arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2610.04320physics.class-phphysics.app-ph

双阵列 RopeComb:一种具有可合成递增机械优势的导向平衡传动装置,用于阻抗匹配发射

The dual-array RopeComb: a guide-balanced transmission with synthesisable rising mechanical advantage for impedance-matched launch

Rami N. Mahdi

首次发表
浏览论文内容

中文总结 AI 辅助

本文提出双阵列 RopeComb 传动装置,通过离散滑轮合成递增机械优势,实现阻抗匹配发射,抵消反作用力与倾覆力矩,提升力均匀性。

中文摘要 AI 辅助

将动能从缓慢、高力驱动器高效传递给轻质有效载荷,并保持近均匀的输出力,需要一种机械优势沿陡峭凸形轮廓上升的传动装置。连续轮廓机构(变半径滚筒、凸轮)因直径跨度、惯性和轮缘爆裂而在规模上变得不可行。RopeComb 通过将离散等半径滑轮组偏转张力构件成交错跨度来合成轮廓($G = 0 \ o 100+$),从而绕过了这些限制。每个折叠的比率在首次接触时消失,使得在 10 m/s 速度下无需离合器或阻尼器即可实现无冲击接合。由于阵列比率是闭式解,有界最小二乘法在 100:1 至 10,000:1 的质量比范围内,使用 8-13 个构件,可将均匀力目标匹配到 0.6-1.5% 以内。为了承载大型托架反作用力而避免单个阵列施加的倾覆力矩,两个独立阵列位于中央导向件两侧,并驱动一个分区的固定比率级($n_1 + n_2 = k$)。在 $k=7$ 的模拟 1,000:1 发射中,按下降计数比 $n_2: n_1$ 调整阵列比率和构件数量,可抵消单个阵列反作用力的 97.7% 和其倾覆力矩的 95%,将顺应性峰值-平均有效载荷力从 1.40 降至 1.13。所有结果均为数值结果。

英文摘要

Efficiently transferring kinetic energy from a slow, high-force driver to a light payload, with a near-uniform output force, requires a transmission whose mechanical advantage rises along a steeply convex profile. Continuous-contour mechanisms (variable-radius drums, cams) become prohibitive at scale through diameter span, inertia and rim burst. The RopeComb bypasses these limits by synthesising profiles ($G = 0 \to 100+$) from discrete constant-radius sheaves deflecting tension members into staggered spans. Each fold's ratio vanishes at first contact, enabling snatch-free engagement at 10 m/s without clutches or dampers. Because the array ratio is closed-form, bounded least squares matches uniform-force targets to within 0.6-1.5% across mass ratios of 100:1 to 10,000:1 using 8-13 members. To carry large carriage reactions without the overturning moment a single array imposes, two independent arrays flank a central guide and drive a partitioned fixed-ratio stage ($n_1 + n_2 = k$). Sizing array ratios and member counts in the fall-count ratio $n_2 : n_1$ cancels 97.7% of the single-array reaction and 95% of its overturning moment in simulated 1,000:1 launches at $k=7$, reducing compliant peak-to-mean payload force from 1.40 to 1.13. All results are numerical.

发表机构

  • Interesting Machines LLC(有趣机器有限责任公司)

机构由 AI 辅助整理,请以论文原文为准。

补充信息

↑