A form of equations of motion of a mechanical system in quasi-coordinates
Author(s) -
Do Sanh
Publication year - 2000
Publication title -
vietnam journal of mechanics
Language(s) - English
Resource type - Journals
eISSN - 2815-5882
pISSN - 0866-7136
DOI - 10.15625/0866-7136/9986
Subject(s) - holonomic , nonholonomic system , generalized coordinates , holonomic constraints , equations of motion , simultaneous equations , mathematics , motion (physics) , independent equation , simple (philosophy) , differential equation , differential algebraic equation , algebraic equation , mathematical analysis , classical mechanics , ordinary differential equation , physics , computer science , nonlinear system , philosophy , epistemology , quantum mechanics , artificial intelligence , robot , mobile robot
In [3, 4, 5] the form of equations of motion in holonomic coordinates has constructed. The equations obtained give an effective tool for investigating complicated systems. In the present paper the form of equations of motion is written in quasi-coordinates. These equations are solved with respect to quasi-accelerations, which allow to define the motion of a holonomic and nonholonomic systems by a closed set of algebraic – differential equations. The reaction forces of constraints imposed on the system under consideration are calculated by means of a simple algorithm. For illustrating the effectiveness of this form of equations an example is considered.
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