🤖 AI Summary
This study investigates how a single-degree-of-freedom scissor-linkage mechanism can achieve controllable shape morphing and perform writing tasks. By constructing a mechanism composed of interconnected scissor units, the authors derive analytical expressions for its effective curvature and end-effector trajectory, then formulate the task as an optimization problem solved via a differentiable physics-based simulation framework. This work presents the first integration of differentiable simulation into scissor-linkage systems, enabling complex shape programming and task execution without requiring multiple actuators. Experimental results demonstrate the feasibility of the approach in accomplishing both shape deformation and writing tasks in a desktop setting, highlighting its potential for autonomous operation in constrained or complex environments.
📝 Abstract
Kinematics of mechanisms is intricately coupled to their geometry and their utility often arises out of the ability to perform reproducible motion with fewer actuating degrees of freedom. In this article, we explore the assembly of scissor-units, each made of two rigid linear members connected by a pin joint. The assembly has a single degree of freedom, where actuating any single unit results in a shape change of the entire assembly. We derive expressions for the effective curvature of the unit and the trajectory of the mechanism's tip as a function of the geometric variables which we then use as the basis to program two tasks in the mechanism: shape morphing and writing. By phrasing these tasks as optimization problems and utilizing the differentiable simulation framework, we arrive at solutions that are then tested in table-top experiments. Our results show that the geometry of scissor assemblies can be leveraged for automated navigation and inspection in complex domains, in light of the optimization framework. However, we highlight that the challenges associated with rapid programming and error-free implementation in experiments without feedback still remain.