FORM FINDING ANALYSIS OF CABLE-STRUT TENSILE DOME BASED ON TENSEGRITY TORUS
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摘要: 运用平衡矩阵奇异值分解技术,通过变换经典半八面体张拉整体单元的几何构型,对半规则张拉整体单元进行了自平衡构型的找形分析,给出了几何变换后的设计公式,并通过单元自应力模态和机构位移模态验证了单元的几何稳定性。对此单元进行环向拼装,得到了环形张拉整体结构并给出结构整体可行预应力。提出了环形张拉整体中部引入葵花形索穹顶的构造方法,构建了全张力自平衡的新型索杆穹顶结构,并对其进行了静力分析,表明该结构具有较好的刚度。最后通过实物模型进一步验证了该结构体系的可行性。该研究对张拉整体在实际工程中的应用具有一定促进作用。Abstract: The form finding analysis for self-equilibrium configuration of semi-regular tensegrity units was implemented by changing the geometry of classic half-octahedron tensegrity units. Singular value decomposition of equilibrium matrix was used in the form finding analysis. The design formulas for geometric transformation of the units were summarized and the geometric stability was verified combined with the self-stress modes and inextensible displacement modes of the units. The tensegrity torus was developed by assembling the units annularly and the overall feasible self-stress of the torus was presented as well. A novel self-balancing cable-strut tensile dome was generated by introducing a Levy type cable dome in the center. A static analysis of the structure was performed indicating that the structure had high stiffness. Finally a physical model was made to verify the feasibility of the structural system. This work will encourage and support the practical applications of tensegrity.
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Keywords:
- semi-regular tensegrity /
- tensegrity torus /
- form finding analysis /
- self-stress modes /
- cable dome
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