UDC 621.01

APPLICATION OF THE EQUATIONS OF NIELSEN TO RESEARCH OF MOVEMENT OF THE FLAT MECHANISM

Doronin Felix Aleksandrovitch
Petersburg State Transport University
PhD in Technical Science, Assistant Professor of the Theoretical Mechanics Department

Abstract
The algorithm of drawing up the differential equations of movement of flat hinge mechanisms with one degree of freedom, based on application of the Nielsen’s equations and Jacobi's matrix is offered. The Solution of a problem in «Mathcad» environment easily allows to receive chronograms of the generalized coordinates, speeds and the internal forces operating on the links of the mechanism.

Keywords: analog of acceleration, analog of speed, Jacobi's matrix, Lagrangian mechanics, Nielsen's equation

Category: Common rubric

Article reference:
Doronin F.A. Application of the equations of Nielsen to research of movement of the flat mechanism // Researches in Science. 2015. № 3 [Electronic journal]. URL: https://science.snauka.ru/en/2015/03/9706

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