Paradox of the mechanism theory has been detected in connection with attempts of practical use mechanism with two degree of freedom and one entry for achievement of power adaptation. According to the mechanism theory and machines such mechanism is statically indefinable. However recently there were patents and publications with the description of efficient two mobile adaptive mechanisms with one entry. Paradox of the mechanism theory consists in the following: the kinematic chain with two degree of freedom and one entry containing the closed contour is statically and kinematically definable. In Ivanov's works the proof of definability of two mobile kinematic chain motion is resulted on the basis of additional analytical constraint by a virtual works principle. A certain geometrical image comparable to design there should match to analytical additional constraint. The present work is devoted to disclosing of a geometric constraint of parameters of kinematic chain with two degree of freedom and to statement of the mechanism theory paradox in geometrical and an analytic form. Work is executed on the basis of regularities of mechanics and mechanism theory.
| DOI | 10.11648/j.ajma.s.2014020601.11 |
| Published in |
American Journal of Mechanics and Applications (Volume 2, Issue 6-1, November 2014)
This article belongs to the Special Issue Adaptive Transmissions |
| Page(s) | 1-4 |
| Creative Commons |
This is an Open Access article, 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 or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2024. Published by Science Publishing Group |
Mechanism Science, Paradox, Force Adaptation
| [1] | Levitsky N.I.: Theory of mechanisms and machines. М, the Science. Russia (1979). |
| [2] | Samuel J. Crockett. Shiftless, continuously-aligning transmission. Patent of USA 4,932,928, Cl. F16H 47/08, U.S. Cl. 475/51; 475/47. USA (1990). |
| [3] | Volkov I.V.: Way of automatic and continuous change of a twisting moment and speed of twirl of the output shaft depending on a tractive resistance and the device for its realization. The invention description to the patent of Russia RU 2 234 626. Russia (2004). |
| [4] | Harries John: Power transmission system comprising two sets of epicycle gears. Patent of Great Britain GB2238090 (A). UK (1991). |
| [5] | Ivanov K.S., Yaroslavtseva E.K. : Way of automatic and continuous change of a twisting moment and speed of twirl of the output shaft depending on a tractive resistance and the device for its realization. The patent of Russia RU № 2398989. Russia (2010). |
| [6] | Konstantin S. Ivanov: Almaty, KAZ - Owner of the registered sample. The name - Device of automatic and continuous change of a twisting moment – and changes of a corrected speed of output shaft depending on a tractive resistance. The deed on registration of the registered sample № 20 2012 101 273.1. Day of Registration 02.05. (2012). German patent and firm establishment. Federal Republic Germany. (2012). |
| [7] | Ivanov K.S.: The simplest automatic transfer box. WCE (2010). World Congress on Engineering 2010 (ICME). London, pp. 1179 – 1184. UK (2010). |
| [8] | Ivanov K.S.theorem about balance of the closed contour.//the Mechanism theory and machines. The periodic scientifically-methodical log. №2 (16). 2010. A volume 8. The St.-Petersburg state polytechnical university. With. 85 – 89. |
| [9] | Ivanov K.S. Paradox of mechanics – a basis of creation CVT. Transactions of 2-d IFToMM Asian Conference on Mechanisms and Machines Science. November 7-10, 2012, Tokyo, Japan. P. 245 – 264. |
APA Style
Konstantin Ivanov A., Bulat Hisarov. (2014). Paradoxical Mechanics for Creation of Adaptive Gear Mechanism – Devoted to International Day of Science. American Journal of Mechanics and Applications, 2(6-1), 1-4. https://doi.org/10.11648/j.ajma.s.2014020601.11
ACS Style
Konstantin Ivanov A.; Bulat Hisarov. Paradoxical Mechanics for Creation of Adaptive Gear Mechanism – Devoted to International Day of Science. Am. J. Mech. Appl. 2014, 2(6-1), 1-4. doi: 10.11648/j.ajma.s.2014020601.11
AMA Style
Konstantin Ivanov A., Bulat Hisarov. Paradoxical Mechanics for Creation of Adaptive Gear Mechanism – Devoted to International Day of Science. Am J Mech Appl. 2014;2(6-1):1-4. doi: 10.11648/j.ajma.s.2014020601.11
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Download@article{10.11648/j.ajma.s.2014020601.11,
author = {Konstantin Ivanov A. and Bulat Hisarov},
title = {Paradoxical Mechanics for Creation of Adaptive Gear Mechanism – Devoted to International Day of Science},
journal = {American Journal of Mechanics and Applications},
volume = {2},
number = {6-1},
pages = {1-4},
doi = {10.11648/j.ajma.s.2014020601.11},
url = {https://doi.org/10.11648/j.ajma.s.2014020601.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajma.s.2014020601.11},
abstract = {Paradox of the mechanism theory has been detected in connection with attempts of practical use mechanism with two degree of freedom and one entry for achievement of power adaptation. According to the mechanism theory and machines such mechanism is statically indefinable. However recently there were patents and publications with the description of efficient two mobile adaptive mechanisms with one entry. Paradox of the mechanism theory consists in the following: the kinematic chain with two degree of freedom and one entry containing the closed contour is statically and kinematically definable. In Ivanov's works the proof of definability of two mobile kinematic chain motion is resulted on the basis of additional analytical constraint by a virtual works principle. A certain geometrical image comparable to design there should match to analytical additional constraint. The present work is devoted to disclosing of a geometric constraint of parameters of kinematic chain with two degree of freedom and to statement of the mechanism theory paradox in geometrical and an analytic form. Work is executed on the basis of regularities of mechanics and mechanism theory.},
year = {2014}
}
TY - JOUR T1 - Paradoxical Mechanics for Creation of Adaptive Gear Mechanism – Devoted to International Day of Science AU - Konstantin Ivanov A. AU - Bulat Hisarov Y1 - 2014/12/27 PY - 2014 N1 - https://doi.org/10.11648/j.ajma.s.2014020601.11 DO - 10.11648/j.ajma.s.2014020601.11 T2 - American Journal of Mechanics and Applications JF - American Journal of Mechanics and Applications JO - American Journal of Mechanics and Applications SP - 1 EP - 4 PB - Science Publishing Group SN - 2376-6131 UR - https://doi.org/10.11648/j.ajma.s.2014020601.11 AB - Paradox of the mechanism theory has been detected in connection with attempts of practical use mechanism with two degree of freedom and one entry for achievement of power adaptation. According to the mechanism theory and machines such mechanism is statically indefinable. However recently there were patents and publications with the description of efficient two mobile adaptive mechanisms with one entry. Paradox of the mechanism theory consists in the following: the kinematic chain with two degree of freedom and one entry containing the closed contour is statically and kinematically definable. In Ivanov's works the proof of definability of two mobile kinematic chain motion is resulted on the basis of additional analytical constraint by a virtual works principle. A certain geometrical image comparable to design there should match to analytical additional constraint. The present work is devoted to disclosing of a geometric constraint of parameters of kinematic chain with two degree of freedom and to statement of the mechanism theory paradox in geometrical and an analytic form. Work is executed on the basis of regularities of mechanics and mechanism theory. VL - 2 IS - 6-1 ER -
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