Novel methods to escape Painlevé paradox for sliding multi-body systems

Considering rough sliding of multi-body systems, a range of uncertainty or non-uniqueness of solution could be found, which is termed: Painlevé paradox. If occurs, it leads to undesired detachments between the end effector of a robotic manipulator and the sliding surface. In this research work, the...

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Bibliographic Details
Main Authors: Khaled Mohamed, Hesham Elkaranshawy, Ahmed Ashour, Hassan Alkomy
Format: Article
Language:English
Published: Elsevier 2021-02-01
Series:Alexandria Engineering Journal
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1110016820305986
Description
Summary:Considering rough sliding of multi-body systems, a range of uncertainty or non-uniqueness of solution could be found, which is termed: Painlevé paradox. If occurs, it leads to undesired detachments between the end effector of a robotic manipulator and the sliding surface. In this research work, the condition leading to Painlevé paradox is specified. To examine the factors affecting the paradox, parametric studies are performed for two sliding manipulators; Prismatic-Revolute manipulator (P-R), and Revolute-Prismatic (R-P) manipulator. These parametric studies investigate the effect of the coefficient of friction and links' lengths and inertia. Recommendations to escape the paradox zone are proposed including a novel conjecture through rearranging the joints of the robot.
ISSN:1110-0168