标题： N球形微机器人的自推进速度 显示英文标题

标题： Self-propulsion velocity of N-sphere micro-robot

摘要： 本文的目的是推导出由沿固定直线运动的N个球组成的微游泳器的自推进速度的解析表达式。 这些球通过长度按周期变化的杆相互连接。 在推导过程中，我们使用包含双时间法和特殊极限的渐近过程。 我们的最终公式表明，在主要近似下，自推进速度由所有可能的三个球之间的相互作用决定。 显示英文摘要

摘要： The aim of this paper is to derive an analytical expression for the self-propulsion velocity of a micro-swimmer that consists of N spheres moving along a fixed line. The spheres are linked to each other by the rods of the prescribed lengths changing periodically. For the derivation we use the asymptotic procedure containing the two-timing method and a distinguished limit. Our final formula shows that in the main approximation the self-propulsion velocity is determined by the interactions between all possible triplets of spheres.