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Mathematical modelling of rotary vane engines

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Mathematical modelling of rotary vane engines. / Tucker, R. W.; Wang, C.; Librovich, B. V.
In: Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, Vol. 217, No. 6, 01.06.2003, p. 687-704.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Tucker, RW, Wang, C & Librovich, BV 2003, 'Mathematical modelling of rotary vane engines', Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, vol. 217, no. 6, pp. 687-704. https://doi.org/10.1243/095440603321919608

APA

Tucker, R. W., Wang, C., & Librovich, B. V. (2003). Mathematical modelling of rotary vane engines. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 217(6), 687-704. https://doi.org/10.1243/095440603321919608

Vancouver

Tucker RW, Wang C, Librovich BV. Mathematical modelling of rotary vane engines. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science. 2003 Jun 1;217(6):687-704. doi: 10.1243/095440603321919608

Author

Tucker, R. W. ; Wang, C. ; Librovich, B. V. / Mathematical modelling of rotary vane engines. In: Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science. 2003 ; Vol. 217, No. 6. pp. 687-704.

Bibtex

@article{cce7a08065c448ddabc4011d5ca6da19,
title = "Mathematical modelling of rotary vane engines",
abstract = "This paper introduces mathematical modelling techniques that are designed to analyse the dynamic behaviour of a class of rotary vane engines. These engines employ non-circular gears for the transmission of primary torque and the modelling explores ways to ensure that torque fluctuations in the flywheel are small. The basic physical principles of rigid-body dynamics are used to formulate a system of non-linear ordinary differential equations describing the rolling motion of two-dimensional rigid laminae. It is argued that such a system offers a valuable first approximation for the study of a realistic engine consisting of two connected combustion units.",
keywords = "rotary vane internal combustion engine, non-circular gears, rigid-body dynamics, pitch curves",
author = "Tucker, {R. W.} and C. Wang and Librovich, {B. V.}",
year = "2003",
month = jun,
day = "1",
doi = "10.1243/095440603321919608",
language = "English",
volume = "217",
pages = "687--704",
journal = "Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science",
issn = "0954-4062",
publisher = "SAGE Publications Ltd",
number = "6",

}

RIS

TY - JOUR

T1 - Mathematical modelling of rotary vane engines

AU - Tucker, R. W.

AU - Wang, C.

AU - Librovich, B. V.

PY - 2003/6/1

Y1 - 2003/6/1

N2 - This paper introduces mathematical modelling techniques that are designed to analyse the dynamic behaviour of a class of rotary vane engines. These engines employ non-circular gears for the transmission of primary torque and the modelling explores ways to ensure that torque fluctuations in the flywheel are small. The basic physical principles of rigid-body dynamics are used to formulate a system of non-linear ordinary differential equations describing the rolling motion of two-dimensional rigid laminae. It is argued that such a system offers a valuable first approximation for the study of a realistic engine consisting of two connected combustion units.

AB - This paper introduces mathematical modelling techniques that are designed to analyse the dynamic behaviour of a class of rotary vane engines. These engines employ non-circular gears for the transmission of primary torque and the modelling explores ways to ensure that torque fluctuations in the flywheel are small. The basic physical principles of rigid-body dynamics are used to formulate a system of non-linear ordinary differential equations describing the rolling motion of two-dimensional rigid laminae. It is argued that such a system offers a valuable first approximation for the study of a realistic engine consisting of two connected combustion units.

KW - rotary vane internal combustion engine

KW - non-circular gears

KW - rigid-body dynamics

KW - pitch curves

U2 - 10.1243/095440603321919608

DO - 10.1243/095440603321919608

M3 - Journal article

VL - 217

SP - 687

EP - 704

JO - Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science

JF - Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science

SN - 0954-4062

IS - 6

ER -