Applied Mathematics and Mechanics (English Edition) ›› 1994, Vol. 15 ›› Issue (6): 537-547.

• 论文 • 上一篇    下一篇

THE MOTION OF A SPHERE WITH WEAK NUTATION ON A ROUGH HORIZONTAL PLANE

杨霁英   

  1. Department of Applied Physics, Shanghai Teachers'College of Technology, Shanghai
  • 收稿日期:1993-04-05 出版日期:1994-06-18 发布日期:1994-06-18

THE MOTION OF A SPHERE WITH WEAK NUTATION ON A ROUGH HORIZONTAL PLANE

Yang Ji-ying   

  1. Department of Applied Physics, Shanghai Teachers'College of Technology, Shanghai
  • Received:1993-04-05 Online:1994-06-18 Published:1994-06-18

摘要: For the motion of a sphere on a rough horizontal plane, in the previous paper [1] the author aimed at providing approximate analytical solutions while the nutation is neglected,In this paper, the control equations for the sphere with nutation have beendeduced on the basis of paper [1]. Through the medium of solving these equations, the conclusion for the velocity of contact point in paper [1] is still proved true for the case with nutation. What is more, some interesting results are gained, for example the ve-locity of centre and contact point is relative to the angular velocity of spin and nuta-tion the direction of velocity of centre and contact point is constant. Under the condi-tion which is supposed to be weak nutation, the approximate analytical solutions are obtained,so that the results of paper [1] is proved to be true.

关键词: electro-magneto-elasticity, SH wave, stress intensity factor, integral equation, nutation, motion of a sphere, rough plane, contact point

Abstract: For the motion of a sphere on a rough horizontal plane, in the previous paper [1] the author aimed at providing approximate analytical solutions while the nutation is neglected,In this paper, the control equations for the sphere with nutation have beendeduced on the basis of paper [1]. Through the medium of solving these equations, the conclusion for the velocity of contact point in paper [1] is still proved true for the case with nutation. What is more, some interesting results are gained, for example the ve-locity of centre and contact point is relative to the angular velocity of spin and nuta-tion the direction of velocity of centre and contact point is constant. Under the condi-tion which is supposed to be weak nutation, the approximate analytical solutions are obtained,so that the results of paper [1] is proved to be true.

Key words: electro-magneto-elasticity, SH wave, stress intensity factor, integral equation, nutation, motion of a sphere, rough plane, contact point

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