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Mathematical modelling of rotary vane engines

Research output: Contribution to journalJournal article


<mark>Journal publication date</mark>1/06/2003
<mark>Journal</mark>Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
Issue number6
Number of pages18
Pages (from-to)687-704
<mark>Original language</mark>English


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.