Qualitative Analysis of the Nonholonomic Rolling of a Rubber Wheel with Sharp Edges
| العنوان: | Qualitative Analysis of the Nonholonomic Rolling of a Rubber Wheel with Sharp Edges |
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| المؤلفون: | A. A. Kilin, Elena N. Pivovarova |
| المصدر: | Regular and Chaotic Dynamics. 24:212-233 |
| بيانات النشر: | Pleiades Publishing Ltd, 2019. |
| سنة النشر: | 2019 |
| مصطلحات موضوعية: | Physics, Nonholonomic system, 0209 industrial biotechnology, Geometry, 02 engineering and technology, Physics::Classical Physics, Horizontal plane, 01 natural sciences, Computer Science::Robotics, 020901 industrial engineering & automation, Mathematics (miscellaneous), Qualitative analysis, Natural rubber, visual_art, 0103 physical sciences, visual_art.visual_art_medium, Ball (mathematics), 010301 acoustics, Spinning, Slipping, Reference frame |
| الوصف: | This paper presents a qualitative analysis of the dynamics in a fixed reference frame of a wheel with sharp edges that rolls on a horizontal plane without slipping at the point of contact and without spinning relative to the vertical. The wheel is a ball that is symmetrically truncated on both sides and has a displaced center of mass. The dynamics of such a system is described by the model of the ball’s motion where the wheel rolls with its spherical part in contact with the supporting plane and the model of the disk’s motion where the contact point lies on the sharp edge of the wheel. A classification is given of possible motions of the wheel depending on whether there are transitions from its spherical part to sharp edges. An analysis is made of the behavior of the point of contact of the wheel with the plane for different values of the system parameters, first integrals and initial conditions. Conditions for boundedness and unboundedness of the wheel’s motion are obtained. Conditions for the fall of the wheel on the plane of sections are presented. |
| تدمد: | 1468-4845 1560-3547 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::9f8dc614f62a1f977d81e30d61cc6271 https://doi.org/10.1134/s1560354719020072 |
| حقوق: | CLOSED |
| رقم الأكسشن: | edsair.doi...........9f8dc614f62a1f977d81e30d61cc6271 |
| قاعدة البيانات: | OpenAIRE |
Find this article in full text from Springer Verlag. | تدمد: | 14684845 15603547 |
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