Towards a Prototype of a Spherical Tippe Top

نویسندگان

  • Maria-Cristina Ciocci
  • Benny Malengier
  • Bavo Langerock
  • Bart Grimonprez
چکیده

1 Howest, ELIT, University College West Flanders, G. K. De Goedelaan 5, 8500 Kortrijk, Belgium 2 Department of Mathematical Analysis, Research Group NaM2, University of Ghent, Galglaan 2, 9000 Ghent, Belgium 3 Department of Architecture, Sint-Lucas Visual Arts, Institute for Higher Education in the Sciences and the Arts, 9000 Ghent, Belgium 4 Howest, Industrial Design Center, University College West Flanders, Marksesteenweg 58, 8500 Kortrijk, Belgium

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On the Influence of Friction on the Motion of a Top

synopsis A simple calculation gives, to a first approximation, the ,influence of sliding friction on the motion of a top, spinning on a horizontal plane. For a spherical body with axially symmetric mass distribution two effect are found : 1. The centre of gravity will be lifted if it lies eccentric in the sphere; 2. the axis with the greatest moment of inertia moves towards the vertical, if the...

متن کامل

Tippe Top Inversion as a Dissipation-Induced Instability

By treating tippe top inversion as a dissipation-induced instability, we explain tippe top inversion through a system we call the modified Maxwell–Bloch equations. We revisit previous work done on this problem and follow Or’s mathematical model [SIAM J. Appl. Math., 54 (1994), pp. 597–609]. A linear analysis of the equations of motion reveals that only the equilibrium points correspond to the i...

متن کامل

9 Dynamics of nano tippe top

We investigate the motion of a nano tippe top, which is formed from a C60 fullerene, and which is assumed to be spinning on either a graphene sheet or the interior of a single-walled carbon nanotube. We assume no specific geometric configuration for the top, however for example, the nano tippe top might be formed by joining a fullerene C60 with a small segment of a smaller radius carbon nanotub...

متن کامل

Motion of the Tippe Top: Gyroscopic Balance Condition and Stability

We reexamine a very classical problem, the spinning behavior of the tippe top on a horizontal table. The analysis is made for an eccentric sphere version of the tippe top, assuming a modified Coulomb law for the sliding friction, which is a continuous function of the slip velocity vP at the point of contact and vanishes at vP =0. We study the relevance of the gyroscopic balance condition (GBC),...

متن کامل

Dynamics of the Tippe Top via Routhian Reduction

We consider a tippe top modeled as an eccentric sphere, spinning on a horizontal table and subject to a sliding friction. Ignoring translational effects, we show that the system is reducible using a Routhian reduction technique. The reduced system is a two dimensional system of second order differential equations, that allows an elegant and compact way to retrieve the classification of tippe to...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • J. Applied Mathematics

دوره 2012  شماره 

صفحات  -

تاریخ انتشار 2012