Morphing of and writing with a scissor linkage mechanism

📅 2026-02-16
📈 Citations: 0
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🤖 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.

Technology Category

Intelligent Robots: ManipulationSearch and Optimization: Sampling/Simulation-based SearchCognitive Modeling & Cognitive Systems: Simulating Human Behavior

Application Category

Responsible Web: Machine-in-the-loop, human agency and autonomyUser Modeling, Personalization and Recommendation: User modeling and simulation for interactive and conversational systemsSystems and Infrastructure for Web, Mobile and WoT: Applied ML and AI for Web-based mobile applications
📝 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.
Problem

Research questions and friction points this paper is trying to address.

scissor linkage
shape morphing
writing
kinematics
optimization
Innovation

Methods, ideas, or system contributions that make the work stand out.

scissor linkage
shape morphing
differentiable simulation
kinematic optimization
single-degree-of-freedom mechanism
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M
Mohanraj A
Department of Applied Mechanics & Biomedical Engineering, IIT Madras, Chennai, TN 600036
S Ganga Prasath
S Ganga Prasath
Indian Institute of Technology Madras
Soft-mechanicsRoboticsBehavior