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DERIVATION OF THE EQUATIONS FOR THE ACCELERATION OF THE SECOND AND THIRD ORDER IN THE NATURAL COORDINATES IN A COMPACT FORM
Shein Alexander Ivanovich1, Bochkarev Roman Vadimovich2
1Penza State University of Architecture and Construction, Doctor of Technical Sciences, Professor of "Mechanics"
2Penza State University of Architecture and Construction, Graduate student of "Mechanics"
1Penza State University of Architecture and Construction, Doctor of Technical Sciences, Professor of "Mechanics"
2Penza State University of Architecture and Construction, Graduate student of "Mechanics"
Abstract
Article is devoted to solving the problem of finding the equations for the acceleration of the second and third order in the natural coordinates in a compact form. The solution is based on the use of the Frenet formulas, accompanied by mathematical calculations and presented in the form of formulas. These formulas can be used for modeling the dynamics research facilities.
Keywords: acceleration third order, jerk, second-order acceleration
Category: 01.00.00 Physics and mathematics
Article reference:
Derivation of the equations for the acceleration of the second and third order in the natural coordinates in a compact form // Modern scientific researches and innovations. 2015. № 3. P. 1 [Electronic journal]. URL: https://web.snauka.ru/en/issues/2015/03/48813
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