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

DOI Web Site 被引用文献1件 参考文献56件 オープンアクセス
  • Qian Zhang
    Key Labortary of C & PC Structures of Ministry of Educaiton, National Prestress Engineering Research Center, Southeast University, Nanjing 210096, China
  • Xinyu Wang
    Key Labortary of C & PC Structures of Ministry of Educaiton, National Prestress Engineering Research Center, Southeast University, Nanjing 210096, China
  • Jianguo Cai
    Key Labortary of C & PC Structures of Ministry of Educaiton, National Prestress Engineering Research Center, Southeast University, Nanjing 210096, China
  • Jingyao Zhang
    Department of Architecture and Architectural Engineering, Kyoto University, Kyoto-Daigaku Katsura, Nishikyo, Kyoto 615-8540, Japan
  • Jian Feng
    Key Labortary of C & PC Structures of Ministry of Educaiton, National Prestress Engineering Research Center, Southeast University, Nanjing 210096, China

書誌事項

公開日
2020-03-02
資源種別
journal article
権利情報
  • https://creativecommons.org/licenses/by/4.0/
DOI
  • 10.3390/sym12030374
公開者
MDPI AG

説明

<jats:p>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.</jats:p>

収録刊行物

  • Symmetry

    Symmetry 12 (3), 374-, 2020-03-02

    MDPI AG

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