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Gibbs-Appell's equations of variable mass nonlinear nonholonomic mechanical systems

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Abstract

In this paper, the Gibbs-Appell's equations of motion are extended to the most general variable mass nonholonomic mechanical systems. Then the Gibbs-Appell's equations of motion in terms of generalized coordinates or quasi-coordinates and an integral variational principle of variable mass nonlinear nonholonomic mechanical systems are obtained. Finally, an example is given.

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References

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Communicated by Chien Wei-zang

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Yong-fen, Q. Gibbs-Appell's equations of variable mass nonlinear nonholonomic mechanical systems. Appl Math Mech 11, 973–983 (1990). https://doi.org/10.1007/BF02115681

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  • DOI: https://doi.org/10.1007/BF02115681

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