Berezinskaya, S. N.; Kugushev, E. I.; Sorokina, O. V. Motion of mechanical systems with unilateral constraints. (Russian, English) Zbl 1100.70514 Vestn. Mosk. Univ., Ser. I 2005, No. 3, 18-24 (2005); translation in Mosc. Univ. Mech. Bull. 60, No. 3, 1-8 (2005). The authors propose to extend the d’Alembert–Lagrange principle in the integral form for mechanical systems with ideal unilateral constraints, both holonomic and nonholonomic ones. Equations of motion with measures are deduced in the form of the first and second kind Lagrange equations. Also, main dynamics laws for such systems and Routh method of ignoring cyclic coordinates are presented. Some examples are cited. Reviewer: Julia A. Martynyuk (Kyïv) Cited in 3 Documents MSC: 70G45 Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics 34A37 Ordinary differential equations with impulses 70F20 Holonomic systems related to the dynamics of a system of particles 70F25 Nonholonomic systems related to the dynamics of a system of particles Keywords:equations of motion with measures; d’Alembert–Lagrange principle PDFBibTeX XMLCite \textit{S. N. Berezinskaya} et al., Vestn. Mosk. Univ., Ser. I 2005, No. 3, 18--24 (2005; Zbl 1100.70514); translation in Mosc. Univ. Mech. Bull. 60, No. 3, 1--8 (2005)