The study of the ability of a cable driven robot (CDR) to generate motion between poses (motion generation capability) is important for many purposes such as motion planning and manipulator design. Existing analysis approaches that study CDR capability primarily do so by evaluating the mechanism's wrench generation abilities. Due to the nonlinear relationship between wrench and motion generation, these methods typically underestimate the true motion generation capability of a CDR and can result in conservative restrictions in operation. In this paper, two new metrics derived from the available acceleration set are proposed to better understand CDR motion generation capability. Using these metrics and the known properties of the static workspace, the maximum acceleration and speed capabilities of the CDR are quantified. This new information serves to better inform other technical aspects in the design, analysis and operation of CDRs, such as in workspace design and motion planning. To illustrate the application of the proposed metrics, two example robots are considered: a 2 link 2 DoF 4 cable CDR and a 6 DoF 7 cable CDR. The results show the insights into motion generation and how it provides new information to be used within motion planning and task scaling.
Read full abstract