Abstract
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.
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References
1.
Litvin
F. L.
Gear Geometry and Applied Theory , 1994 (Prentice-Hall , Englewood Cliffs, New Jersey ).
2.
Librovich
B.
Tucker
R. W.
Wang
C.
On gear modelling in multistage rotary vane engines . Meccanica (to appear).
3.
Hill
R.
Principles of Dynamics , 1885 (Pergamon Press , Oxford ).
4.
Tong
S.-H.
Yang
D. C. H.
Generation of identical non-circular pitch curves . J. Mech. Des. , 1998 , 120 , 337 –341 .
5.
Chang
S.-L.
Tsay
C.-B.
Computerized tooth profile generation and undercut analysis of non-circular gears manufactured with shaper cutters . Trans. ASME , 1998 , 120 , 92 –99 .
6.
Setright
L. J. K.
Some Unusual Engines , 1975 (Mechanical Engineering Publications , London ).
7.
Wankel
F.
Ansdale
R. F.
Rotary Piston Machines: Classification of Design Principles for Engines, Pumps and Compressors , 1965 (Iliffe Books , London ).
8.
Kovarsky
N.
Kaftori
D.
Gamzon
E.
Dgani
E.
External combustion Wankel engine for solar applications . J. Physique , 1999 , IV (9 ), 475 –480 .
9.
Shih
A. J.
Kinematics of the cycloidal internal combustion engine mechanism . J. Mech. Des. , 1993 , 115 , 953 –959 .
10.
Ashley
S.
A new spin on the rotary engine . Mech. Engng , 1995 , 80 –82 .
11.
Norbye
J. P.
Rivals to the Wankel: A roundup of rotary engines . Popular Sci. , 1967 , 80 –85 .
12.
Nadolski
W.
Influence of nonlinear stiffness of teeth on dynamic loads in gear transmission . Meccanica , 1996 , 31 , 665 –672 .
13.
Nadolski
W.
Pielorz
A.
Theoretical investigations of nonlinear loads on gear teeth in single gear transmission . Int. J. Mech. Sci. , 2001 , 43 , 299 –311 .
14.
Tucker
R. W.
Wang
C.
An integrated model for drill-string dynamics . J. Sound Vibr. , 1999 , 224 (1 ), 123 –165 .
15.
Shelly
T.
Rotary engine turns the corner . Eureka , 1998 , 20 –21 .
16.
O'Conner
L.
A new turn for rotary-valve engines . Mech. Engng , 1993 , 54 –58 .