Abstract
In this paper, the new forms of the differential equations of motion of the systems with higher-order nonholonomic constraints are obtained at first, and then the equivalence between these equations and the known equations is demonstrated. Finally an example is given to illustrate the application of our new equations.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Dolaptchiew, B., Sur les systèmes mécaniques nonholonomes assujettis à les liaisons arbitraires,C.R. Acad. Sc. Paris,262, 11 (1966), 631–634. (in Frence)
Mei Feng-xiang, Chaplygin's equations for mechanical systems with arbitrary order nonholonomic constraints,Journal of Beijing Institute of Technology, 2 (1981), 17 - 29. (in Chinese)
Liu Zheng-fu, Jin Fu-sheng and Mei Feng-xiang, Nielsen's and Euler's operators of higher order in analytical mechanics,Applied Math, and Mech.,7, 1 (1986), 53 - 63.
Dušan Mićević, and Rusov Lazar, Nove forme Jednačina analitičke mechanike,Zb. Rad. Mat. In-t. Belgrade, 4 (1984), 139–148. (in Yugoslavian)
Mangeron, D. et S. Deleanu, Sur une classe d'équations de la mécanique analytique au sens de I. Tzenoff,C.R. Acad. Rulg. Sc.,15 (1962). (in French)
Hamel, G.,Theoretische Mechanik, S-V, Berlin (1949), 505–506. (in German)
Author information
Authors and Affiliations
Additional information
Communicated by Tai Tien-min
Rights and permissions
About this article
Cite this article
Ze-chun, S., Feng-xiang, M. On the new forms of the differential equations of the systems with higher-order nonholonomic constraints. Appl Math Mech 8, 189–196 (1987). https://doi.org/10.1007/BF02019092
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02019092