通过几何变化实现可重构结构的连续重编程，适用于深空探测。
Continuous Design and Reprogramming of Totimorphic Structures for Space Applications
- 基于可微分优化，仅通过几何调整实现性能连续调控。
- 验证了非有序材料与可调焦镜面两种深空应用方案。
- 适合需要自适应、自修复的轻量化空间系统设计者。
近期提出一类可重构零刚度结构的机械晶格，称为Totimorphic晶格。本文引入一种计算框架，仅通过几何变化即可连续重编程Totimorphic晶格的有效性能（如力学与光学特性），并通过计算机模拟验证。该方法具有可微分性，确保优化过程始终生成有效配置，不仅能获得目标性能状态，还能提供连接这些状态的连续配置轨迹。这使得执行器可通过依赖目标的损失函数自动微分进行控制，持续调整晶格以达成特定目标。研究聚焦深空应用，针对严苛且资源受限的环境，需兼顾灵活性、效率与自主性。作为概念验证，展示了两种场景：可重编程的无序晶格材料，以及可调焦距的空间望远镜镜面。所提框架可适配多种Totimorphic设计与目标，为物理系统提供轻量级自主自配置与自修复能力。
原文摘要 · Abstract (English)
Recently, a class of mechanical lattices with reconfigurable, zero-stiffness structures has been proposed, called Totimorphic lattices. In this work, we introduce a computational framework that enables continuous reprogramming of a Totimorphic lattice's effective properties, such as mechanical and optical behaviour, through geometric changes alone, demonstrated using computer simulations. Our approach is differentiable and guarantees valid Totimorphic configurations throughout the optimisation process, providing not only target states with desired properties but also continuous trajectories in configuration space that connect them. This enables reprogrammable structures in which actuators are controlled via automatic differentiation on an objective-dependent cost function, continuously adapting the lattice to achieve a given goal. We focus on deep space applications, where harsh and resource-constrained environments demand solutions that combine flexibility, efficiency, and autonomy. As proof of concept, we present two scenarios: a reprogrammable disordered lattice material and a space telescope mirror with adjustable focal length. The introduced framework is adaptable to a wide range of Totimorphic designs and objectives, providing a lightweight model for endowing physical systems with autonomous self-configuration and self-repair capabilities.
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