Forward Kinematics Analysis and Tension Distribution of a Cable-Driven Sinking Winches Mechanism

TL;DR

This paper develops a novel forward kinematics model for a cable-driven sinking winches mechanism that accounts for cable slackness, introducing an algorithm to determine tension states and platform pose for improved control and stability.

Contribution

It presents the Traversal-Solving-Algorithm that considers cable slackness in forward kinematics, enhancing accuracy and control of sinking winches mechanisms.

Findings

Algorithm effectively determines cable tension states and platform pose.

Model improves control for stable and level platform motion.

Verification through four example cases confirms effectiveness.

Abstract

This paper concerns the forward kinematics and tension distribution of sinking winches mechanism, which is a type of four-cable-driven partly constrained parallel robot. Conventional studies on forward kinematics of cable-driven parallel robot assumed that all cables are taut. Actually, given the lengths of four cables, some cables may be slack when the platform is in static equilibrium. Therefore, in this paper, the tension state (tautness or slackness) of cables is considered in the forward kinematics model. We propose Traversal-Solving-Algorithm, which can indicate the tension state of cables, and further determine the pose of the platform, if the lengths of four cables are given. The effectiveness of the algorithm is verified by four examples. The results of this paper can be used to control sinking winches mechanism to achieve the level and stable motion of the platform, and to make the tension distribution of cables as uniform as possible.