发现一类看似能动却实际僵硬的连杆机构,挑战传统运动性判断标准。
Hypo-paradoxical Linkages: Linkages That Should Move-But Don't
- 基于切比雪夫-格鲁布勒-库茨巴赫准则,识别出表面移动实则刚性的连杆结构
- 揭示了本特机制意外正自由度的现象,与新发现的反悖论现象形成对照
- 适合机械设计、机构学研究者阅读,理解运动性判断的边界条件
尽管悖论连杆因违反切比雪夫-格鲁布勒-库茨巴赫准则而表现出意外的运动性,我们发现了一类相反现象:某些连杆结构根据同一准则看似具有运动性,实际上却是刚性的。我们将这类结构称为反悖论连杆,并进一步分析和演示其行为特征。同时,利用相同工具解释了本特机制中出现的意外正自由度现象。
原文摘要 · Abstract (English)
While paradoxical linkages famously violate the Chebyshev-Grubler-Kutzbach criterion by exhibiting unexpected mobility, we identify an opposing phenomenon: a class of linkages that appear mobile according to the same criterion, yet are in fact rigid. We refer to these as hypo-paradoxical linkages, and proceed to analyze and illustrate their behavior. We use the same tools to further explain the unexpected positive mobility of Bennet mechanism.
Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。