Abstract
In this paper, the unilaterally constrained motions of a large class of rigid bodies systems are studied, both locally and globally. The main conclusion is that, locally, such a system bahaves like a particle in a Riemannian manifold with boundary; globally, under the assumption of energy conservation, the system behaves like a billiards system over a Riemannian manifold with boundary.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
J. J. Moreau, Quadratic programming in mechanics: dynamics of one-sided constrainsts, J. SIAM Control, 4, 1 (1996).
R. Abraham and J. E. Marsden, Foundations of Mechanics, 2nd Edition, Addison-Wesley, Reading Mass (1978).
V. I. Arnold, Mathematical Methods in Classical Mechanics, Springer-Verlag (1978).
Ya G. Sinai, Introduction to Ergodic Theory, Princeton, N. J., Princeton Univ. Press (1976).
Li Hongbo, Unilaterally constrained motions of mechanical systems, Graduate Thesis. Peking University (1991). (in Chinese)
Author information
Authors and Affiliations
Additional information
Communicated by Zheng Qianshui
Rights and permissions
About this article
Cite this article
Hongbo, L. On unilaterally constrained motions of rigid bodies systems. Appl Math Mech 17, 939–944 (1996). https://doi.org/10.1007/BF00147131
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00147131