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Analysis of pole acceleration in spatial motions by the generalization of pole changing velocity
It is well known in planar kinematics of rigid bodies that the acceleration of the material point coinciding with the instantaneous center of rotation (or pole) is perpendicular to the so-called pole changing velocity. In the present paper, the concept of pole changing velocity is generalized to spa...
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Formato: | Online Artículo Texto |
Lenguaje: | English |
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Springer Vienna
2019
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Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6565658/ https://www.ncbi.nlm.nih.gov/pubmed/31258154 http://dx.doi.org/10.1007/s00707-019-02408-9 |
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author | Csernák, Gábor |
author_facet | Csernák, Gábor |
author_sort | Csernák, Gábor |
collection | PubMed |
description | It is well known in planar kinematics of rigid bodies that the acceleration of the material point coinciding with the instantaneous center of rotation (or pole) is perpendicular to the so-called pole changing velocity. In the present paper, the concept of pole changing velocity is generalized to spatial motions. Using this result, the acceleration of the material points along the instantaneous screw axis can be expressed in a straightforward way, without the tools of advanced differential geometry. |
format | Online Article Text |
id | pubmed-6565658 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2019 |
publisher | Springer Vienna |
record_format | MEDLINE/PubMed |
spelling | pubmed-65656582019-06-28 Analysis of pole acceleration in spatial motions by the generalization of pole changing velocity Csernák, Gábor Acta Mech Original Paper It is well known in planar kinematics of rigid bodies that the acceleration of the material point coinciding with the instantaneous center of rotation (or pole) is perpendicular to the so-called pole changing velocity. In the present paper, the concept of pole changing velocity is generalized to spatial motions. Using this result, the acceleration of the material points along the instantaneous screw axis can be expressed in a straightforward way, without the tools of advanced differential geometry. Springer Vienna 2019-05-09 2019 /pmc/articles/PMC6565658/ /pubmed/31258154 http://dx.doi.org/10.1007/s00707-019-02408-9 Text en © The Author(s) 2019 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. |
spellingShingle | Original Paper Csernák, Gábor Analysis of pole acceleration in spatial motions by the generalization of pole changing velocity |
title | Analysis of pole acceleration in spatial motions by the generalization of pole changing velocity |
title_full | Analysis of pole acceleration in spatial motions by the generalization of pole changing velocity |
title_fullStr | Analysis of pole acceleration in spatial motions by the generalization of pole changing velocity |
title_full_unstemmed | Analysis of pole acceleration in spatial motions by the generalization of pole changing velocity |
title_short | Analysis of pole acceleration in spatial motions by the generalization of pole changing velocity |
title_sort | analysis of pole acceleration in spatial motions by the generalization of pole changing velocity |
topic | Original Paper |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6565658/ https://www.ncbi.nlm.nih.gov/pubmed/31258154 http://dx.doi.org/10.1007/s00707-019-02408-9 |
work_keys_str_mv | AT csernakgabor analysisofpoleaccelerationinspatialmotionsbythegeneralizationofpolechangingvelocity |