EFFECT OF THE LINK-LENGTH RATIO ON PAINLEVÉ PARADOX FOR A SLIDING TWO-LINK ROBOT

Document Type : Original Article

Authors

1 Associate Professor, Dept. of Eng. Math and Phys. Alexandria University, Egypt.

2 Assistant Professor, Dept. of Eng. Math and Phys. Alexandria University, Egypt.

Abstract

ABSTRACT
For a rigid body sliding on a rough surface, a range of uncertainty or non-uniqueness
of solution could be found, which is termed: Painlevé paradox. Painlevé paradox is
the reason of a wide range of bouncing motion, observed during sliding of robotic
manipulators on rough surfaces [1,2]. In this research work, the existence of the
paradox zone during the sliding motion of a two-link manipulator is investigated.
Parametric study is performed to investigate the effect of friction, link-length ratio,
and link-mass ratio on the paradox zone.

Keywords