Closed-Form Solutions for the Form-Finding of Regular Tensegrity Structures by Group Elements

Symmetry

卷:12

Jingyao Zhang¹  Xinyu Wang¹  Jianguo Cai²  Jian Feng²  Qian Zhang² 

[1] PC Structures of Ministry of Educaiton, National Prestress Engineering Research Center, Southeast University, Nanjing 210096, China;

[2] Key Labortary of C &

关键词: form-finding;    tensegrity structure;    force density;    closed-form solution;    super-stability;   

DOI  :  10.3390/sym12030374

来源: DOAJ

【 摘 要 】

An analytical form-finding method for regular tensegrity structures based on the concept of force density is presented. The self-equilibrated state can be deduced linearly in terms of force densities, and then we apply eigenvalue decomposition to the force density matrix to calculate its eigenvalues. The eigenvalues are enforced to satisfy the non-degeneracy condition to fulfill the self-equilibrium condition. So the relationship between force densities can also be obtained, which is followed by the super-stability examination. The method has been developed to deal with planar tensegrity structure, prismatic tensegrity structure (triangular prism, quadrangular prism, and pentagonal prism) and star-shaped tensegrity structure by group elements to get closed-form solutions in terms of force densities, which satisfies the super stable conditions.

【 授权许可】

Unknown