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The Hamilton's principle of nonholonomic variable mass systems

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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.

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References

  1. Wang Jia-he,Analytical dynamics, Publishing House of Higher Education, (1958). (in Chinese)

  2. Par, L. A.,A Treatise on Analytical Dynamics, London, (1965).

  3. Neimark, U.E., N.A. Fufaev,Dynamics of Nonholonomic Systems, Moscow, Science, (1967).

    Google Scholar 

  4. Kondo, K.,Engineering Mechanical Systems, tr. by Liu Yiheng, Shanghai Publishing House of Science and Technology, (1962). (in Chinese)

  5. Huston, R.L., C.E. Passerello,Nonholonomic systems with nonlinear constraint equations, International Journal of Non-Linear Mechanics, Vol. 11, No. 5, 331–336.

  6. Song Shu-hua,Rocket car, Science and Life, No. 4, (1981), 50–51. (in Chinese)

    Google Scholar 

  7. 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)

    Google Scholar 

  8. Ferrers,Extension of Lagrange's equation, Journal of Mathematics, T. XII, (1873), London.

  9. Woronetz, L.V.,On the equations of motion for nonholonomic systems, Math. Collection, Vol. 22, No. 4, (1901).

  10. Tchapligne, S.A.,The study of nonholonomic systems, Gostehizdat, (1949).

  11. Chetaev, N.G., On the Gauss' principle, Bulletin of Physics-Mathematics Society of Kazan National University, (1932–1933).

  12. Hölder, O.,Ueber die Prinzipien von Hamilton und Maupertuis, Nachrichten von der Koen. Ges. der Wissenschaften zu Gottingen Math-phys. (1896).

  13. Novoselov, V.S.,Variational Method in Mechanics, Publishing House of LGU (1966).

  14. Suslov, G.K.,On another form of D'Alembert's principle, Math. Collection, Vol. 22, No. 4, (1901).

  15. Rumyantzev, V.V.,On the Hamilton's principle for nonholonomic systems, PMM, Vol. 3, No. 3, (1978).

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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

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