Forms of Hamilton's principle in quasi-coordinates

✍ Scribed by V.V. Rumyantsev

• Book ID: 104142717
• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 336 KB
• Volume: 63
• Category: Article
• ISSN: 0021-8928
• DOI: 10.1016/s0021-8928(99)00024-6

✦ Synopsis

In a previous paper [1], certain conditions, due to H61der, Voronets and Suslov in the case of linear constraints, for deriving three forms of Hamilton's principle in generalized coordinates and velocities for the general case of non-linear non-holonomic constraints were analysed. It was shown that these three forms are equivalent and transform into one another. As a sequel to that analysis, similar issues are investigated for the case of non-linear quasi-coordinates and quasi-velocities and, in addition, the three forms of Hamilton's principle are exhibited in the case of a Legendre transformation, which transforms the equation of motion to canonical form in quasi-coordinates.