论文标题

控制机制的配置空间拓扑

Controlling the configuration space topology of mechanisms

论文作者

Berry, M., Limberg, David, Lee-Trimble, M. E., Hayward, Ryan, Santangelo, C. D.

论文摘要

连锁是由刚性条和自由旋转的关节构建的机械设备,既是在工程上的效用,又是许多物理系统中的数学理想化。最近,人们对设计联系以执行物理社区的某些任务引起了人们的兴趣。我们通过首先识别临界点的流形,然后在此类关键配置周围扰动来设计链接的配置空间拓扑的方法。然后,我们通过设计一种机制来证明我们的过程,以将孤子构的kane-lubensky链链链链构成隔离。

Linkages are mechanical devices constructed from rigid bars and freely rotating joints studied both for their utility in engineering and as mathematical idealizations in a number of physical systems. Recently, there has been a resurgence of interest in designing linkages to perform certain tasks from the physics community. We describe a method to design the topology of the configuration space of a linkage by first identifying the manifold of critical points, then perturbing around such critical configurations. We then demonstrate our procedure by designing a mechanism to gate the propagation of a soliton in a Kane-Lubensky chain of interconnected rotors.

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