Characterization and parameterization of the singular manifold of a simple 6-6 Stewart platform

TL;DR

This paper analyzes the singular configurations of a specific Stewart platform, showing it is always in a singular state and providing a parameterization of its singular manifold for better understanding and control.

Contribution

It introduces a parameterization method for the singular manifold of a Stewart platform with specific geometric constraints, enhancing the understanding of its singular configurations.

Findings

The platform is always in a singular configuration under the studied conditions.

The singular manifold can be effectively parameterized by a scalar parameter.

Provides insights into the platform's behavior for improved design and control.

Abstract

This paper presents a study of the characterization of the singular manifold of the six-degree-of-freedom parallel manipulator commonly known as the Stewart platform. We consider a platform with base vertices in a circle and for which the bottom and top plates are related by a rotation and a contraction. It is shown that in this case the platform is always in a singular configuration and that the singular manifold can be parameterized by a scalar parameter.