Abstract
The new forms of Appell equations in terms of quasi-velocities and quasi-accelerations for 1st order and 2nd order non-holonomic systems are presented. And the results obtained are extended to variable mass systems. Finally an example is given.
Similar content being viewed by others
References
Appell.P., Traité de mécanique rationnelle, T.II, 1953.
Pogosov.G.S.,Vestn.MGU, 10(1948) (in Russian).
Gantmaher.F.R., A Treatise on Analytical Mechanics, GIFML, 1960 (in Russian).
Mei Fengxiang, Foundations of Mechanics of Non-holonomic Systems, BITP, 1985 (in Chinese).
Do Shan,Prikl.Mat.eh. 37, 2(1973) (in Russian).
Ispolov.Yu.G.,Prikl.Mat.Meh. 46, 3(1982) (in Russian).
Niu Qingping,Acta Mechanica Sinica,7, 2(1964) (in Chinese).
Dobronravov.V.V., Basic of Mechanics of Non-holonomic systems, M, 1970 (in Russian).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Shijie, Y., Fengxiang, M. Appell equations in terms of quasi-velocities and quasi-accelerations. Acta Mech Sinica 3, 268–277 (1987). https://doi.org/10.1007/BF02486773
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02486773