[图书][B] Numerics of unilateral contacts and friction: modeling and numerical time integration in non-smooth dynamics

C Studer - 2009 - books.google.com
Mechanics provides the link between mathematics and practical engineering app-cations. It
is one of the oldest sciences, and many famous scientists have left and will leave their mark …

The rise and fall of spinning tops

R Cross - American Journal of Physics, 2013 - pubs.aip.org
The motion of four different spinning tops was filmed with a high-speed video camera. Unlike
pointed tops, tops with a rounded peg precess initially about a vertical axis that lies well …

Augmented time-stepping integration of non-smooth dynamical systems

CW Studer - 2008 - research-collection.ethz.ch
This thesis deals with the time integration of rigid mechanical systems with unilateral
contacts and/or friction. Such systems are modeled within this thesis in a non-smooth way, ie …

On the loss of contact of the Euler disk

AV Borisov, IS Mamaev, YL Karavaev - Nonlinear Dynamics, 2015 - Springer
This paper is an experimental investigation of a round uniform disk rolling on a horizontal
surface. Two methods for experimentally determining the loss of contact of the rolling disk …

Dissipation-induced heteroclinic orbits in tippe tops

NM Bou-Rabee, JE Marsden, LA Romero - SIAM review, 2008 - SIAM
This paper demonstrates that the conditions for the existence of a dissipation-induced
heteroclinic orbit between the inverted and noninverted states of a tippe top are determined …

Rattleback dynamics and its reversal time of rotation

Y Kondo, H Nakanishi - Physical Review E, 2017 - APS
A rattleback is a rigid, semielliptic toy which exhibits unintuitive behavior; when it is spun in
one direction, it soon begins pitching and stops spinning, then it starts to spin in the opposite …

Why does a spinning egg rise?

R Cross - European Journal of Physics, 2018 - iopscience.iop.org
Experimental and theoretical results are presented concerning the rise of a spinning egg. It
was found that an egg rises quickly while it is sliding and then more slowly when it starts …

Gliding motions of a rigid body: the curious dynamics of Littlewood's rolling hoop

A Bronars, OM O'Reilly - Proceedings of the Royal …, 2019 - royalsocietypublishing.org
The celebrated mathematician John E. Littlewood noted that a hoop with an attached mass
rolling on a ground plane may exhibit self-induced jumping. Subsequent works showed that …

Self-induced jumping of a rigid body of revolution on a smooth horizontal surface

M Batista - International Journal of Non-Linear Mechanics, 2008 - Elsevier
The article is devoted to the study of the motion of a rigid body of revolution on a rigid and
perfectly smooth horizontal surface under the influence of the uniform gravitational field …

Lecture notes in applied and computational mechanics

IF Pfeiffer, IP Wriggers - Springer, 2008 - Springer
This book collects some papers dealing with actual Civil Engineering problems. The
approach is in the line of the Italian-French school and therefore deeply couples mechanics …