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Greener Journal of Physics and Natural Sciences Vol. 4(1), pp. 07-12, 2019 ISSN: 2384-6410 Copyright ©2019, the copyright of this article is retained by the author(s) DOI Link: https://doi.org/10.15580/GJPNS.2019.1.102619194 http://gjournals.org/GJPNS |
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Theorem for Change of Generalized Impulse in Theoretical Mechanics
Anastas Ivanov Ivanov
Todor Kableshkov University of Transport, Sofia, Bulgaria
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ARTICLE INFO |
ABSTRACT |
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Article No.:102619194 Type: Research DOI:10.15580/GJPNS.2019.1.102619194
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In this article, a rigid body absolute general motion is studied. The rigid body is assumed as homogeneous and unsymmetrical. New additional kinetic characteristics are used. The most important of these are the following: the vector-real generalized velocity of the rigid body, the vector-generalized impulse of the rigid body and the vector-real generalized force of the rigid body. Using these new kinetic characteristics, a new theorem is defined. It is called Theorem for change of the rigid body generalized impulse. With its help, the differential equations in matrix form are obtained. These equations describe the rigid body absolute general motion. Two cases are studied - a pole that coincides and does not coincide with the rigid body mass center. The new theorem enriches the theory of Rigid Body Mechanics. The compact matrix equations provide an excellent opportunity for studying the most complicated dynamic models. They are suitable for numerical solutions with modern mathematical programs such as MatLab, MathCAD and others. |
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Submitted: 26/10/2019 Accepted: 29/10/2019 Published: 22/11/2019 |
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*Corresponding Author Anastas Ivanov E-mail: aii2010@abv.bg |
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Keywords: Rigid Body Mechanics; absolute general motion; additional kinetic characteristics; theorem; generalized impulse |
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Cite this Article: Ivanov A (2019). Theorem for Change of Generalized Impulse in Theoretical Mechanics. Greener Journal of Physics and Natural Sciences, 4(1): 07-12, https://doi.org/10.15580/GJPNS.2019.1.102619194.
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