%0 Journal Article
%T A special feature of employment of Lagrange¡¯s equations to the scleronomic mechanical systems
%A Ihor Zanevskyy
%A Lyudmyla Zanevska
%J Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
%@ 2041-2983
%D 2018
%R 10.1177/0954406217706722
%X The research aims to reduce the volume of mathematical manipulations during a derivation of Lagrange¡¯s equations of scleronomic mechanical systems. Corresponding equations are derived using a direct substitution of the kinetic energy expression as homogenous quadratic function in Lagrange¡¯s equations of a general form. The reduction of mathematical manipulations is obtained avoiding of a member, which appears firstly as positive and secondly as a negative expression. A half of nonzero terms can be omitted using this shape of Lagrange¡¯s equations of the second type. Three examples of scleronomic systems support the idea of the research
%K Analytical mechanics
%K dynamics
%K Lagrange¡¯s equations
%K scleronomic constrains
%K mathematical modeling
%U https://journals.sagepub.com/doi/full/10.1177/0954406217706722