Abstract
As a concrete application of the concepts of “derivative space” and “correspondent kinetic energy” in derivative space, and of the thought of “treating nonholonomic systems by changing them into formal holonomic system” which the authors have previously proposed in references [1, 2, 3], this paper derived another new universal D'Alembert principle and a new Maggi equation for arbitrary order nonholonomic mechanical systems. An example using the Maggi equation is given.
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References
Liang Tianling and Zhang Shuhong, A new Appell equation and generalized D'Alembert principle for nonholonomic mechanical systems in derivative space,Journal of Kunming Institute of Technology, 1 (1992), (in Chinese)
Liang Tianling, Universal D'Alembert principle and equation of motion for any order nonholonomic systems in derivative space,Chinese Science Bulletin, 24 (1992).
Liang Tianling, A new method of establishing the mathematical model for arbitrary nonlinear nonholonomic system,ICN M-2, Beijing (1993).
Wu Zhen,Analysis Mechanics, Publishing House of Shanghai Jiaotong University (1984). (in Chinese)
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Communicated by Wang Honggang
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Shuhong, Z., Tianling, L. Another class D'Alembert principle and a new Maggi equation for arbitrary order nonholonomic mechanical systems in derivative space. Appl Math Mech 17, 1165–1169 (1996). https://doi.org/10.1007/BF02498704
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DOI: https://doi.org/10.1007/BF02498704