Abstract
In this paper conservation laws of nonholonomic nonconservative dynamical systems are studied by using the differential variational principles of Jourdain and the generalized Noether's identities of nonconservative systems subject to first order nonlinear nonholonomic constraints are provided.
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References
Noether, A. E., Nachr. Kgl. Ges. Wiss. Gottingen, Math. Phys. Kl. (1918), 235–257.
Candottie, E., Palmieri, C. and Vitale, B.,Am. J. Phys. 40, (1972) 424–429.
Djukic, Dj. S., Vujanovic, B.,Acta Mechanica,23, (1975), 17–27.
Vujanovic, B.,Int. J. Non-Linear Mech. 13, (1978), 185–197.
Vujanovic, B.,Acta Mechanica,65, (1986), 63–80.
Li Ziping,Acta Physica,12, (1981), 1659–1671, (in Chinese).
Luo Yong and Zhao Yueyu,J. Beijing Inst. Technol., 3 (1986). (in Chinese).
Bahar, L. Y. and Kwatny, H. G.,Int. J. Non-Linear Mech.,22, (1987), 125–138.
Zhao Shiying,Appl. Math. and Mech.,7, 9 (1986).
Mei Fengxiang, Foundation of Mechanics of Nonholonomic Systems, Beijing Institute of Technology Press, (1985), (in Chinese).
Niu Qingping,Acta Mechanica Sinica,7, 2 (1964), (in Chinese).
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The project is supported by the National Natural Science Foundation of China.
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Duan, L. Conservation laws of nonholonomic nonconservative dynamical systems. Acta Mech Sinica 5, 167–175 (1989). https://doi.org/10.1007/BF02489142
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DOI: https://doi.org/10.1007/BF02489142