Jourdain’s variational equation and Appell’s equation of motion for nonholonomic dynamical systems

作者: Li-Sheng Wang , Yih-Hsing Pao

DOI: 10.1119/1.1514239

关键词:

摘要: Based on Jourdain’s variational equation proposed in 1909, we deduce a minimal set of general equations motion for nonholomic dynamical systems particles and rigid bodies. This the system, which differs slightly from Gibbs–Appell equation, appears to be same as derived by Kane 1961. Since was established Appell 1903 basis D’Alembert’s principle, newly is named Appell’s equation.

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