Open AccessA new form of equations of motion of nonholonomic mechanical systems
Author(s) -
Do Sanh
Publication year - 1997
Publication title -
vietnam journal of mechanics
Language(s) - English
Resource type - Journals
eISSN - 2815-5882
pISSN - 0866-7136
DOI - 10.15625/0866-7136/10061
Subject(s) - nonholonomic system , equations of motion , inertia , relation (database) , matrix (chemical analysis) , sylvester's law of inertia , motion (physics) , mechanical system , inverse , mathematics , control theory (sociology) , computer science , classical mechanics , physics , symmetric matrix , artificial intelligence , control (management) , geometry , materials science , robot , eigenvalues and eigenvectors , composite material , mobile robot , quantum mechanics , database
In the paper it is given a new form of equations of motion of nonholonomic mechanical systems. The obtained equations are written in a matrix form and in order to establish them it is unnecessary to calculate the inverse matrix of the matrix of inertia. It is important that it is possible to obtain the relation between the error of realizing constraints and that of computing the solution of equations of motion of the system under consideration.
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