The paper starts from the working principles of the air motor and modeling approach. Then the mechanical geometry structure of air motors is analyzed in order to derive a generic mathematical description of the air motor. A complete dynamic process of the air motor system is derived based on the mechanical structure, orifice and other physics theory. The simulation results are presented with a typical set of air motor parameters. Due to the nature of the motor structure, the chamber volume changes are discontinuous which leads to discontinuous chamber pressure variations. The characteristics of the discontinuity present difficulties for applying advanced control theory to air motor control. Therefore, further approximations are carried out and the comparison of dynamic responses between the original model and the approximated model indicated that the approximation is accurate enough to be acceptable for control strategy development.
Original languageEnglish
Pages362-367
Publication statusPublished - 2008
EventInternational Conference of Applied and Engineering Mathematics, World Congress on Engineering - London, United Kingdom
Duration: 2 Jul 20084 Jul 2008

Conference

ConferenceInternational Conference of Applied and Engineering Mathematics, World Congress on Engineering
CountryUnited Kingdom
CityLondon
Period2/07/084/07/08

Fingerprint

Mathematical models
Air
Orifices
Control theory
Dynamic response
Physics
Geometry

Bibliographical note

The full text is not available on the repository.

Cite this

Luo, X., Wang, J., Shpanin, L. M., Jia, N., Liu, G., & Zinober, A. S. I. (2008). Development of a mathematical model for vane-type air motors with arbitrary N vanes. 362-367. Paper presented at International Conference of Applied and Engineering Mathematics, World Congress on Engineering, London, United Kingdom.

Development of a mathematical model for vane-type air motors with arbitrary N vanes. / Luo, X.; Wang, J.; Shpanin, Leon M.; Jia, N.; Liu, G.; Zinober, A. S. I.

2008. 362-367 Paper presented at International Conference of Applied and Engineering Mathematics, World Congress on Engineering, London, United Kingdom.

Research output: Contribution to conferencePaper

Luo, X, Wang, J, Shpanin, LM, Jia, N, Liu, G & Zinober, ASI 2008, 'Development of a mathematical model for vane-type air motors with arbitrary N vanes' Paper presented at International Conference of Applied and Engineering Mathematics, World Congress on Engineering, London, United Kingdom, 2/07/08 - 4/07/08, pp. 362-367.
Luo X, Wang J, Shpanin LM, Jia N, Liu G, Zinober ASI. Development of a mathematical model for vane-type air motors with arbitrary N vanes. 2008. Paper presented at International Conference of Applied and Engineering Mathematics, World Congress on Engineering, London, United Kingdom.
Luo, X. ; Wang, J. ; Shpanin, Leon M. ; Jia, N. ; Liu, G. ; Zinober, A. S. I. / Development of a mathematical model for vane-type air motors with arbitrary N vanes. Paper presented at International Conference of Applied and Engineering Mathematics, World Congress on Engineering, London, United Kingdom.
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AU - Liu, G.

AU - Zinober, A. S. I.

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