Abstract
The stability for the equilibrium states of Chaplygin's systems is considered. The equations of motion of Chaplygin's systems and the existence conditions of their equilibrium states are given. Some criteria of stability for the equilibrium. states of Chaplygin's systems are obtained. Two examples are finally given.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
M. A. Aiserman and F. R. Gantmacher, Stabilitát der gleichgewichtslage in einem nichtholonomen system,ZAMM,37 (1957), 74–75.
Yu. I. Neimark and N. A. Fufaev,Dynamics of Nonholonomic System, Nauka, Moscow (1967).
A. V. Karapetyan, On stablity of the equilibrium of nonholonomic systems,Appl. Math. and Mech.,39, 6 (1975), 1135–1140.
Mei Fengxiang, On stablity for the state of equilibrium of nonlinear nonholonomic systems,Chinese Science Bulletic,37, 1 (1992), 82–85.
Mei Fengxiang,Foundations of Nonholonomic Mechanical Systems, Beijing Institute of Technology Press, Beijing (1985).
N. N. Krasovski,Certain Problems of the Theory of the Stability of Motion, Fizmatgiz, Moscow (1959), (in Russian)
Author information
Authors and Affiliations
Additional information
Communicated by Fan Tachung
Project supported by the National natural Science Foundation of China
Rights and permissions
About this article
Cite this article
Haiping, Z., Rongchang, S. & Fengxiang, M. Stability for the equilibrium state of Chaplygin's systéms. Appl Math Mech 16, 635–642 (1995). https://doi.org/10.1007/BF02455247
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02455247