The rigidity of periodic body-bar frameworks on the three-dimensional fixed torus

Ross E.

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The rigidity of periodic body-bar frameworks on the three-dimensional fixed torus

机译：三维固定环上周期性车身-钢筋骨架的刚度

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摘要

We present necessary and sufficient conditions for the generic rigidity of body-bar frameworks on the three-dimensional fixed torus. These frameworks correspond to infinite periodic body-bar frameworks in ?~3 with a fixed periodic lattice.

机译：我们为三维固定圆环上的车身-钢筋骨架的通用刚度提供了必要和充分的条件。这些框架对应于？〜3中具有固定周期晶格的无限周期体-杆框架。

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《Philosophical transactions of the Royal Society. Mathematical, physical, and engineering sciences》 |2014年第2008期|共23页
作者
Ross E.;
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正文语种 eng
中图分类数学;物理学;一般工业技术;
关键词
Body-bar frameworks; Gain graphs; Generic rigidity; Inductive constructions; Infinitesimal rigidity; Periodic frameworks;

机译：车身框架;增益图;一般刚度;归纳构造;极小刚度;周期框架;

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1. The rigidity of periodic body-bar frameworks on the three-dimensional fixed torus [J] . Ross E. Philosophical transactions of the Royal Society. Mathematical, physical, and engineering sciences . 2014,第2008期

机译：三维固定环上周期性车身-钢筋骨架的刚度
2. The rigidity of periodic frameworks as graphs on a fixed torus [J] . Elissa Ross Contributions to Discrete Mathematics . 2014,第1期

机译：固定框架作为图的固定框架的刚性
3. The rigidity of periodic frameworks as graphs on a fixed torus [J] . Elissa Ross Contributions to Discrete Mathematics . 2014,第1期

机译：固定框架作为图的固定框架的刚性
4. Periodic rigidity of protein crystal structures [C] . Clark P., Grant J., Monastra S., Computational Advances in Bio and Medical Sciences (ICCABS), 2012 IEEE 2nd International Conference on . 2012

机译：蛋白质晶体结构的周期性刚度
5. Periodic orbits in systems of two non-rigid particles on the torus. [D] . Maye, Steven Gerald. 2009

机译：圆环上两个非刚性粒子的系统的周期性轨道。
6. Three-dimensional periodic supramolecular organic framework ion sponge in water and microcrystals [O] . Jia Tian, Tian-You Zhou, Shao-Chen Zhang, -1

机译：水和微晶中的三维周期性超分子有机骨架离子海绵
7. The rigidity of periodic body-bar frameworks on the three-dimensional fixed torus [O] . Ross, Elissa 2012

机译：周期性体杆框架在三维空间上的刚性固定环面

The rigidity of periodic body-bar frameworks on the three-dimensional fixed torus

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