Abstract
The Hamilton's principle is extended to the most general, nonholonomic variable mass systems. The Hamilton's principle of nonholonomic variable mass systems is obtained and is illustrated with examples.
Similar content being viewed by others
References
Wang Jia-he,Analytical dynamics, Publishing House of Higher Education, (1958). (in Chinese)
Par, L. A.,A Treatise on Analytical Dynamics, London, (1965).
Neimark, U.E., N.A. Fufaev,Dynamics of Nonholonomic Systems, Moscow, Science, (1967).
Kondo, K.,Engineering Mechanical Systems, tr. by Liu Yiheng, Shanghai Publishing House of Science and Technology, (1962). (in Chinese)
Huston, R.L., C.E. Passerello,Nonholonomic systems with nonlinear constraint equations, International Journal of Non-Linear Mechanics, Vol. 11, No. 5, 331–336.
Song Shu-hua,Rocket car, Science and Life, No. 4, (1981), 50–51. (in Chinese)
Ge Zheng-ming,The equations of motion for nonholonomic variable mass systems and their application to a control system, Journal of Shanghai Jiao-Tong University, No. 4, (1979), 1–22. (in Chinese)
Ferrers,Extension of Lagrange's equation, Journal of Mathematics, T. XII, (1873), London.
Woronetz, L.V.,On the equations of motion for nonholonomic systems, Math. Collection, Vol. 22, No. 4, (1901).
Tchapligne, S.A.,The study of nonholonomic systems, Gostehizdat, (1949).
Chetaev, N.G., On the Gauss' principle, Bulletin of Physics-Mathematics Society of Kazan National University, (1932–1933).
Hölder, O.,Ueber die Prinzipien von Hamilton und Maupertuis, Nachrichten von der Koen. Ges. der Wissenschaften zu Gottingen Math-phys. (1896).
Novoselov, V.S.,Variational Method in Mechanics, Publishing House of LGU (1966).
Suslov, G.K.,On another form of D'Alembert's principle, Math. Collection, Vol. 22, No. 4, (1901).
Rumyantzev, V.V.,On the Hamilton's principle for nonholonomic systems, PMM, Vol. 3, No. 3, (1978).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Zheng-ming, G., Yi-he, C. The Hamilton's principle of nonholonomic variable mass systems. Appl Math Mech 4, 291–302 (1983). https://doi.org/10.1007/BF01895453
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01895453