Experimental studies of translation-rotational motions of rolling bodies under elastic-frictional interaction with the bases

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• 作者：P. K. Plotnikov
• 关键词：preliminary displacement ; arm of rolling friction force ; elastic body ; roller ; motor car ; contact surface ; tangential force ; deformation
• 刊名：Mechanics of Solids
• 出版年：2015
• 出版时间：May 2015
• 年：2015
• 卷：50
• 期：3
• 页码：245-255
• 全文大小：1,249 KB
• 参考文献：1.N. N. Bukhgol鈥檛s, Basic Course of Theoretical Mechanics, Part 1 (GITTL, Moscow, 1933) [in Russian].
  2.I. V. Kragel鈥檚kii, M. N. Dobychin, and V. S. Kombalov, Friction and Wear: Calculation Methods (Mashinostroenie, Moscow, 1977; Pergamon, Oxford, 1982).
  3.I. G. Goryacheva, Mechanics of Friction Interaction (Nauka, Moscow, 2001) [in Russian].
  4.V. Ph. Zhuravlev, 鈥淭he Model of Dry Friction in the Problem of the Rolling of Rigid Bodies,鈥?Prikl. Mat. Mekh. 62(5), 762鈥?67 (1998) [J. Appl. Math. Mech. (Engl. Transl.) 62 (5), 705鈥?10 (1998)].MathSciNet
  5.V. Ph. Zhuravlev and D. M. Klimov, 鈥淭heory of the Shimmy Phenomenon,鈥?Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 3, 22鈥?9 (2010) [Mech. Solids (Engl. Transl.) 45 (3), 324鈥?30 (2010)].
  6.A. V. Karapetyan, 鈥淎 Two-Parameter Friction Model,鈥?Prikl. Mat. Mekh. 73(4), 515鈥?19 (2009) [J. Appl. Math. Mech. (Engl. Transl.) 73 (4), 367鈥?70 (2009)].MathSciNet
  7.S. V. Pinegin, Rolling Friction in Machines and Instruments (Mashinostroenie, Moscow, 1976) [in Russian].
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  9.A. V. Verkhovskii and V. M. Avraamov, 鈥淧resliding displacement Effect at the Beginning of Motion of a Roll,鈥?Izv. Tomsk. Politekh. Inst. 61(1), 53鈥?4 (1947).MATH
  10.P. K. Plotnikov, 鈥淢ethod for Determining the Coefficients of Rolling Friction and Rolling Resistance,鈥?RF Patent No. 2 467 308 (July 26, 2011; Published on November 20, 2012).
  11.I.M. Voronkov, Course of Theoretical Mechanics (GITTL, Moscow, 1955), [in Russian].
  12.V. V. Andronov and V. Ph. Zhuravlev, Dry Friction in Problems of Mechanics (IKI, NITs 鈥淩egular and Chaotic Dynamics鈥? Moscow-Izhevsk, 2010), [in Russian].
  13.P. K. Plotnikov, 鈥淔riction-Force Model for a Ball with Predisplacement of Rolling on a Rough Surface,鈥?Dokl. Ross. Akad. Nauk 432(4), 481鈥?85 (2010) [Dokl. Phys. (Engl. Transl.) 55 (6), 287鈥?91 (2010)].
  
• 作者单位：P. K. Plotnikov (1)
  
  1. Saratov State Technical University, ul. Politekhnicheskaya 77, Saratov, 410054, Russia
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Mechanics
  Russian Library of Science
  
• 出版者：Allerton Press, Inc. distributed exclusively by Springer Science+Business Media LLC
• ISSN：1934-7936

文摘

Experimental studies and their results are described for the translation-rotational motion of rolling bodies subjected to forces and elastic deformations of the contact tribological conjunction regions between such bodies and the bases. Most attention is paid to the motion of such bodies outside the contact surfaces in the regions of preliminary displacements and behind these regions. In several experiments, the processes are recorded and analyzed from the very beginning to the termination of the rolling body finite displacements. All displacement stages exhibit oscillations due to variations in the character of motions of the rolling bodies. In the case where the body is only under the action of its weight, the regions of normal strains symmetric with respect to the axis of the weight action are shown as surface indentations outside the region of direct contact between the base and the rolling body. The photographs of the base nonsymmetric deformations due to the additional action of the tangential force on the rolling body are presented. One can see that the indentation slope in the motion or the force action direction is steeper and the indentation depth and length are smaller than those on the opposite side. This suggests that, on the side where the rolling body surface enters the base, the volumes of their deformations and hence the elastic force are greater than on the opposite side. The graphs are constructed for the variation in the values of preliminary and kinematic (in motion) displacements and the arm of rolling friction force for two motor cars, for a solid steel roller, and for a steel roller with two foam rubber wheels. The graphs show that, quantitatively, the displacement values are by one and more orders of magnitude greater than the values of these arms of force. Qualitatively, the arms of rolling friction force, just as the displacements, are characterized by the presence of proportionality and saturation segments of their characteristics. The motion processes of the considered rolling bodies in the directions opposite to those in which each of the bodies moved under the action of the tangential external force are also shown.