Abstract
Making use of conclusions from [1]: (1) d-δ operations are commutative; (2) the Appell-Chetaev condition restricting virtual displacements is superfluous, the present paper derives the Lagrange equation without multipliers for a class of first-order nonlinear nonholonomic dynamical systems by means of variational principle. This kind of equations is new.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Guo Zhong-heng and Gao Pu-yun, On the classic nonholonomic dynamics,Acta Mech. Sinica,5 (1989), 253–259.
Mei Feng-xiang,Foundations of Dynamics of Nonholonomic Systems, Beijing Institute of Technology Press, Beijing (1985). (in Chinese)
Mei Feng-xiang,Studies of Nonholonomic, Dynamics Beijing Institute of Technology Press, Beijing (1987). (in Chinese)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Pu-yun, G., Zhong-heng, G. Lagrange equation of a class of nonholonomic systems. Appl Math Mech 12, 421–424 (1991). https://doi.org/10.1007/BF02019585
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02019585