A tangential space is introduced to variety of all possible mechanical system positions. That allows one to write its equations of motion in the form of single vector equation resembling the Newton second law. The Poincare-Chetaev-Rumyantsev equations and the other main equations of motion are obtained from this equation written for ideal nonlinear nonstationary nongolonomous constraints of the first order.

Original languageEnglish
Pages (from-to)746-754
Number of pages9
JournalPrikladnaya Matematika i Mekhanika
Volume65
Issue number5
StatePublished - 2001

    Scopus subject areas

  • Applied Mathematics

ID: 71886271