Rigidity of partially symmetric structures

部分对称结构的刚度

• 批准号: 2114095
• 金额: --
• 依托单位: Lancaster University
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2018
• 资助国家: 英国
• 起止时间: 2018 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2114095
• 关键词: Rigidity; partially; symmetric; structures

A bar-joint framework is the combination of a graph and a realisation in Euclidean space. The framework is rigid if the only edge-length preserving continuous motions of the vertices arise from isometries of the space. Generically, rigidity is well understood as a purely combinatorial property. However in most practical applications some particular geometry is present. One of the most common special geometry is the presence of symmetry or partial symmetry. Using techniques from algebra, geometry and combinatorics the project will seek to provide a combinatorial understanding of when a partially symmetric framework is rigid.

一个棒-关节框架是一个图和在欧几里得空间中的实现的组合。框架是刚性的，如果唯一的边长保持连续运动的顶点产生的等距空间。一般来说，刚性被很好地理解为纯粹的组合性质。然而，在大多数实际应用中，存在一些特定的几何形状。最常见的特殊几何之一是对称或部分对称的存在。利用代数，几何和组合学的技术，该项目将寻求提供一个组合的理解，当一个部分对称的框架是刚性的。